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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of curve singularities; positive characteristic; saturation Campillo, A.: Arithmetical aspects of saturation of singularities. Pol. Acad. Publ. 20, 121-137 (1988)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements differential field; Picard-Vessiot extension; Galois theory of linear differential equations DOI: 10.2307/2374541
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Jacobian of Klein quartic; complex root system Bennama H., Application aux points de Weierstrass (1996)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; \(d\)-gonal curve; rational normal scroll; scrollar invariants; bielliptic curves; Castelnuovo curves Del Centina A., Gimigliano A.: Scrollar invariants and resolutions of certain d-gonal curves. Ann. Univ. Ferrara Sez. VII Sc. Mat. XXXIX, 187--201 (1993)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements infinitesimal Schur algebras; quantum Schur algebras; blocks; polynomial representations; Frobenius kernels; general linear groups; monoids of matrices; monoid schemes; rational representations Cox A.G.: On the blocks of the infinitesimal Schur algebras. Quart. J. Math 51, 39--56 (2000)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements closed subgroups of linear algebraic reductive group
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements poles of Igusa's local zeta function; resolution of singularities Veys, W.: On the poles of Igusa's local zeta function for curves. J. Lond. Math. Soc. 41, 27--32 (1990)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic stacks; toroidal geometry; logarithmic schemes; birational geometry; resolution of singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebroid varieties; transversality; resolution of singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semigroup of integral points; convex body; graded algebra; Hilbert function; Hodge index theory; mixed volume; Alexandrov-Fenchel inequality; Bernstein-Kushnirenko theorem; Cartier divisor; linear series Kaveh, K. and Khovanskii, A., Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, \textit{Ann. of Math. (2)}176 ( 2012), no. 2, 925- 978.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quantum special linear groups; quantum matrix bialgebras; rings of quantum coinvariants; quantum Grassmannians; presentations; quantum Schubert varieties; coactions R. Fioresi and C. Hacon, Quantum coinvariant theory for the quantum special linear group and quantum Schubert varieties. J. Algebra 242 (2001), 433-446.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements hyperplane sections of surfaces; linear series; adjunction map
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements elliptic curve; Galois representation; Kolyvagin's Euler system of Heegner points; modular curve William A. Stein, There are genus one curves over \Bbb Q of every odd index, J. Reine Angew. Math. 547 (2002), 139 -- 147.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Manin's conjecture; rational points; bounded height; tri-linear form; tri-projective space; circle method; asymptotic formula; geometry of numbers Mignot, T, Points de hauteur bornée sur LES hypersurfaces lisses de l'espace triprojectif, Int. J. Number Theory, 11, 945-995, (2015)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements integral points on algebraic curves; rational point; Jacobian; linear form of logarithms; Mordell-Weil group; height Hirata-Kohno N. , Une relation entre les points entiers sur une courbe algébrique et les points rationnels de la jacobienne , in: Advances in Number Theory , Kingston, ON, 1991 , Oxford University Press , New York , 1993 , pp. 421 - 433 . MR 1368438 | Zbl 0805.14009
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements discriminantly separable polynomials; integrable quad-equations; pencils of conics; Möbius transformations; two-valued groups Dragović, V. and Kukić, K., Discriminantly Separable Polynomials and Quad-Graphs, arXiv:1303.6534v1 (26 Mar 2013).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Convergent power series rings; Artin approximation theory; excellent rings; Weierstrass system of \(k\)-algebras
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; equisingularity Orlando Villamayor U., On equiresolution and a question of Zariski, Acta Math. 185 (2000), no. 1, 123 -- 159.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semisimple algebraic groups; products of root elements; spinor groups
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; valuation; ramification; affine geometry
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements local Hilbert's 16th problem; Nash space of arcs; planar quadratic vector fields; essential perturbation
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements codimension 2 Buchsbaum variety; linear space sections; Castelnuovo type of vanishing theorem Giorgio Bolondi and Rosa M. Miró-Roig, Two-codimensional Buchsbaum subschemes of \?\(^{n}\) via their hyperplane sections, Comm. Algebra 17 (1989), no. 8, 1989 -- 2016.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements adjoint linear system; Fujita's conjecture; positive characteristic
