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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements explicit formulas; Fubini-study height of quadrics; Igusa's zeta functions Dan, N.: La hauteur des quadriques. C. R. Acad. sci. Paris sér. I math. 324, 1323-1326 (1997)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Buchsbaum ring; system of parameters; local cohomology groups; unconditioned strong d-sequence Yamagishi, H.: Phys. rev. D. 27, 2383 (1983)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements very special linear system Coppens M., Kato T.: Non-trivial linear systems on smooth plane curves. Math. Nachr. 166, 71--82 (1994)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; local uniformization; ramification; principalization; Galois approximation V.COSSARTand O.PILTANT,\textit{Resolution of singularities of threefolds in positive characteristic I}: \textit{Reduction to local uniformization on Artin-Schreier and purely inseparable coverings}, J. Algebra 320 (2008), no. 3, 1051--1082. http://dx.doi.org/10.1016/j.jalgebra.2008.03.032.MR2427629
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements lemniscatic sine function; lattice of periods; Riemann surface of genus \(1\); angle addition formulas for lemniscatic functions; constructible number; Abel's result Joel Langer and David Singer, The lemniscatic chessboard, Forum Geometricorum, Vol. 11 (2011), 183--199.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Betti numbers of a graded module; pure resolution; Multiplicity Conjecture; simplicial fan; sheaf with natural cohomology Eisenbud, D.; Schreyer, D., Betti numbers of graded modules and cohomology of vector bundles, \textit{J. Amer. Math. Soc.}, 22, 3, 859-888, (2009)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements adjoint linear system on a smooth complex threefold
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements multiplicity; ideal; set-theoretic complete intersection; height; system of parameters SOLČAN Š.: Zur mengentheoretische Darstellung gewisser Primideale. Math. Slovaca, 35, 1985, 199-210.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Schubert variety; cohomology of line bundles; semisimple algebraic group; root system Paramasamy, K.: Cohomology of line bundles on Schubert varieties: the rank two case, Proc. indian acad. Sci. 114, No. 4, 345-363 (2004)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Resolution of curve singularities. Class numbers of curves
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements embedding dimension; affine variety; finite system of generators [Sri91] V. Srinivas, \textit{On the embedding dimension of an affine variety}, Math. Ann. \textbf{289} (1991), no. 1, 125-132.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Theorems of Mansion and Smith; determinant; function of the diagonals; product; divisors; line; proof of a corollary; principle of addition of rows; elements above the principal diagonal
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements postulation; arithmetically Cohen-Macaulay 0-dimensional subschemes of a smooth quadric; linear systems of divisors; Hilbert function Giuffrida, S; Maggioni, R; Ragusa, A, On the postulation of \(0\)-dimensional subschemes on a smooth quadric, Pac. J. Math., 155, 251-282, (1992)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements normal Gorenstein singularity; cobordism invariants; cobordism group of stably framed 3-manifolds; e-invariant; resolution of singularities; complex analytic surface; Milnor number
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements terminal singularity; deformation of the surface singularities; minimal model; weak simultaneous resolution; quotient singularity; singularities of class T; moduli space Kollár, J.; Shepherd-Barron, NI, Threefolds and deformations of surface singularities, Invent. Math., 91, 299-338, (1988)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Kähler group; fundamental group of a compact Kähler manifold; Mal'cev completion; quadratic presentations; three-step nilpotent Lie algebras; abelianization; nilpotent fundamental group; characteristic subspace James A. Carlson & Domingo Toledo, ``Quadratic presentations and nilpotent Kähler groups'', J. Geom. Anal.5 (1995) no. 3, p. 351-359, erratum in \(ibid.\)7 (1997), no. 3, p. 511-514
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(k\)-gonal curve; Clifford sequence; linear series; primitive length; Clifford lengths of curves; Brill-Noether theory Marc Coppens, Changho Keem, and Gerriet Martens, The primitive length of a general \?-gonal curve, Indag. Math. (N.S.) 5 (1994), no. 2, 145 -- 159.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of determinantal ideals
