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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) fundamental groups; mixed Hodge structure; Riemann surfaces; Torelli type theorem Pulte M.J.: The fundamental group of a Riemann surface: mixed Hodge structures and algebraic cycles. Duke Math. J. 57(3), 721--760 (1988)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) height functions; projective varieties; canonical heights; Néron-Tate heights; abelian varieties; Silverman heights on K3-surfaces; heights on curves; Northcott's finiteness theorem Talamanca, V.: Height preserving linear transformations on linear spaces. (1995)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) elliptic surface; supersingular K3 surfaces; positive characteristic; finite Mordell-Weil group; infinite automorphism group Hiroyuki Ito, On automorphisms of supersingular \?3 surfaces, Osaka J. Math. 34 (1997), no. 3, 713 -- 724.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) relative Brauer group; relative Picard groups Verschoren, A.: Relative invariants of sheaves. (1986)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups of schemes; finite ground fields; arithmetic ground fields; motivic cohomology; motivic homotopy theory
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer-Manin obstruction to weak approximation; rational points; \(K3\) surfaces; good ordinary reduction
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) purity; inertia groups; branch locus of a normal cover of a regular scheme; fundamental group of the affine line in finite characteristic [Ha2] D. Harbater. On purity of inertia. Proc. Amer. Math. Soc.112, 311-319 (1991).
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) prime characteristic; Galois covers of affine varieties; fundamental groups; \(p\)-cohomological dimension D. Harbater, Embedding problems with local conditions, Israel Journal of Mathematics 118 (2000), 317--355.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) complete intersections; topology classification; complex projective space; homeomorphism; Pontryagin classes; Euler characteristic; bordism groups Fang, F. Q., Wang, J. B.: Homeomorphism classification of complex projective complete intersections of dimensions 5, 6 and 7. Math. Z., 266, 719--746 (2010)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Euler characteristic; dimensions of the cohomology groups of a coherent Bach, E.: Sheaf cohomology is #P-hard. J. symbolic comput. 27, No. 4, 429-433 (1999)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; semisimple algebraic group Gille, S., On the Brauer group of a semisimple algebraic group, Advances in Mathematics, 220, 913-925, (2009)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic K-theory; Brauer group; Galois cohomology group; Chow groups S. Bloch, Torsion algebraic cycles, \(K_2\), and Brauer groups of function fields , The Brauer group (Sem., Les Plans-sur-Bex, 1980), Lecture Notes in Math., vol. 844, Springer, Berlin, 1981, pp. 75-102.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) hyperelliptic integrals; formal groups; Siegel modular functions
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic cycles; Chow groups; motives; voisin conjecture; surfaces of general type; abelian varieties; Prym varieties
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) rational points; del Pezzo surfaces; heights
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) semisimple modules; Jacobson radical; central simple algebras; Brauer group; primitive rings; density theorem; representations of finite groups; global dimension; textbook Farb, B.; Dennis, R. K.: ''Noncommutative algebra,'', graduate texts in mathematics. (1993)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Cassels-Tate pairing; Albanese-Albanese definition; Weil pairing definition; genus \(g\) curve; Shafarevich-Tate group; abelian variety; Jacobian; hyperelliptic curves; local densities; Shimura curves; Brauer groups B. Poonen and M. Stoll, \textit{The Cassels--Tate pairing on polarized abelian varieties}, Ann. of Math. (2), 150 (1999), pp. 1109--1149.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) non-orientable surfaces; NEC groups; automorphisms; cyclic groups Bujalance, E; Cirre, FJ; Conder, MDE, Extensions of finite cyclic group actions on non-orientable surfaces, Trans. Am. Math. Soc., 365, 4209-4227, (2013)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) central simple algebras; Brauer groups; semisimple linear algebraic groups; Borel varieties; twisted flag varieties; projective varieties; change of Schur index; function fields; groups of inner type; parabolic subgroups; index reduction formula; Brauer-Severi varieties Merkurjev, A.; Panin, A.; Wadsworth, A., \textit{index reduction formulas for twisted flag varieties II}, J. K-Theory, 14, 101-196, (1998)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer group; \(K3\) surfaces Skorobogatov, Alexei N.; Zarhin, {\relax Yu} G., A finiteness theorem for the {B}rauer group of {K}3 surfaces in odd characteristic, International Mathematics Research Notices. IMRN, 2015, 11404-11418, (2015)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Deligne-Mumford stacks; homotopy theory; fundamental groups; uniformization; groupoids; Riemann surfaces; orbifolds; trees Kai Behrend & Behrang Noohi, ``Uniformization of Deligne-Mumford curves'', J. Reine Angew. Math.599 (2006), p. 111-153
