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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Newton-Okounkov body; linear system; big divisor; positivity; local positivity; algebraic geometry; algebraic surface Roé, Joaquim, Local positivity in terms of Newton--Okounkov bodies, (2015)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements weight distribution; zeta functions; optimal minimum distance; maximal number of rational points; linear codes Koornwinder T.H.: Special functions and \(q\)-commuting variables. In: Special Functions. \(q\)-Series and Related Topics, Fields Institute Communications, pp. 109-136. American Mathematical Society, Rhode Island (1997).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic differential 2 forms; geometric genus; arithmetic genus; characteristic linear series; irregularity of an algebraic surface; adjunction F. Bardelli, On the origins of the concept of irregularity of an algebraic surface, in (Brigaglia, Ciliberto, Sernesi, 1994), pp. 11--26.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements supergeometry; ringed spaces; functors of points; linear group actions
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements surface singularity; double point; resolution of singularity; fundamental cycle; fiber cycle A. Calabri - R. Ferraro, Explicit resolutions of double point singularities of surfaces, Collect. Math. 53 (2002), 99--131.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Galois group; resolution of singularities; local fundamental groups of algebraic varieties Abhyankar S S, Local fundamental groups of algebraic varieties,Proc. Am. Math. Soc. 125 (1997) 1635--1641
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Brill-Noether curve; limit linear series; genus; chains of elliptic curves Castorena, A.; López Martín, A.; Teixidor i Bigas, M., Invariants of the brill-Noether curve, Adv. geom., 17, 1, 39-52, (2017)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equisingular families of plane curves; curves on surfaces; real algebraic geometry; plane curve singularities Gert-Martin Greuel and Eugenii Shustin, Geometry of equisingular families of curves, Singularity theory (Liverpool, 1996) London Math. Soc. Lecture Note Ser., vol. 263, Cambridge Univ. Press, Cambridge, 1999, pp. xvi, 79 -- 108.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear series on 4-gonal curves; gonality of a curve; stratification of the moduli space; Brill-Noether-theory \textsc{M. Coppens, } Linear series on \(4\)-gonal curves, Math. Nachr. \textbf{213} (2000), 35-55.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements injective endomorphism of algebraic variety; automorphism; schemes; birational transformations Nowak N., Math. Ann 299 pp 769-- (1994)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements regularity of linear systems of plane curves; fat points
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algorithm; resolution of singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements adjoint linear system; nef divisor; big divisor; birational map; Riemann- Roch theorem; Miyaoka's inequality; threefolds; fourfolds
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements homological conjectures; maximal Cohen-Macaulay complex; multiplier ideal; resolution of singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements affine space; mapping; isomorphism; system of coordinates; module
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements irreducible complex affine algebraic varieties; linear differential operators; classification of curves; differential isomorphisms; framed curves; adelic Grassmannian; coherent sheaves; Weyl algebras Yu. Berest, G. Wilson, \textit{Differential isomorphism and equivalence of algebraic varieties}, in: \textit{Topology, Geometry and Quantum Field Theory} (Ed. U. Tillmann), London Math. Soc. Lecture Note Ser., Vol. 308, Cambridge Univ. Press, Cambridge, 2004, pp. 98-126.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements local Milnor fibre; polar construction; resolution of singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements adjoint linear system; vanishing theorem; Fujita conjecture Heier G.: Effective freeness of adjoint line bundles. Doc. Math. 7, 31--42 (2002)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements characteristic map; dominant map; linear subspace; \(\mathcal G\mathcal L_n\)-invariant set of matrices; rank variety SKRZYŃSKI M.: Irreducible algebraic sets of matrices with dominant restriction of the characteristic map. Math. Bohem. 128 (2003), 91-101.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements system of three terms arithmetic geometric mean; isogeny formula Koike, K; Shiga, H, An extended Gauss AGM and corresponding Picard modular forms, J. Number Theory, 128, 2097-2126, (2008)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolutions of points; linear syzygies; strong Castelnuovo Lemma
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cohomological dimension; local cohomology; system of parameters Ghasemi, G.; Bahmanpour, K.; A'zami, J., Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring, Colloq. math., 137, 263-270, (2014)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic singularity with linear resolution; Fröberg rings; monoid algebra; Poincaré series; Hilbert series; monoidal homology