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polynomial rings; covariants; polynomial representations; invariant theory; representation theory of linear groups Green, J. A.: Classical invariants and the general linear group. Progr. math. 95, 247-272 (1991)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements number of tangent hyperplanes; Betti numbers; linear sections; threefold A. Lanteri and C. Turrini, Projective threefolds of small class, Abh. Math. Sem. Univ. Hamburg 57 (1987), 103--117.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements prehomogeneous vector spaces of parabolic type; root system; orbits Muller, I.: Structure and orbits of certain prehomogeneous vector spaces related with orthogonal roots. Proc. Japan acad. Sér. A. 72, 104-107 (1996)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements general linear group; block diagonal subgroup; adjoint representation; Lie group; Lie algebra; coadjoint representation; symmetric algebra; polynomial functions; algebra of invariants; generators; generalized Casimir invariant differential operators DOI: 10.1016/0021-8693(92)90184-N
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements General surface family of \(2^nd\) degree; orthogonal system; algebraic; concentric; rectangular; equation; parameter; O.D.E.; elimination resultant; Darboux; class of curves; cyclic; confocal
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Newton-Okounkov body; valuative tree; valuation; linear system; algebraic geometry Ciliberto, Ciro; Farnik, Michal; Küronya, Alex; Lozovanu, Victor; Roé, Joaquim; Shramov, Constantin, Newton--Okounkov bodies sprouting on the valuative tree, Rend. Circ. Mat. Palermo (2), 66, 2, 161-194, (2017)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements small resolution of Gorenstein threefold singularity Katz-D, S.: Morrison, Gorenstein threefold singularities with small resolutions. J. Algebraic Geom. 1, 449--530 (1992)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements invariant theory; modular group; Weyl group; root system; toroidal embedding; Jacobi forms; polynomial algebra; deformation of fat points Wirthmüller, K., Root systems and Jacobi forms, Comp. Math., 82, 293, (1992)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of determinantal ideal Boffi, G.; Sánchez, R.: Some classical formulas and a determinantal ideal. Seminari di geometria (1989)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; blowup Herwig Hauser, Seven short stories on blowups and resolutions, Proceedings of Gökova Geometry-Topology Conference 2005, Gökova Geometry/Topology Conference (GGT), Gökova, 2006, pp. 1 -- 48.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements mixed Hodge structures; equisingular family; variation; variation of mixed Hodge structure; infinitesimal period map S. Tsuboi: Cubic hyper-equisingular families of complex projective varieties. I. Proc. Japan Acad., 71A, 207-209 (1995).
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements orbits; algebras of invariants; linear representations A. G. Nurmiev, Orbits and invariants of third-order matrices, Mat. Sb. 191 (2000), no. 5, 101 -- 108 (Russian, with Russian summary); English transl., Sb. Math. 191 (2000), no. 5-6, 717 -- 724.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Toda equation; Higgs system; variation of Hodge structure; Riemann surface Aldrovandi, E; Falqui, G, Geometry of Higgs and Toda fields on Riemann surfaces, J. Geom. Phys., 17, 25-48, (1995)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algorithmic resolution; centers of blowup; resolution datum; embedded resolution Encinas, S. and Hauser, H.: Strong resolution of singularities in characteristic zero. Comment. Math. Helv. 77 (2002), no. 4, 821-845.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements finite local fundamental groups; quotient variety; divisor class groups; action of linear group Kumar, S., Finiteness of local fundamental groups for quotients of affine varieties under reductive groups, Comment. Math. Helv., 68, 209-215, (1993)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rational base points; linear pencil of plane curves
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; uniformization
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Bibliography; Zariski-Lipman problem. Kersken, Masumi; differential algebras; De Rham cohomology; regularity of an analytic local algebra; resolution of singularities; Rational singularities; mixed Hodge structures M. Kersken, Differentialformen in der algebraischen und analytischen Geometrie. Habilitationsschrift, Bochum 1987.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic form; excellent ring; henselization; ring of analytic functions; semi-algebraic subset; semianalytic sets; constructible subsets of real spectra; real spaces; spaces of signs; spaces of orderings; fan Andradas, C.; Bröcker, L.; Ruiz, J.-M., \textit{Constructible Sets in Real Geometry}, 33, (1996), Springer-Verlag, Berlin