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic \(p\); classification of minimal surfaces of general type; Chern numbers Shepherd-Barron, N. I., \textit{geography for surfaces of general type in positive characteristic}, Invent. Math., 106, 263-274, (1991)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Fuchsian groups; Weierstrass points; real algebraic geometry; birational automorphism groups of real curves; Siegel modular group; NEC groups; Teichmüller spaces; uniformization theory for Klein surfaces; automorphism groups of real algebraic curves \textsc{E. Bujalance, J. J. Etayo, J. M. Gamboa, and}\textsc{G. Gromadzki}, Automorphism Groups of Compact Bordered Klein Surfaces. A Combinatorial Approach, Lecture Notes in Mathematics, 1439, Springer-Verlag, Berlin, 1990.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) moduli of surfaces of general type; fundamental groups of algebraic varieties I. Bauer and F. Catanese, Burniat surfaces I: fundamental groups and moduli of primary Burniat surfaces, In: Classification of Algebraic Varieties, (eds. C. Faber et al.), EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011, pp. 49-76.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) bibliography; orthogonal reflections; regular polyhedra; Gosset; polyhedra; survey; basic invariants of reflection groups; diameter theory of algebraic surfaces; skew reflections V. F. Ignatenko, ''Some problems in the geometrical theory the invariants of groups generated by orthogonal and oblique reflections'', In:Problemy Geometrii, Vol. 16, Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1984), pp. 195--229.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) group actions; symmetric genera; strong symmetric genus; surface groups; Riemann surfaces May, C; Zimmerman, J, The symmetric genus of groups of odd order, Houst. J. Math., 34, 319-338, (2008)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic cycles and Chow groups; irreducible holomorphic symplectic varieties; moduli spaces; \(K3\) surfaces; cubic fourfolds
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Hopf algebras; Galois modules; local fields; tame extensions; Noether's theorem; ramification; formal groups Childs, L. N., Taming wild extensions: Hopf algebras and local Galois module theory, \textit{Am. Math. Soc}. vol. 80, (2000)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal languages; algebraic geometry over finite fields; rationality of zeta function; zeta function; formal power series; cyclic language; minimal ideals in finite semigroups; characteristic series; cyclic recognizable language; traces of finite deterministic automata; sofic system; symbolic dynamics J. BERSTEL and C. REUTENAUER, Zeta functions of formal languages. Trans. Amer. Math. Soc., 1990, 321, pp. 533-546. Zbl0797.68092 MR998123
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Galois structure of de Rham cohomology; tamely ramified cover of schemes; Euler characteristic in Grothendieck groups; rings of integers Chinburg, T.: Galois module structure of de Rham cohomology. J. Théorie Nr. Bordx. 4, 1--18 (1991)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) automorphism groups; Klein surfaces; N. E. C. groups; real algebraic curve of genus two
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic cycles; Chow groups; Severi-Brauer schemes
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Markoff surfaces; Brauer-Manin obstruction; integral Hasse principle; strong approximation
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) double covers; Brauer group; \(K3\) surfaces
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Azumaya algebra; ramified double covers of surfaces; Brauer group; Galois group Ford, T. J.: The Brauer group and ramified double covers of surfaces. Comm. algebra 20, 3793-3803 (1992)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) hyperelliptic surfaces; characteristic \(p\)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Gromov-Witten theory; loop groups; Bott periodicity; characteristic classes Y Savelyev, Bott periodicity and stable quantum classes, to appear in Selecta Math. N. S.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) abelian varieties; projective bundles; Heisenberg groups; Brauer group Brion, M.: Homogeneous projective bundles over abelian varieties. Algebra Number Theory 7(10), 2475--2510 (2013)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) central simple algebra with involution; étale algebra; Clifford algebra; Severi-Brauer variety; thin projective space; thin quadric; field of characteristic one; Galois cohomology
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; modular curves; new part of the Jacobian of the modular curve; Néron model; Shimura-Taniyama-Weil conjecture
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) ring theory; orders; valuation rings; Prüfer rings; Picard group; class groups; relative Brauer groups; crossed products; Clifford systems; skewfields; Riemann-Roch Theorem; almost split sequences; projective representations
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Eisenstein series; Fuchsian groups; degenerating Riemann surfaces Garbin, D.; Von Pippich, A. -M.: On the behavior of Eisenstein series through elliptic degeneration. Comm. math. Phys. 292, 511-528 (2009)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic \(K\)-theory; Brauer groups; excision