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of the general linear group on flags; action of the symplectic group; orbits
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements automorphisms of algebraic curve; linear systems González, V.; Rodríguez, R.: On automorphisms of curves and linear series, Aportaciones mat. Notas investigación 5, 101-105 (1992)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; uniformization; desingularization; non-algebraically closed field V. Cossart, Uniformisation et désingularisation des surfaces d'apr` es Zariski, in Res- olution of singularities (Obergurgl, 1997), 239-258, Progr. Math., 181, Birkhäuser, Basel.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements discriminant quadratic form; weakly distinguished basis; Milnor lattices of hypersurface singularities; Dynkin diagrams; elliptic hypersurface singularities; action of the braid group; bimodular singularities W. Ebeling, ''Milnor Lattices and Geometric Bases of Some Special Singularities,'' in Noeuds, tresses et singularit és, Ed. by C. Weber (Enseign. Math. Univ. Genève, Genève, 1983), Monogr. Enseign. Math. 31, pp. 129--146; Enseign. Math. 29, 263--280 (1983).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements number of rational points; algebraic curves over finite fields; quadratic forms over finite fields Wolfmann J.: The number of points on certain algebraic curves over finite fields. Commun. Algebra \textbf{17}, 2055-2060 (1989).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements etale Galois coverings; normalization; cohomology; Artin-Schreier coverings; Gorenstein scheme; minimal resolution of singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear systems; embedding theorem; Cohen-Macaulay curves; pluricanonical maps of surfaces of general type Kollár, J.: Moduli of varieties of general type. In: Farkas, G., Morrison, I. (eds.) Handbook of Moduli: Volume II. Advanced Lectures in Mathematics, vol.~24, pp. 131-158. International Press (2012). arXiv:1008.0621
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Castelnuovo surface fiber; semi-stable degenerations; resolution of singularities Ashikaga, T.; Konno, K., Examples of degenerations of Castelnuovo surfaces, J. Math. Soc. Japan, 43, 229-246, (1991)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic form; function field of a quadratic form; \(u\)-invariant; quadratic forms with maximal splitting; torsion of Chow groups of quadrics; unramified cohomology of quadrics Izhboldin, O. T., Fields of \(u\)-invariant 9, Ann. of Math., 154, 529-587, (2001)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements generators; ideals; semialgebraic sets; closures of ideals; semialgebraic differential operator; real radical; polynomial system; algorithms
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert function; points in \(\mathbb{P}^3\); irreducible surface; number of generators of the ideal of distinct points; resolution of points; surfaces of low degree Guardo E., Parisi O.,Maximum number of generators of an ideal of points on an irreducible surface of lows degree, Le Matematiche,50 (1995), 137--162.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements affine varieties; plane curves; projective varieties; morphisms; resolution of singularities; Riemann-Roch theorem Fulton, William, Algebraic curves. {A}n introduction to algebraic geometry, (2008)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements configurations of linear subspaces, differential algebra DOI: 10.2140/pjm.2001.198.501
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Frobenius structure; differential operator; free modules of finite rank over the ring of analytic elements in annulus; differential polynomial; generic radius of convergence; Frobenius antecedent Christol, G.; Dwork, B., Modules différentiels sur des couronnes, Ann. Inst. Fourier (Grenoble), 44, 3, 663-701, (1994), MR MR1303881 (96f:12008)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Frobenius; singularities; F-purity; system of parameters
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements complete intersection; periodicity of minimal free resolution; regular local ring; matrix factorization D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980), no. 1, 35-64.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements determinantal conditions; resolution of ideal; linkage; residual intersection; Koszul complex; complete intersection Bruns, W.; Kustin, A. R.; Miller, M., The resolution of the generic residual intersection of a complete intersection, J. Algebra, 128, 214-239, (1990)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Newton polyhedra; isolated complete intersection singularity; resolution of singularities; toroidal embeddings Morales, M., Polyèdre de Newton et genre géométrique d'une singularité intersection complète, Bull. Soc. Math. France, 112, 325-341, (1984)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements noetherian ring; height one prime ideal; resolution of singularities; rational singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements retract neighborhood; subspaces with singularities; semialgebraic neighborhood; Nash map; resolution of singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; toroidal variety; polyhedral
