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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)
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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
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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)
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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. Fe...
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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...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements closed subgroups of linear algebraic reductive group
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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)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic stacks; toroidal geometry; logarithmic schemes; birational geometry; resolution of singularities
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebroid varieties; transversality; resolution of singularities
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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 Khovan...
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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...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements hyperplane sections of surfaces; linear series; adjunction map
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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.
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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 ...
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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 ...
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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:1303.6534v...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Convergent power series rings; Artin approximation theory; excellent rings; Weierstrass system of \(k\)-algebras
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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.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semisimple algebraic groups; products of root elements; spinor groups
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; valuation; ramification; affine geometry
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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
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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. A...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements adjoint linear system; Fujita's conjecture; positive characteristic
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of the general linear group on flags; action of the symplectic group; orbits
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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)
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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...
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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, ''M...
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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 (198...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements etale Galois coverings; normalization; cohomology; Artin-Schreier coverings; Gorenstein scheme; minimal resolution of singularities
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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. Ad...
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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)
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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...
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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
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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 id...
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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)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements configurations of linear subspaces, differential algebra DOI: 10.2140/pjm.2001.198.501
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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., Mod...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Frobenius; singularities; F-purity; system of parameters
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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. ...
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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 int...
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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. Fr...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements noetherian ring; height one prime ideal; resolution of singularities; rational singularities
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements retract neighborhood; subspaces with singularities; semialgebraic neighborhood; Nash map; resolution of singularities
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; toroidal variety; polyhedral
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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
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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; Mani...
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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. 1...
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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 normal...
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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)
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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-...
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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-Pet...
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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.
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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 roo...
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 ...
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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)
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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., 6...
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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,...
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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 Ap...
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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 algébriq...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; alterations
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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 ( ...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Gieseker's lemma; linear system
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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. Pur...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(K3\) surfaces; variation of curves; Hitchin system; Mukai system; tangent bundle; stability
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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...
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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...
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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...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear free resolution; fold products; star configuration; symbolic power
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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 ...
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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; equivar...
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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
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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 d...
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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
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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)
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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...
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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 ...
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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}...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements homotopy theory; motives; quadratic forms; homtopy groups of spheres
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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)
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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
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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 gr...
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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)
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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 subg...
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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 ...
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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).
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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)
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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...
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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.
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements moduli spaces of linear control systems; piecewise continuous forms
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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.
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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 Teixi...
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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. ...
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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; \(A_ n\)
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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 equidistri...
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements abelian variety; compatible system of semistable Galois representations; Weil-Deligne group; \((\varphi; N)\)-module
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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,...
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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....
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements embedded Nash problem; resolution of singularities; toric geometry
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano-Mori fibre space; Fano variety; maximal singularity; birational map; linear system
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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
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