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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quotient; isolated singularity; algebra of invariants
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Grassmannian; local Hilbert scheme Russell, H.: Degenerations of monomial ideals. Math. res. Lett. 11, 231-249 (2004)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quotient singularity; modular representation; pseudo-reflection; transvection Stepanov, D. A., Three-dimensional isolated quotient singularities in odd characteristic, Sbornik: Mathematics, 207, 873-887, (2016)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. extension group; tautological sheaf; tautological object; Hilbert scheme of points Markman, E., Mehrotra, S.: Integral transforms and deformations of K3 surfaces. arXiv:1507.03108 (2015)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. embedded resolution of singularities; Hilbert-Samuel function DOI: 10.1007/BF01393974
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. hypersurfaces; rational curves; Hilbert scheme Beheshti, R., Mohan Kumar, N.: Spaces of rational curves on complete intersections. Compositio Math. \textbf{149}, 1041-1060 (2013)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Khovanov homology; HOMFLY polynomial; rational DAHA; rational Cherednik algebra; torus knot; Hilbert scheme E. Gorsky, A. Oblomkov, J. Rasmussen, and V. Shende, Torus knots and the rational DAHA. \textit{Duke Math. J. }163 (2014), no. 14, 2709--2794.MR 3273582 Zbl 1318.57010
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert 16th problem; topological types of real smooth algebraic surfaces of degree 4; period map of a K3 surface RISLER (J.-J.) . - Types topologique des surfaces algébriques réelles de degré 4 dans RP3 . Géométrie des surfaces K3. Modules et périodes, Astérisque, n^\circ 126, Paris, 1985 . MR 785232 | Zbl 0556.14005
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution of cusp singularities; Shintani decomposition; totally real cubic number fields; Hilbert modular variety; family of cubics; evaluation of zeta-function DOI: 10.1007/BF01359864
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. cubic surface; discriminant polynomial; fiber bundle; incidence variety; moduli space; rational cohomology; simplicial resolution; universal family; Weyl group
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. normal surface singularity; sandwiched singularity
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. space of arcs through a singularity; resolution; exceptional divisor; toric singularities S. Ishii, J. Kollár, The Nash problem on arc families of singularities, \textit{Duke Math. J.} 120 no. 3 (2003) 601-620.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Kummer surface; group scheme; supersingular \(K3\) surface
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. algebraic surface; automorphism group; quotient Trepalin, A., Quotients of conic bundles, Transform. Groups, 21, 1, 275-295, (2016)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; algebraic curves; linear series; Brill-Noether range
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Kummer construction; Calabi-Yau variety; integral matrix groups; quotient singularity; virtual Poincaré polynomial Donten, M, On Kummer 3-folds, Rev. Mat. Complut., 24, 465-492, (2011)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. classification of quotient space of projective K3 surface; involution; rational surfaces with quotient singularities D.-Q. Zhang, Quotients of \?3 surfaces modulo involutions, Japan. J. Math. (N.S.) 24 (1998), no. 2, 335 -- 366.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. differential graded categories; triangulated categories; derived noncommutative schemes; finite-dimensional algebras; geometric realizations; noncommutative algebraic geometry; quasi-coherent sheaves; homological algebra; perfect complexes; unbounded derived category; enough injectives; classical generator; homotopy category; enhanced category; noncommutative scheme; noncommutative derived scheme; compactification; resolution of singularities; Serre functor; geometric realization; pure geometric realization; phantoms; quasi-phantoms; Krull-Schmidt partners
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Gorenstein surface singularity; complete intersection singularity Neumann, W.D., Wahl, J.: Universal abelian covers of surface singularities. In: Libgober, A., Tibăr, M. (eds.) Trends in Singularities. Trends in Mathematics, pp. 181-190. Birkhäuser, Basel (2002)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. surface singularity; fixed component; reducible curve K. Konno, On the fixed loci of the canonical systems over normal surface singularities, Asian J. Math. 12 (2008), 449--464.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. normal Gorenstein surface; log-canonical model; Gorenstein singularity; log-plurigenera T. OKUMA, A criterion for a normal surface singularity to be a quotient singularity,
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. symplectic resolution; symplectic linear quotient singularities; classification; smooth symplectic variety; Verbitsky's result
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. linearization of semisimple groups; flat algebraic group scheme; equivariant resolution Thomason, R. W., \textit{equivariant resolution, linearization, and hilbert's fourteenth problem over arbitrary base schemes}, Adv. Math., 65, 16-34, (1987)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. numerical canonical divisor; normal surface singularity ----, On-K 2for normal surface singularities II.Int. J. Math. 11 (2000), 1193--1202.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. punctual Hilbert scheme; Gorenstein Casnati, G.; Notari, R., On the Gorenstein locus of some punctual Hilbert schemes, \textit{J. Pure Appl. Algebra}, 213, 2055-2074, (2009)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. normal surface singularity; contracting automorphism; weighted homogeneous singularity Favre, C; Ruggiero, M, Normal surface singularities admitting contracting automorphisms, Ann. Fac. Sci. Toulouse Math. (6), 23, 797-828, (2014)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution of singularities; simple normal crossings; semisimple normal crossings; desingularization invariant; Hilbert-Samuel function; singularities of pairs; log-resolution of singularities Bierstone, Edward; Vera Pacheco, Franklin, Resolution of singularities of pairs preserving semi-simple normal crossings, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas. RACSAM, 107, 159-188, (2013)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. simultaneous resolution; non-log-canonical singularity; equisingular deformation