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements fundamental theorem of algebra; Puisseux series; linking number of knots; discrete mathematics; operads; resolution of curve singularities; complex singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Morita equivalence; Picard group; biisomorphism classes R-bimodules; equivalence of categories; category of left R-modules; natural transformations; self-duality Kraemer, J.: (Self)-duality and the Picard group. Comm. alg. 16, 2283-2311 (1988)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements singular space curves; adjoint ideals; effective divisor; normalization; linear system Chiarli, N.: Completeness and non-speciality of linear series on space curves and deficiency of the corresponding linear series on normalization. Queen's papers in pure and applied mathematics 67 (1984)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements monad of a curve; resolution of the normalized coordinate ring; degree; low genus; smoothing Walter, CH, Curves in \(\mathbb{P}^r\) with the expected monad, J. Algebr. Geom., 4, 301-320, (1995)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements irregularity; divisor; cyclic coverings; resolution of singularity; vanishing of first cohomology Vaquié, Michel, Irrégularité des revêtements cycliques des surfaces projectives non singulières, Amer. J. math., 114, 6, 1187-1199, (1992), MR 1198299 (94d:14015)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements curve on a \(K3\) surface; curves of high genus; Brill-Noether-Petri condition; linear series; surjectivity of the Wahl map Voisin, C. : '' Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri '', Acta Math. 168 (1992) 249-272.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements concept of mapping; A. F. Möbius; F. Klein; geometric transformations; collineation; L. Euler Struve, H. (1985). Zur Geschichte des Abbildungsbegriffs. Mathematische Semesterberichte 32, 181--194.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements dimension types; indecomposables of arbitrary quivers; finite representation type; extended Dynkin diagram; indecomposable representations; positive roots; Tits form; tame; Kac's theorem; affine varieties; orbits; simple roots; reflections; Dynkin quiver; root system H. Kraft and Ch. Riedtmann, Geometry of representations of quivers, Representations of algebras (Durham, 1985) London Math. Soc. Lecture Note Ser., vol. 116, Cambridge Univ. Press, Cambridge, 1986, pp. 109 -- 145.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic function fields; constructions of linear codes; algebraic curves; algebraic-geometric codes; Goppa codes Ferruh Özbudak and Henning Stichtenoth, Constructing codes from algebraic curves, IEEE Trans. Inform. Theory 45 (1999), no. 7, 2502 -- 2505.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Goppa codes; divisors of curves; Riemann-Roch theorem; linear codes Michon, J. F.: Codes de goppa. Sem. th. Nombres Bordeaux 7 (1983--1984)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fourier transformations; majoration of exponential sums Katz, N. M.; Laumon, G., Transformation de Fourier et majoration de sommes exponentielles, Inst. Hautes Études Sci. Publ. Math., Inst. Hautes Études Sci. Publ. Math., 69, 233-418, (1989), (in French); see also Erratum: ''The Fourier transform and upper bounds for exponential sums''
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; projective line; linear equations; algebraic coherent sheaves; equivalent objects; Martin-Hermann theorem; Brunovsky theorem Lomadze, V.: Linear systems and coherent sheaves. Bull. acad. Sci. georgian SSR 126, N 1 (1987)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements lattice of linear subspaces; intrinsic volume; extremal combinatorics; Grassmannian; invariant measure; analogue of Sperner's theorem [4] Klain D. A., Rota G.-C., ''A continuous analogue of Sperner's theorem'', Comm. Pure Appl. Math., 50 (1997), 205--223
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Picard group; Picard number; real algebraic surface; homology; algebraic cycles; resolution of singularities Frédéric Mangolte, Une surface réelle de degré 5 dont l'homologie est entièrement engendrée par des cycles algébriques, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), no. 4, 343 -- 346 (French, with English and French summaries).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; alterations
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements smooth Hasse principle; weak approximation; intersections of two quadrics; quadratic forms Salberger ( P. ) . - On the arithmetic of certain intersections of two quadrics , J. für die reine und angew. Math. ( Crelle ) 394 ( 1989 ), pp. 159 - 167 . Article | MR 977438 | Zbl 0672.14027
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Gieseker's lemma; linear system