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements sheaves of monoids; resolution of singularities; Jungian domain; toric singularity; toroidal embeddings 22. Kato, Kazuya Toric singularities \textit{Amer. J. Math.}116 (1994) 1073--1099 Math Reviews MR1296725
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic points; Tarski system; algebraic nonsingular points; definable set; o-minimal structure; analytic cell decomposition; semialgebraic points; degree of complexity
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements nets of quadrics; linear spaces of symmetric matrices; ML-degrees; Veronese surface
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements abundance; semiampleness; base points; linear system; Shokurov Ambro, F., A semiampleness criterion, J. Math. Sci. Univ. Tokyo, 12, 445-466, (2005)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements elliptic modular group; Picard modular group; imaginary quadratic field; K-singular moduli; Hilbert modular group; jacobian; class-numbers of CM-extension Feustel, J, Eine klassenzahlformel für singuläre moduln der picardschen modulgruppen, Comp. Math, 76, 87-100, (1990)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements p-adic cohomology; linear differential equation of order 3; p-adic differential equations; hypergeometric function; differential module; symplectic structure; p-adic radius of convergence; Frobenius structure; integral formula F. BALDASSARRI - Cohomologie p-adique pour la fonction 3F2(a,b1,b2c1,c2 ; \lambda ) , Astérisque, 119-120 ( 1984 ), 51-110. Zbl 0545.12013
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear programming; central path; continuous analogue of Hirsch conjecture; tropical geometry Allamigeon, X.; Benchimol, P.; Gaubert, S.; Joswig, M., Log-barrier interior point methods are not strongly polynomial, SIAM J. Appl. Algebra Geom., 2, 1, 140-178, (2018)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements zeta function; Weil system; asymptotically exact family of curves; reciprocal roots of the zeta function; asymptotic Weil measure; asymptotic class number Tsfasman, M. A.; Vlăduţ, S. G., Asymptotic properties of zeta-functions, J. Math. Sci. (N. Y.), 84, 5, 1445-1467, (1997)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements abelian varieties; Selmer groups; geometry of numbers; rational points; quadratic twists
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements arithmetic genus of singularity; normal two-dimensional singularity; resolution Tomari, M., A geometric characterization of normal two-dimensional singularities of multiplicity two with pa^ 1, Publ. R. J. M. S. Kyoto Univ., 20 (1984), 1-20.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements completion of a complex space; Cohen-Macaulay space; analytic spectrum; dualizing sheaf; flat map; holomorphic linear space; conormal sheaf Th. Peternell and R. Remmert, Differential calculus, holomorphic maps and linear structures on complex spaces, Several complex variables, VII, Encyclopaedia Math. Sci., vol. 74, Springer, Berlin, 1994, pp. 97-144.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equivalence classes of bivariate quadratic surfaces in affine \(n\)-space Peter, J; Reif, U, The 42 equivalence classes of quadratic surfaces in affine \(n\)-space, Comput Aided Geom Des, 15, 459-473, (1998)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements bi-graded structures; duality; elimination theory; generalized zero of a matrix; generator degrees; Hilbert-Burch matrix; infinitely near singularities; Koszul complex; local cohomology; linkage; matrices of linear forms; Morley forms; parametrization; rational plane curve; rational plane sextic; Rees algebra; Sylvester form; symmetric algebra 10.1016/j.jalgebra.2016.08.014
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements model categories; deformation theory; deformation problem; differential graded algebras; differential graded Lie algebra; Maurer-Cartan equations; Maurer-Cartan modulus gauge action; Maurer-Cartan elements; Tate-Quillen resolution; Palamodov resolvent; Tate-Quillen resolution; cofibrant replacement; projective model structure
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; positive characteristic; differential operators; Rees algebras; monomial ideals. Benito, Angélica; Villamayor U., Orlando E., Monoidal transforms and invariants of singularities in positive characteristic, Compos. Math., 149, 8, 1267-1311, (2013)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements classifying surfaces having a hyperelliptic hyperplane section; adjoint linear system