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) braids groups; Artin groups; mapping class groups of surfaces; Dehn twists; monodromy homomorphisms; isolated singularities Wajnryb B.: Artin groups and geometric monodromy. Invent. Math. 138, 563--571 (1999)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) isolated singularity; Milnor number; Euler characteristic; Swan conductor; compactification; formal scheme F. Orgogozo, \textit{Conjecture de Bloch et nombres de Milnor}, Ann. Inst. Fourier, \textbf{53} (2003), 1739-1754.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) finite simple groups; Beauville surfaces; simple algebraic groups; conjugacy classes R. Guralnick and G. Malle, Simple groups admit Beauville structures, J. Lond. Math. Soc. (2) 85 (2012), no. 3, 694-721.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic cycles; Chow groups; motives; finite-dimensional motives; \(K3\) surfaces Laterveer, R.: A family of cubic fourfolds with finite-dimensional motive, preprint
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Riemann surfaces; fuchsian groups; group actions; Jacobian varieties
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) moduli spaces; formal groups; p-adic representation theory Kohlhaase, J.: On the Iwasawa theory of the Lubin-Tate moduli space. Comput. Math. 149, 793--839 (2013)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Enriques surfaces; automorphisms; positive characteristic
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic stacks; Brauer-Severi schemes; equivariant Chow rings; Picard groups; quotient stacks; uniform cyclic covers Alessandro Arsie and Angelo Vistoli, \textit{Stacks of cyclic covers of projective spaces,} { Compositio Mathematica}, \textbf{vol. 140}, 647-666, 2004. DOI 10.1112/S0010437X03000253; zbl 1169.14301; MR2041774; arxiv math/0301008
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) cubic surfaces; rational points; Brauer-Manin obstruction; Shafarevich-Tate group
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(p\)-divisible groups; Hilbert modular surfaces; complex multiplication Howard, B.: Deforming endomorphisms of supersingular Barsotti-Tate groups. www2.bc.edu/\(\sim\)howardbe
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Riemann surfaces; fundamental groups
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Klein surfaces; automorphisms; simple groups; NEC groups Gromadzki G.: On extensions of simple real genus actions. Rocky Mt. J. Math. 35, 163--166 (2005)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) K3 surfaces; characteristic p; automorphism
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Riemann surfaces; permutation groups; finite simple groups; fixity; fixed points
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Oort stratification; Shimura varieties of PEL-type; Dieudonné spaces with PEL-structure; crystalline Dieudonné functor; truncated Barsotti-Tate groups; characteristic \(p\) Torsten Wedhorn, The dimension of Oort strata of Shimura varieties of PEL-type, Moduli of abelian varieties (Texel Island, 1999), Progress in Mathematics 195, Birkhäuser, 2001, p. 441-471
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) admissibility; patching; division algebras; Brauer groups; Galois groups D. Harbater, J. Hartmann and D. Krashen, Patching subfields of division algebras, Transactions of the American Mathematical Society 363 (2011), 3335--3349.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) cohomological Brauer group; normal algebraic surfaces; nonfree vector bundles Schröer, S.: There are enough Azumaya algebras on surfaces. Math. ann. 321, 439-454 (2001)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) rational surfaces; stable rationality; quasi-finite fields; cyclic splitting; Brauer group
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) automorphism groups of complex curves; classification of Riemann surfaces of genus 5; computer calculations Kuribayashi, A.; Murase, N.: Some applications of the existence theorem and the representability theorem of a Riemann surface. Bull. fac. Sci. engrg. Chuo univ. 27, 1-53 (1984)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) elliptic curve; formal group; modular form; isogeny; characteristic 2; homomorphism Bluher, A. W.: Relations between certain power sums of elliptic modular forms in characteristic two. J. number theory 70, 127-145 (1998)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(p\)-sequence; functional equation lemma; Artin-Mazur formal groups
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) fields of characteristic 3; lines on quartic surfaces Rams, S.; Schütt, M., 112 lines on smooth quartic surfaces (characteristic 3), Q. J. Math., 66, 941-951, (2015)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Chow groups; 0-cycles; Brauer groups; rationality
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) characteristic \(p\); formal schemes; Galois cover of algebraic curve; Abhyankar's conjecture; fundamental group of affine curves David Harbater, ``Abhyankar's conjecture on Galois groups over curves'', Invent. Math.117 (1994) no. 1, p. 1-25
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Rational points; Seminar; Bonn; Wuppertal; Mordell conjecture; proof of Tate conjecture; proof of Shafarevich conjecture; proof of the Mordell conjecture; logarithmic singularities; compactification of the moduli space of abelian varieties; modular height of an abelian variety; p-divisible groups; intersection theory on arithmetic surfaces; Riemann-Roch theorem; Hodge index theorem G. Faltings , G. Wüstholz , Rational Points, Aspects of Mathematics No. E6 , Vieweg, Braunschweig/Wiesbaden, 1984.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic cycles; Chow groups; motives; cubic fourfolds; hyperkähler varieties; \(K3\) surfaces; finite-dimensional motive 16. R. Laterveer, On the Chow groups of certain EPW sextics, submitted.