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Moishezon twistor spaces; conic bundles; irreducible real rational curves; discriminant; explicit rationality; connected sums of self-dual manifolds; linear field equations on self-dual spaces F. Campana and B. Kreußler, A conic bundle description of Moishezon twistor spaces without effective divisors of degree one, Math. Z. 229 (1998), no. 1, 137 -- 162.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements obstruction theories; Hodge locus; semi-regularity map; deformation of linear systems; Noether-Lefschetz locus
| 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 . L'Enseignement Math. 29 (1983) 263-280.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements arcs; wedges; resolution of singularities; Nash map; essential divisors; uniruled variety M. Lejeune-Jalabert and A. J. Reguera-López, Exceptional divisors which are not uniruled belong to the image of the Nash map, 2008.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polynomial system; sparse system; Descartes' rule of signs
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements constructivism; Galois theory; factorization of polynomials; splitting field; binary quadratic forms; composition of forms; Newton's polygon; genus; theorem of Riemann-Roch; Sylow's theorems [Edwards 2005] Edwards, H. \textit{Essays in Constructive Mathematics}. Springer-Verlag, New York.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements flatifying blowing-up; maximal Cohen Macaulay module; simultaneous partial resolution; small resolution; rational double point; RDP; matrix factorization; deformation of algebras; deformation of rational singularities; deformations of exceptional module; partial resolution; domination of resolution; contracting curves; strict transform; Wunram module; blowing up
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements separation index of a root system; irreducible root system; Weyl group; Weyl chamber; open dual cone; Dynkin diagram
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements special linear groups; projective linear groups; general linear groups; connected algebraic groups; root systems; universal groups; adjoint groups; unitary groups; conformal symplectic groups; special Clifford groups; reductive groups; Frobenius morphisms; root groups; groups of Lie type DOI: 10.1112/S0024610799008066
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements arithmetic varieties; Hironaka; resolution of singularities; blowing up; local uniformization V. Cossart, O. Piltant, Resolution of Singularities of Arithmetical Threefolds II. ArXiv e-prints, Dec. 2014.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hironaka resolution of singularities; blowing up H.HAUSER,\textit{The Hironaka theorem on resolution of singularities (or: A proof we always wanted to} \textit{understand)}, Bull. Amer. Math. Soc. (N.S.) 40 (2003), no. 3, 323--403.http://dx.doi.org/ 10.1090/S0273-0979-03-00982-0.MR1978567
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Verlinde's formulas; dimension of cohomology group; moduli space; Picard groups Szenes, A.: Verification of verlinde's formulas for \(SU(2)\). Int. math. Res. notices 7, 93-163 (1991)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements toric variety; Stone-Weierstrass theorem; spaces of toric morphisms; simplicial resolution J. Mostovoy and E. Munguia-Villanueva, Spaces of morphisms from a projective space to a toric variety, preprint, arXiv: arXiv: arXiv:1210.2795
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements evaluation codes; plane valuations; Hamburger-Noether expansions; semigroups at infinitey; resolution of singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements effective Nullstellensatz; geometric degree of the system of equations; Hilbert function M. Sombra, ''Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz,'' \textit{J. Pure Appl. Algebra}, \textbf{117/118}, 565-599 (1996).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert function; unions of linear spaces; zero-dimensional scheme
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements flasque tori; flasque resolution of tori; restriction map in flat cohomology; finite étale cover of integral regular semi-local rings; lifting problem for abelian extensions; Brauer group; generic matrices Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques, Principal homogeneous spaces under flasque tori: applications, J. Algebra, 106, 1, 148-205, (1987)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements parabolic curve; asymptotic fields of lines; real algebraic surfaces; quadratic differential forms
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; logarithmic geometry; algebraic stacks
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cryptanalysis; multilinear map; integer matrix; linear system
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements two dimensional global fields; algebraic function field in one; variable over algebraic number field; Galois cohomology group; \(H^ 3\); Hasse principles; local-global principles; reduced norms; division algebras; quadratic forms; sum of squares K.~Kato, {A {H}asse principle for two dimensional global fields. With an appendix by {J}.-{L} {C}olliot-{T}hélène.}, J. Reine Angew. Math. {366} (1986), 142--180. DOI 10.1515/crll.1986.366.142; zbl 0576.12012; MR0833016