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities, hypersurfaces; complex analytic spaces; infinitely near singularities; modifications; horizontal morphisms, vertical morphisms, cone-fibered spaces, blow-ups, blowing cones, normal cones; tangent cones; Weierstrass preparation theorem; normal flatness; maximal contact; idealistic exponents; characteristic cones; continuity of maximal contact; contact stability theorems; trees; forests; groves; polygroves; soil; gardens; allées; normal crossings; Samuel stratification; complex analytic foliations; valuations; Newton polygon; Thom's conjecture
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements comprehensive standard system; \(\kappa\)-invariant; local Euler obstruction; deformation of an isolated hypersurface singularity; Hilbert-Samuel multiplicity
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements exceptional Lie group; moduli space over compact Riemann surface; compactification of level set of integrable system; Prym variety; Jacobian variety; completely integrable system Katzarkov, L.; Pantev, T., Stable \(G_2\) bundles and algebraically completely integrable systems, Compos. math., 92, 43-60, (1994)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic transformation groups; classification; convex geometry; geometry of algebraic groups; invariant theory; linear algebraic semigroups; linear algebraic monoids; linear semigroups; monoids of Lie type; normal algebraic monoids; Putcha lattices of cross-sections; reductive monoids; regular semigroups; Renner monoids; representation theory; spherical embeddings; strongly \(\pi\)-regular semigroups; Tits systems; torus embeddings Renner, L. E.: Linear algebraic monoids, Encyclopædia math. Sci. 134 (2005)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements ADE bundle; ADE singularity; singularities of surfaces; simple Lie algebra; Lie algebra bundle; minimal resolution of an ADE singularity Chen, YX; Leung, NC, ADE bundles over surfaces with ADE singularities, Int. Math. Res. Not., 15, 4049-4084, (2014)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Newton polyhedra; resolution of singularities; two-player game
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements system of equations; coordinate semigroups; universal algebraic geometry
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements real polynomial mapping; topological degree; signature of a quadratic form; real algebraic varieties Szafraniec, Z.: Topological degree and quadratic forms. J. pure appl. Algebra 141, No. 3, 299-314 (1999)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Gröbner bases; syzygies; resolution of singularities; monodromy; Brieskorn lattice; Tate resolution; cohomology of coherent sheaves; Beilinson monads; invariant rings; binary forms; Green's conjecture; construction of canonical curves Schreyer, F.O.: Some topics in computational algebraic geometry. In: Conference Proceedings of 'Advances in Algebra and Geometry, Hyderabad 2001, pp. 263--278 (2003)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements weighted dual intersection graph of the minimal resolution of a perfect surface singularity; Diophantine questions; partial fraction representations; continued fractions; Egyptian fractions Brenton, D.; Drucker, D., Perfect graphs and complex surface singularities with perfect local fundamental group, Tohoku Math. J., 41, 507-525, (1989)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements hypersurface singularities; resolution of singularities H. Hironaka, On the presentations of resolution data, in Algebraic analysis, geome- try, and number theory (Baltimore, MD, 1988), 135-151, Johns Hopkins Univ. Press, Baltimore, MD, 1989.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements glueing polynomials; Newton polyhedron; equisingular locus; plane curves; maximal number of cusps; critical points E. Shustin, Gluing of singular and critical points. \textit{Topology}\textbf{37} (1998), 195-217. MR1480886 Zbl 0905.14008
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(d\)-dimensional linear systems of quadrics L. Degoli: Trois nouveaux théorèmes sur les systèmes linéaires de quadriques à Jacobienne identiquement nulle. Demonstratio Mathematica, Warszawa, Vol. 16)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements supersingular Fermat submotive; Fermat variety; Artin-Tate-Milne formulas; torsion of the Brauer group; Tate conjecture; cycle map; algebraic cycles; Néron-Severi groups