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Dessins d'enfants; Riemann surfaces; Fuchsian groups; field of moduli; field of definition; Galois group Wiman, A.: Über die hyperelliptischen curven und diejenigen vom Geschlechte \(p=3\), welche eindeutige transformationen in sich zulassen. Svenska Vet.-Akad. Handlingar Bihang till Handlingar \textbf{21}(I-1), 1-23 (1895)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(p\)-adic periods of an abelian variety; product formula for periods; complex multipictions; Lubin-Tate formal groups; Dieudonné modules; Faltings' height; Chowla-Selberg formula Colmez, P., Périodes des variétés abéliennes á multiplication complexe, Ann. of Math. (2), 138, 625-683, (1993)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) pedal curves; pedal surfaces; characteristic numbers
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) finite quasisimple groups; hyperbolic triples; Beauville surfaces; Beauville groups; finite classical groups Fairbairn B., Magaard K. and Parker C., Corrigendum: Generation of finite quasisimple groups with an application to groups acting on Beauville surfaces, Proc. Lond. Math. Soc. (3) 107 (2013), 1220-1220.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) automorphisms of Klein surfaces; automorphisms of Riemann surfaces; symmetries of Riemann surfaces; fixed points; Fuchsian groups; NEC groups Gamboa, J.M., Gromadzki, G.: On the set of fixed points of automorphisms of bordered Klein surfaces. Rev. Mat. Iberoam. 28(1), 113--126 (2012)
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) formal groups; Lazard theorem; bigebras; associated Lie algebra A. Frohlich, \textit{Formal Groups, in Ser. Lecture Notes in Mathematics}, Vol. 74 (Springer-Verlag, Heidelberg, 1968).
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) singular surface; zero-cycles; Chow groups; Grothendieck group; rational surfaces [Sr1] Srinivas, V.: Zero cycles on a singular surface. I. J. Reine Angew. Math.359, 90-105 (1985)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic curves; Fuchsian groups; Riemann surfaces
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Cubic surfaces; local fields; Brauer-Manin obstruction; Hasse principle; Brauer group Bright, Evaluating Azumaya algebras on cubic surfaces, Manuscripta Math. 134 pp 405-- (2011)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Grassmannians; fixed point ratios; numbers of fixed points; primitive permutation groups; almost simple classical groups; monodromy groups; coverings of Riemann surfaces Frohardt, D.; Magaard, K.: Grassmannian fixed point ratios. Geom. dedicata 82, 21-104 (2000)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Euler characteristic; toric hypersurface; complete intersection; intersection indices; Chow groups
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; Galois cohomology; local and global field; reductive group; Tate-Shafarevich kernel; weak approximation
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) root invariant; Tate cohomology; periodicity; formal groups Matthew Ando, Jack Morava, and Hal Sadofsky, Completions of \?/(\?)-Tate cohomology of periodic spectra, Geom. Topol. 2 (1998), 145 -- 174.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) zeta functions; Picard modular surfaces; Shimura varieties; automorphic \(L\)-functions; trace formula for reductive groups; automorphic representations; trace formula for unitary groups J.\ D. Rogawski, Analytic expression for the number of points mod \textit{p}, The zeta functions of Picard modular surfaces, Université de Montréal, Montreal (1992), 65-109.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Châtelet surfaces; Brauer group; Picard group; Hasse principle Várilly-Alvarado, A.; Viray, B., Higher dimensional analogues of châtelet surfaces, Bull. London Math. Soc., 44, 125-135, (2012)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Brauer groups; moduli of elliptic curves; level structures; Hilbert symbols