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements regular system of weights; simple Lie algebras; elliptic Lie algebras; homotopy category of matrix factorizations; vanishing cycles; \(*\)-duality Saito, K.: Towards a categorical construction of Lie algebras, Adv. stud. Pure math. 50, 101-175 (2008)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(K3\) surfaces; variation of curves; Hitchin system; Mukai system; tangent bundle; stability
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements geometry of divisor; three-dimensional Brieskorn singularity; torus resolution; K3-surface; rational surface M. OKA, On the resolution of hypersurfaces singularities, Adv. Studies in Pure Math. 8 (1986), 405-^36 Zentralblatt MATH:
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rationality of algebraic threefold; conic bundle; Cremona transformations; congruence of conics V. A. Iskovskikh, Congruences of conics in \({\mathbf P}^{3}\) , Vestnik Moskov. Univ. Ser. I Mat. Mekh. 37 (1982), no. 6, 57-62, Moscow Univ. Math. Bulletin 37, No. 6 (1982), 67-73.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rationality of the zeta function; Lefschetz trace formula; resolution of singularities R. Pink, On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne, Ann. of Math., 135 (1992), 483--525.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear free resolution; fold products; star configuration; symbolic power
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements minimal free resolution of a canonically embedded curve; surface of general type; syzygies; fibration of curves; slope; Horikawa index; Clifford index K. Konno, Clifford index and the slope of fibered surfaces, J. Algebraic Geom. 8 (1999), no. 2, 207-220.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements simple integrable modules; double affine Hecke algebras; perverse sheaves; linear algebraic groups; Lie algebras; Cartan subalgebras; Borel subalgebras; root systems; affine Weyl groups; simple reflections; pairings; equivariant \(K\)-theory; Jordan-Hölder multiplicities of induced modules Vasserot, Eric, Induced and simple modules of double affine Hecke algebras, Duke Math. J., 126, 2, 251-323, (2005)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements 1-Weierstrass points; \(q\)-gap sequence; flexes; sextactic points; tentactic points; canonical linear system; Kuribayashi sextic curve
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements few rational points of Shimura curve; imaginary quadratic number field; quaternionic multiplication; QM-abelian surfaces; potential good reduction B. Jordan,Points on Shimura curves rational over number fields, Journal für die reine und angewandte Mathematik371 (1986), 92--114.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements symplectic matrices; Gauss sums; Jacobi symbols; theta transformation formulas; theta functions; algebraic number fields; odd dimensional quadratic forms
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements nonholonomic system; Abel quadrature; arithmetic of divisors Tsiganov, A.V., Integrable discretization and deformation of the nonholonomic Chaplygin ball, Regul. chaotic dyn., 22, 4, 353-367, (2017)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements concealed-canonical algebras; separating exact subcategories; components of Auslander-Reiten quivers; quadratic forms; Artin algebras; tame hereditary algebras Lenzing, H.; de la Peña, J. A., Concealed-canonical algebras and separating tubular families, Proc. Lond. Math. Soc., 78, 513-540, (1999)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements characteristic \(p\); Bogomolov inequality; Chern numbers; vanishing theorem; adjoint linear systems; surfaces of general type Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements self-dual; Yang-Mills connection; ADHM; special instanton; moduli space of instanton bundles; homogeneous vector bundle; equivariant resolution; stable vector bundle Faenzi, D., Homogeneous instanton bundles on \({\mathbb{P}^3}\) for the action of SL(2), J. Geom. Phys., 57, 2146-2157, (2007)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements homotopy theory; motives; quadratic forms; homtopy groups of spheres
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; toric variety; toric morphism; transversality Tevelev, J.: On a question of B. Teissier. Collect. math. 65, No. 1, 61-66 (2014)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements positive semidefinite elements; sums of squares; real spectrum; singularities; excellent henselian ring; dimension 2; completion