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hodge structures for singular varieties; variation of Hodge structure; nilpotent orbit theorem; limiting mixed Hodge structure; several variables \(SL_ 2\)-orbit theorem; nonlinear system of differential equations E. Cattani, A. Kaplan and W. Schmid. Degeneration of Hodge structures. \textit{Ann. Math}, (2)123 (1986), 457-535
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements finite fields; algebraic curves; Riemann-Roch theorem; number of rational points of an algebraic curves over a finite field; Riemann hypothesis; Hasse-Weil bound; asymptotic problems; zeta-functions and linear systems; a characterization of the Suzuki curve; maximal curves; Hermitian curve; Weierstrass points Torres F.: Algebraic curves with many points over finite fields. In: Martínez-Moro, E., Munuera, C., Ruano, D. (eds) Advances in Algebraic Geometry Codes, pp. 221--256. World Scientific Publishing Company, Singapore (2008)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements 3-fold; very ample divisor; linear system; singularities
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements local cohomology modules defined by a pair of ideals; system of ideals; depth of a pair of ideals; \((I, J)\)-Cohen-Macaulay modules
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polynomial invariants of linear groups; reductive groups; Cartan subgroups; weight multiplicity; irreducible modules; Gosset polytopes R. Howe, Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond, in \textit{The Schur Lectures} (1992) (\textit{Tel Aviv}), Israel Mathematical Conference Proceedings, Vol. 8 (Bar-Ilan University, Ramat Gan, 1995), pp. 1-182.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements operator Riccati equation; infinite dimensional Grassmannians; stabilizability of linear control systems
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quasi-homogeneous Gorenstein surface singularities; equality of the Milnor and Tyurina numbers; isolated complete intersection surface singularities; irregularity; equisingular deformations J. M. Wahl, A characterization of quasihomogeneous Gorenstein surface singularities, Compos. Math., 55 (1985), 269--288. MR799816 (87e:32013)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Lang conjecture; meet of algebraic subvariety and linear torus; linear form with algebraic coefficients; generalization of Thue-Siegel-Roth theorem; exponential diophantine equation; commutative algebraic group; finite union of subsets Laurent, M.: Exponential Diophantine equations. C. R. Acad. sci. Paris, ser. I 296, 945-947 (1983)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Bruhat-Chevalley orders; Bruhat-Renner decompositions; Cohen-Macaulay rings; conjugacy classes; finite groups of Lie type; finite monoids of Lie type; Gorenstein rings; Hecke algebras; Kazhdan-Lusztig polynomials; linear algebraic monoids; reductive groups; reductive monoids; Putcha lattices of cross-sections; Renner monoids; representation theory; shellability; Stanley-Reisner rings; Weyl groups
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of the K-theory sheaf; Quillen-type of spectral sequence; intersection theory Charles A. Weibel, A Quillen-type spectral sequence for the \?-theory of varieties with isolated singularities, \?-Theory 3 (1989), no. 3, 261 -- 270.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements octic arrangements; Calabi-Yau resolution; topological Euler number; small resolution of double solid; isolated singularities S. Cynk, Double coverings of octic arrangements with isolated singularities , Adv. Theor. Math. Phys. 3 (1999), 217-225.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements complex multiplication; elliptic curves; Hecke characters of imaginary quadratic fields
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements curve on surface; embedded resolution of singularities Y. Kawamata, Index one covers of log terminal surface singularities, J. Alg. Geom. 8 (1999), 519--527.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Gauss Manin system; Hodge filtration of the mixed Hodge structure; vanishing cohomology of an isolated singularity
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; Drinfeld's compactification; stable maps
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Langlands correspondence; \(p\)-adic Langlands program; \(p\)-adic Galois representations; locally analytic \(p\)-adic representations of \(p\)-adic general linear groups
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic curves; rational points; genus; linear codes; asymptotics; tower of curves Arnaldo Garcia, On curves over finite fields, Arithmetic, geometry and coding theory (AGCT 2003), Sémin. Congr., vol. 11, Soc. Math. France, Paris, 2005, pp. 75 -- 110 (English, with English and French summaries).