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) semisimple algebras; semisimple groups; representation rings; twisted flag varieties; \(G\)-equivariant motives; projective homogeneous variety; absolute Galois group; Severi-Brauer varieties; quadric hypersurfaces Panin, I. A., On the algebraic \(K\)-theory of twisted flag varieties, \(K\)-Theory, 8, 6, 541-585, (1994)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) real algebraic curves; Jacobians; Prym variety; Arf functions; Schottky groups; spinors; holomorphic differentials; theta functions; supercurves; classification; moduli problems; uniformization theorem for Riemann surfaces; Fuchsian group Natanzon, S. M., Moduli of real algebraic curves and their superanalogues. {S}pinors and {J}acobians of real curves, Rossiĭskaya Akademiya Nauk. Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk, 54, 3-60, (1999)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) dihedral subgroups; automorphism groups; Riemann surfaces; Fuchsian groups; integral symplectic matrices
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) \(p\)-adic \(L\)-functions; \(p\)-adic heights; global Zeta-module of \(p\)-adic \(L\)-functions; \(p\)-adic Birch and Swinnerton-Dyer formulas; Iwasawa theory of abelian varieties; good non-ordinary reduction; tower of local points; splitting of the Hodge filtration; lower bound; Selmer groups
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Mordell-Weil lattices; curve of higher genus; fibred surfaces; quadratic forms on Mordell-Weil groups; hyperelliptic curve; dual lattice T. Shioda, ''Mordell-Weil lattices for higher-genus fibrations,''Proc. Japan Acad.,68A, 247--250 (1992).
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) torsion group of the Mordell-Weil group of an elliptic curve; elliptic surfaces; Euler characteristic; singular fibres; size Miranda, R., Persson, U.: Torsion groups of Elliptic Surfaces. Compos. Math.72, 249--267 (1989)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) surface coverings; homology groups; Riemann surfaces
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) non-zero characteristic; Jacobian; product of additive groups
0
Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) Mordell-Weil lattices; positive characteristic; supersingular \(K3\) surfaces Hiroyuki Ito, Deformation of a singularity of type \?\(_{8}\) and Mordell-Weil lattices in characteristic 2, Math. Nachr. 283 (2010), no. 7, 1037 -- 1053.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) anabelian geometry; étale fundamental groups; \(p\)-adically closed fields; local-global principles for Brauer groups; rational points; valuations; Hilbert decomposition theory F. Pop, On the birational p-adic section conjecture, Compos. Math. 3 (2010), no. 3, 621-637.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) abundance conjecture; semi-log canonical surfaces; positive characteristic; imperfect fields
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) moduli theory of \(p\)-divisible groups; \(p\)-adic groups; characteristic \(p\); Tate modules; Shimura varieties; rigid-analytic period morphisms; non-archimedean uniformization; quasi-isogenies M. \textsc{Rapoport} and Th. \textsc{Zink}, \textit{Period spaces for}\(p\)\textit{-divisible groups}, Annals of Mathematics Studies, vol.~141, Princeton University Press, Princeton, 1996.
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) algebraic cycles; Chow groups; motives; finite-dimensional motives; \(K3\) surfaces; surfaces of general type Laterveer, R., Some results on a conjecture of voisin for surfaces of geometric genus one, Boll. Unione Mat. Ital., 9, 435-452, (2016)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) ring of formal series; Hopf algebras; quantum groups; coalgebra structure; m-valued formal group Kholodov, A. N.: Multi-dimensional two-valued commutative formal groups. J. soviet. Math. survey 43, 243-244 (1988)
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Brauer groups; formal groups; K3 surfaces; characteristic \(p\); heights Yui, Noriko, Formal {B}rauer groups arising from certain weighted {\(K3\)} surfaces, Journal of Pure and Applied Algebra, 142, 3, 271-296, (1999) mixed Hodge structure; canonical class; Euler characteristic; semistable degeneration of algebraic surfaces
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