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme of cubics; generators of the Chow group; Schubert cycles; flag
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(K3\) surfaces; moduli spaces; Galois representations; Hilbert scheme of points
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. determinantal subvariety; maximal minors; Hilbert scheme D. Faenzi, M. L. Fania, On the Hilbert scheme of varieties defined by maximal minors. \textit{Math. Res. Lett}. 21 (2014), 297-311. MR3247058 Zbl 1304.14063
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. polarized surface; Hilbert curve; numerical equivalence
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. 0-dimensional schemes; postulation; quadric surface; Hilbert function
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. normal quasiprojective surface; \(K_ 0\); resolution of singularities M. Levine , K-groups of surface singularities and modules of finite length , Compositio Math. 59 (1986) 21-40.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; integral operator; integral basis Qin, Z.; Wang, W., Integral operators and integral cohomology classes of Hilbert schemes, Math. Ann., 331, 3, 669-692, (2005)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. deformation; degeneration; complex quadric; Hilbert scheme
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Grassmannian variety; quotient scheme; convolutional codes; MDS codes
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. deformations of an isolated singularity; tangent space; rational surface singularity; exceptional divisor K. Behnke and H. Knörrer, On infinitesimal deformations of rational surface singularities, Compos. Math. 61 (1987), no. 1, 103-127.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. smooth space curves; unstable normal bundle; Hilbert scheme; instability degree Ramella, L., Strata of smooth space curves having unstable normal bundle, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), 2, 499-516, (1999)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; blow-up; Chow ring; Hironaka diagram
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; Grassmannian degeneracy locus; webs of linear complexes; linear system; Palatini scroll; secant variety M. L. Fania, E. Mezzetti, On the Hilbert scheme of Palatini threefolds. \textit{Adv. Geom}. 2 (2002), 371-389. MR1940444 Zbl 1054.14052
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. anti-symplectic involution; symplectic four-manifold; almost complex structure; Lagrangian surface; quotient manifold Cho, Y. S., Hong, Y. H.: Almost complex structure and the quotient four-manifold by an anti-symplectic involution. Topol. and its Appl., 157, 385--397 (2010)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Euler characteristic; Milnor fiber; surface singularity Ban, C.; Mcewan, L. J.; Némethi, A.: On the Milnor fiber of a quasi-ordinary surface singularity, Canad. J. Math. 54, 55-70 (2002)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert surface; Maass forms; period; Hirzebruch-Zagier cycle; \(L\)-values
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. apolarity; border rank; Cox ring; invariant ideals; multigraded Hilbert scheme; variety of sums of powers
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; Gromov-Witten numbers Jacqueline Rojas and Israel Vainsencher, Canonical curves in \Bbb P³, Proc. London Math. Soc. (3) 85 (2002), no. 2, 333 -- 366.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; lexicographic order; initial ideal 10.1307/mmj/1220879402
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Riemann Hilbert correspondence; irregular singularity; l-adic sheaves
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Bibliography; Hilbert scheme; space curve; multisecant line; multisecant plane; stratifications A. HIRSCHOWITZ , Sections planes et multisécantes des courbes gauches génériques principales (Space Curves, Proceedings Rocca di Papa, 1985 , Lect. Notes in Math. (à paraître)]. Zbl 0622.14019
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme of points; Gröbner stratum; lexicographic order; reduced points Mathias Lederer (2014). Components of Gröbner strata in the Hilbert scheme of points. \textit{Proc. Lond. Math. Soc}. (3) \textbf{108}(1), 187-224. ISSN 0024-6115. URL http://dx.doi.org/10.1112/plms/pdt018.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Brill-Noether problem; projective plane; postulation; Hilbert scheme Brun, J.; Hirschowitz, A.: Le problème de brill -- Noether pour LES idéaux de P2. Ann. sci. École norm. Sup. (4) 20, 171-200 (1987)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. square-tiled surface; Teichmüller curve; pseudo-Hilbert modular surfaces; compactification of moduli spaces; Jacobi forms; Theta functions; Intersection products
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. log-regular scheme; blow-up; resolution of singularities; toric Nizioł, {W}iesława, Toric singularities: log-blow-ups and global resolutions, Journal of Algebraic Geometry, 15, 1-29, (2006)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. log canonical singularity; exceptional singularities; exceptional 3-dimensional quotient singularities Yu. G. Prokhorov and D. Markushevich, ''Exceptional Quotient Singularities,'' Am. J. Math. 121, 1179--1189 (1999).