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Maple system; decomposing affine algebraic varieties of low degree; Gröbner bases Wang, D. M., Irreducible decomposition of algebraic varieties via characteristic set and Gröbner bases, Computer Aided Geometric Design, 9, 471-484, (1992)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements local Plücker formulas; curvature and metric vectors; holomorphic curves Positsel'skii, L.E.: Sov. J. Funct. Anal. and Appl.25, No. 4, 291 (1991)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic surfaces; polynomial equations; numerical methods; Schubert's problems; Schubert calculus; cohomology ring of flag varieties; Schubert triangle
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear algebraic monoids; associative multiplications; connected linear algebraic semigroups; linear algebraic groups; group of units; regular semigroups Putcha, M. S., \textit{Linear Algebraic Monoids}, Vol. 133 of \textit{London Mathematical Society Lecture Note Series}, (1988), Cambridge University Press, Cambridge
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cubic differential system; configuration of invariant straight lines; multiplicity of an invariant straight line; group action; affine invariant polynomial Guangjian, S., Jifang, S.: The n-degree differential system with \((n-1)(n+1)/2\) straight line solutions has no limit cycles. In: Proc. of Ordinary Differential Equations and Control Theory, Wuhan, pp. 216-220 (1987) \textbf{(in Chinese)}
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements log canonical threshold; multiplier ideals; ultrafilter; resolution of singularities; ACC Conjecture de Fernex, Tommaso; Mustaţă, Mircea, Limits of log canonical thresholds, Ann. Sci. Éc. Norm. Supér. (4), 42, 3, 491-515, (2009)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements birational map; Fano variety; terminal singularity; divisor; linear system Прохоров, Ю. Г., O трехмерных, Изв. РАН. Сер. матем., 79, 4, 159-174, (2015)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements representations of quivers; semi-invariants; Littlewood-Richardson rule; Klyachko cones; saturation; general linear groups; orbits; weight spaces; dimension vectors Derksen, H.; Weyman, J., Semi-invariants of quivers and saturation for Littlewood-\textit{Richardson coefficients, J. Amer. Math. Soc., 13, 467-479, (2000)}
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements swallowtail; signature of quadratic form Bobowik, J.; Szafraniec, Z.: Counting signed swallowtails of polynomial selfmaps of R3. Manuscr. math. 151, 209-221 (2016)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements McKay correspondance; cyclic two dimensional quotient singularity; Chern- classes of the vector bundles; resolution; reflexive module J. Wunram, Reflexive modules on cyclic quotient surface singularities, in \(Singularities, Representation of Algebras, and Vector Bundles\) (Springer, Berlin, 1987), pp. 221-231
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements real places; real spectrum of coordinate ring; Harrison topology; real holomorphy ring; Kadison-Dubois theorem; strongly anisotropic forms; semiordering of level n; Krull valuations; Witt ring; formally real fields; orderings; Witt class of quadratic forms; signature Becker, E.: Valuations and real places in the theory of formally real fields, in [10]
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Cohen-Macaulay property; bouquet of spheres; spherical; reduced homology; fibre space; Tits building; split building; connected reductive linear algebraic group; locally finite posets [LR] G. I. Lehrer and L. J. Rylands,The split building of a reductive group, Mathematische Annalen296 (1993), 607--624.
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear equivalence of Tango bundles on projective 4-space; bivectors; Veronese surface; Chern class
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements little discs operads; Hochschild cohomology; algebras of observables; quantum mechanics; deformation quantization; gauge transformations; gauge equivalence class; star products; Poisson manifold; graded Lie superalgebra; Feynman diagrams; Grothendieck-Teichmüller group; operads; algebras over operads; formality theorem; motivic Galois group; higher-dimensional algebras; motives; quantum field theories Maxim Kontsevich, ``Operads and motives in deformation quantization'', Lett. Math. Phys.48 (1999) no. 1, p. 35-72
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements double-point divisor; Roth variety; Castelnuovo variety; secant variety; conductor; projection; linear system Ilic B.: Geometric properties of the double-point divisor. Trans. Am. Math. Soc. 350, 1643--1661 (1998)
0
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear systems of quadrics; trisecant lines
0