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Castelnuovo-Mumford regularity; generalized Cohen-Macaulay modules; standard system of parameters; Buchsbaum ring Hoa, Lê Tuân; Miyazaki, Chikashi, Bounds on Castelnuovo--Mumford regularity for generalized Cohen--Macaulay graded rings, Math. Ann., 301, 3, 587-598, (1995)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements symplectic manifold; Poisson bracket; singularities; resolution of singularities Kaledin, D., \textit{symplectic singularities from the Poisson point of view}, J. reine angew. Math., 600, 135-156, (2006)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements automorphic forms; Hodge theory; arithmetic subgroup of special linear 2- group; cusps; cusp cohomology; Eisenstein series; Fourier-Eisenstein transform W. CASSELMAN , Automorphic forms and a Hodge theory for congruence subgroups of SL2(\Bbb Z) In (Lie group representations II, Vol. 1041 of Lecture Notes in Mathematics, pp. 103-140. Springer, 1984 ). MR 86f:22012 | Zbl 0534.32014
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements determinantal variety; classification of Cremona transformations; systems of quadrics through Severi varieties; quintic elliptic scroll Ein L. and Shepherd-Barron N., Some special Cremona transformations, Amer. J. Math. 111 (1989), 783-800.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equisingular strata; families of curves [Sh4] Shustin, E.: Geometry of equisingular families of plane algebraic curves. J. Algebr. Geom.5, 209--234 (1996).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cremona group; group of birational automorphisms of a quadric; system of defining relations Iskovskikh, Proof of a theorem on relations in a two-dimensional Cremona group, Uspekhi Mat. Nauk 40 pp 255-- (1985)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Dynkin graphs; minimal resolution of a normal quartic surface; classification of singularities of plane sextics; classification of singular quartic surfaces Urabe, T.: Singularities in a certain class of quartic surfaces and sextic curves and Dynkin graphs. Proc. 1984 Vancouver Conf. Alg. Geom., CMS Conf. Proc.6, 477-497 (1986)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements generalized Riemann hypothesis for imaginary quadratic fields; point of complex multiplication B. Edixhoven, Special points on the product of two modular curves, Compos. Math. 114 (1998), no. 3, 315-328.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements moduli spaces of linear control systems; piecewise continuous forms
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements preordering; quadratic module; moment problem; Borel measure; linear functional M. Marshall, \textit{Approximating positive polynomials using sums of squares}, Canad. Math. Bull., 46 (2003), pp. 400--418.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements limit linear series; higher Picard group; higher Jacobian; complex curve; isomorphism classes of line bundles of degree \(d\); Albanese variety; moduli space of pointed curves Ciro Ciliberto, Joe Harris, and Montserrat Teixidor i Bigas, On the endomorphisms of \?\?\?(\?\textonesuperior _{\?}(\?)) when \?=1 and \? has general moduli, Classification of irregular varieties (Trento, 1990) Lecture Notes in Math., vol. 1515, Springer, Berlin, 1992, pp. 41 -- 67.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Resolution of singularities; symplectic manifold; derived category; Poisson structure; quantized algebra; Frobenius endomorphism D. Kaledin, ''Derived equivalences by quantization,'' Geom. Funct. Anal., vol. 17, iss. 6, pp. 1968-2004, 2008.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements deformation; exceptional divisor; \(D_ n\); \(E_ n\); 3-dimensional singularities; vanishing theorems; local moduli of the exceptional loci; canonical resolution; \(A_ n\)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements finite field; family of varieties; monodromy; quadratic excess; genus-\(g\)-curves; degree-\(d\) hypersurfaces; geometric monodromy group; Frobenius-Schur indicator; family of higher-dimensional varieties; Deligne equidistribution theorem Katz, N.: Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. Finite Fields Appl. \textbf{7}(1), 45-69 (2001). (Dedicated to Professor Chao Ko on the occasion of his 90th birthday)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements abelian variety; compatible system of semistable Galois representations; Weil-Deligne group; \((\varphi; N)\)-module
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Deligne conjecture; lisse sheaf; \(\ell\)-adic representation; independence of \(\ell\); Langlands conjecture; local system; arithmetic scheme; Hilbert irreducibility; weakly motivic Drinfeld, V., On a conjecture of Deligne, Moscow Math. J., 12, 515-542, (2012)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements total positivity; varieties of Borel subgroups; reductive linear algebraic groups; Weyl groups; flag varieties; real algebraic morphisms K. Rietsch, An algebraic cell decomposition of the nonnegative part of a ag variety, J. Algebra 213 (1999), 144--154.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements embedded Nash problem; resolution of singularities; toric geometry
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano-Mori fibre space; Fano variety; maximal singularity; birational map; linear system
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements thick points; homogeneous quadratic forms; nets of quadrics; one parameter family of singularities; versal deformation
| 0 |
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