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution of singularities; stable simple normal crosssings; desingularization invariant; Hilbert-Samuel function; presentations
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Bialynicki-Birula stratification; zero-dimensional scheme; affine plane; Hilbert function Evain, L., Irreducible components of the equivariant punctual Hilbert schemes, Adv. Math., 185, 328-346, (2004)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert modular surface; foliation; real multiplication; Teichmüller theory; polygonal billiards; Lattès map McMullen C.: Foliations of Hilbert modular surfaces. Am. J. Math. 129, 183--215 (2007)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. classifying spaces; moduli problems; Hilbert polynomial; Hilbert scheme; complex Kähler manifolds; Hodge theory I. Shafarevich, \textit{Basic algebraic geometry}, Springer (1988), see Chapter I, section 1.4.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hamiltonian reduction of an enhanced Borel subalgebra; Grothendieck-Springer resolution; moment maps; regular semisimple locus; generalized almost-commuting varieties; Hilbert schemes
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; strongly stable ideal; polynomial reduction relation Bertone, C.; Cioffi, F.; Lella, P.; Roggero, M., Upgraded methods for the effective computation of marked schemes on a strongly stable ideal, J. Symbolic Comput., 50, 263-290, (2013)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. zero-dimensional scheme; Cayley-Bacharach scheme; almost Gorenstein; Dedekind different; Hilbert function; Dedekind's formula
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; line bundle; k-very ampleness Fabrizio Catanese and Lothar Gœttsche, \?-very-ample line bundles and embeddings of Hilbert schemes of 0-cycles, Manuscripta Math. 68 (1990), no. 3, 337 -- 341.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. finite vector bundle; \(S\)-fundamental group scheme; Hilbert scheme; semistable bundle; Tannakian category
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. fat point; Hilbert function; minimal number of homogeneous generators; minimal free resolution
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. moduli spaces of half-canonical extremal curves; Castelnuovo inequality; Hilbert scheme of smooth curves of genus \(g\) and degree \(d\); linear system; rotationality of moduli space
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. factoriality; generic Zariski surface; Jacobian derivation; singularity; class group J. Lang : Locally factorial generic Zariski surfaces are factorial . J. Alg., to appear.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. components of the Hilbert scheme of curves; Grassmannian; flag manifold; deformation
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. algebraic cycle; elliptic variety; standard conjecture of Lefschetz type; \(K3\) surface; abelian scheme Tankeev, S G, On the standard conjecture for complex 4-dimensional elliptic varieties and compactifications of Néron minimal models, Izv. Ross. Akad. Nauk Ser. Mat., 78, 181-214, (2014)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. supermanifold; superspace; projectedness; Hilbert scheme
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. resolution of surface singularities; Newton polygon; equimultiple locus; blowup
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. quotients by vector fields; class groups of normal domains; Cohen- Macaulay singularity; characteristic p; discriminantal locus; quotient singularities; complete intersection; p-radical descent Aramova, A; Avramov, L, Singularities of quotients by vector fields in characteristic \(p>0\), Math. Ann., 273, 629-645, (1986)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; quantization; Lagrangian fibration; Lie-Reinhart algebra; Gaudin model Enriquez, B., Rubtsov, V.: Quantizations of the Hitchin and Beauville-Mukai integrable systems. Moscow Math. J. 5(2), 329--370 (2005)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. determinant line bundle; vertex operators; loop group; Kac-Moody Lie algebras; affine algebras; infinite-dimensional Lie groups; central extensions; circle group; Grassmannian; polarized Hilbert space; Schubert cell decomposition; homogeneous space; complex manifold; Borel-Weil theory; spin representation; Kac character formula; Bernstein-Gel'fand- Gel'fand resolution
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; vertex operators; affine Lie algebras; moduli space I. Grojnowski, \textit{Instantons and affine algebras I: the Hilbert scheme and vertex operators}, alg-geom/9506020 [INSPIRE].
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. double quadric; Fano's threefolds; Picard group; Hilbert scheme; Albanese variety; Jacobian variety
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. lines on surfaces; enumerative formulas for multisecant lines; intersection formula; excess intersection; Hilbert scheme Le Barz, P.: Contribution des droites d'une surface à ses multisécantes. Bull. Soc. Math. France 112, 303--324 (1984)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert modular surfaces; minimal complex projective nonsingular algebraic surface S of general type; classification of surfaces Barlow, R, A simply connected surface of general type with \(p_g=0\), Invent. Math., 79, 293-301, (1985)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. arithmetic genus; Hilbert scheme at points corresponding to smooth Castelnuovo curves; Zariski tangent space [C2] Ciliberto C.,On the Hilbert scheme of curves of maximal genus in a projective space, Math. Z. 194 (1987) no. 3, 351--363
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; standard vector bundle; top Segre class Troshina, T., The degree of the top Segre class of the standard vector bundle on the Hilbert scheme hilb4S of an algebraic surface S, Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 57, 106-129, (1993)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. fat points; projective plane; Weyl group; graded Betti number; Hilbert function; rational surface Harbourne, B., The ideal generation problem for fat points, J. Pure Appl. Algebra, 145, 165-182, (2000)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; symmetric product; generating series; power structure; Pontrjagin ring; motivic exponentiation; characteristic classes S.\ E. Cappell, L. Maxim, T. Ohmoto, J. Sch\"nurmann and S. Yokura, Characteristic classes of Hilbert schemes of points via symmetric products, Geom. Topol. 17 (2013), no. 2, 1165-1198.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(\alpha\)-semistable coherent systems; Donaldson numbers; intersection numbers; Hilbert scheme He M., Espaces de modules de systèmes cohérents. II. Nombres de Donaldson, C. R. Acad. Sci. Paris Sér. I Math., 1997, 325(3), 301--306
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. $\mathbb{A}^1$-cylinder; affine Fano variety; $\alpha$-invariant; automorphism; birational automorphism; del Pezzo surface; Fano variety; finite quotient of affine space; $\mathbb{G}_a$-action; log Noether-Fano inequality; polar cylinder; purely log terminal; super-rigidity
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. positive entropy; quotient of a torus; quotient singularity; minimal model program [38] Zhang (D-Q).-- Algebraic varieties with automorphism groups of maximal rank, Math. Ann., 355(1), p.~131-146 (2013). &MR~30 | &Zbl~1262.
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. double structure; arithmetically Gorenstein; Hilbert scheme
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. plurigenus; stable surface; semi-log-canonical singularity
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. surface singularity; Lipschitz geometry; bilipschitz equivalence
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. semistable vector bundle; principal G-vector bundle; Hilbert polynomial; ordinary node singularity; geometric invariant theory
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert's 16th problem; numerical quintic surface; real complex surface; first Betti number; real Horikawa curves; Viro's method Bihan, F, Une quintique numérique réelle dont le premier nombre de Betti est maximal, C. R. Acad. Sci. Paris Sér. I Math., 329, 135-140, (1999)
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. relative Hilbert schemes; intersection numbers; projective surface; Donaldson-Thomas invariants; modular forms
0
Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. multilinear symmetric polynomials; characteristic \(p\); symmetric product; Chow variety; zero cycles; Hilbert scheme Neeman, A.: Zero cycles in pn. Adv. in math. 89, 217-227 (1991)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; stable point; moduli space of stable curves Gieseker, D.: Geometric invariant theory and applications to moduli problems. In: Invariant Theory. Proceedings of the 1st 1982 Session of the Centro Internazionale Matematico Estivo (CIME), Montecatini, June 10--18, 1982. Lecture Notes in Mathematics, vol. 996, pages v+159. Springer, Berlin (1983)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. semiversal deformation of surface singularity; miniversal deformation of a triangle singularity; Fuchsian singularities; moduli space for a K3 surface; negative smoothing component E. Looijenga, ''The smoothing components of a triangle singularity. II,'' Math. Ann., vol. 269, iss. 3, pp. 357-387, 1984.
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. 3-manifold; surface singularity; lens space Weber, C.: Lens spaces among 3-manifolds and quotient surface singularities. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM (2018) \textbf{(to appear)}
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. arithmetically Gorenstein scheme; intersection of schemes; graded Betti numbers; Hilbert functions Ragusa, A.; Zappalà, G., Properties of 3-codimensional Gorenstein schemes, Comm. Algebra, 29, 1, 303-318, (2001)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. triangles; Hilbert scheme; point triplets Lebarz, P.: La variété des triplets complets. Duke math. J. 57, 925-946 (1988)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. \(K3\) surface; Kummer quartic; minimal resolution of singularities; singular plane Naruki I. (1991). On metamorphosis of Kummer surfaces. Hokkaido Math. J. 20(2): 407--415
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme; singular cohomology; perverse sheaves; Kummer varieties Göttsche, L.; Soergel, W., Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces, Math. Ann., 296, 235-245, (1993)
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. cyclic quotient singularity; continued fraction; Dedekind sum; toric geometry
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Hilbert scheme; resolution; quotient surface singularity Kidoh, R., Hilbert schemes and cyclic quotient surface singularities, Hokkaido Math. J. 30 (2001), 91--103. Hilbert scheme
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