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements annihilator; anticyclotomic \(\mathbb{Z}_ p\)-extension of an imaginary quadratic field; modular elliptic curve; Heegner points; Selmer group; Iwasawa theory M. Bertolini , An annihilator for the p-Selmer group by means of Heegner points . Atti Acc. Naz. Lincei, Classe di Sc. Fis., Mat. e Nat., Rendiconti Lincei, Mat. e Appl. , Serie 9 , Vol. 5 , Fasc. 2 ( 1994 ), 129 - 140 . MR 1292568 | Zbl 0853.11049
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements survey; module categories over finite-dimensional algebras; representation theory of tame algebras; tameness; wildness; quivers; Galois coverings; Auslander-Reiten quivers; component quivers; affine varieties of modules; degenerations of algebras; finite-dimensional modules; integral quadratic forms; representation types; tame quasitilted algebras; tame simply connected algebras
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements gap vectors; nonnegative quadratic forms; sums of squares G. Blekherman, S. Iliman, M. Junhke-Kubitzke, and M. Velasco, \textit{Gap vectors of real projective varieties}, Adv. Math., 283 (2015), pp. 458--472.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements K3 surface; resolution of singularities; Prym variety; lattice of transcendental cycles; Kuga-Satake-Deligne correspondence Bonfanti, M.: On the cohomology of regular surfaces isogenous to a product of curves with \(\chi ({\mathcal O}_S)=2\). arXiv:1512.03168v1
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements hyperplane arrangement; local system; vanishing of cohomology groups; Brieskorn-Orlik-Solomon algebra; deRham cohomology S. Yuzvinsky, Cohomology of Brieskom-Orlik-Solomon algebras, Comm. Algebra23 (1995) 5339--5354.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements instantons; moduli spaces of sheaves and curves; Cremona transformations Perrin, N, Deux composantes du bord de \(I_3\), Bull. Soc. Math. Fr., 130, 537-572, (2002)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quantum cohomology; Calabi-Yau orbifold; crepant Resolution conjecture; quantum \(D\)-module; Dubrovin connection; Frobenius manifold; integral local system; \(K\)-theory; Hard Lefschetz condition Iritani, H.: \textit{tt}\^{}\{*\}-geometry in quantum cohomology. arXiv:0906.1307v1[math D6]
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements ample Cartier divisor; pseudo effective divisor; anti-Kodaira dimension; rational surface; isolated rational singularities; minimal resolution; Zariski decomposition of divisors; dimension formula; anti-genus Sakai, F, Anticanonical models of rational surfaces, Math. Ann., 269, 389-410, (1984)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements singular fiber; adjoint linear system; non-compact Jacobian Yu, F, Note on families of semistable curves over \({\mathbb{P}}^1\) with 4 singular fibers whose Jacobian are non-compact, Sci. China, 53, 1711-1714, (2010)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements modular Springer theory; Schur algebras; Schur functors; Schur-Weyl duality; perverse sheaves; nilpotent cones; affine Grassmannians; categories of polynomial representations; general linear groups; representations of symmetric groups Mautner, C., A geometric Schur functor, Selecta Math. (N.S.), 20, 4, 961-977, (2014)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Koszul cohomology; duality theorem; vanishing theorems; Lefschetz theorems; image of a complex manifold; embedding; minimal free resolution of the ideal of the embedding of a smooth curve; Arbarello-Sernesi module; local Torelli theorems M. Green, Koszul cohomology and the cohomology of projective varieties, J. Differential Geom. 19 (1984), 125-171.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear spaces of matrices; Hermitian matrices; symmetric matrices; maximal dimensions; ranks
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements toroidal compactification; moduli of abelian varieties; quadratic form; matroid; Torelli; Voronoi M. Melo and F. Viviani, Comparing perfect and 2nd Voronoi decompositions: The matroidal locus, Math. Ann. 354 (2012), no. 4, 1521-1554.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hirzebruch surfaces; distribution of rational points; minimal models of rational surfaces; Batyrev-Manin conjectures; asymptotic formulas; bounded height; exceptional curves; accumulating subvarieties Billard, H, Répartition des points rationnels des surfaces géométriquement réglées rationnelles, Astérisque, 251, 79-89, (1998)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Birch-Swinnerton-Dyer conjecture; sums of squares; class number problem; imaginary quadratic fields; Gauss' conjecture; modular elliptic curve; Hasse-Weil L-function; class-number-one problem \BibAuthorsD. Goldfeld, Gauss' class number problem for imaginary quadratic fields, Bull. Amer. Math. Soc. 13 (1) (1985), 23--37.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements gauged linear sigma model; disc invariants; Gromov-Witten invariants; mirror symmetry; open string; charge vectors; Picard-Fuchs system Ke, H.-Z., Zhou, J.: Gauged linear sigma model for disc invariants. \textit{Lett. Math. Phys.}, accepted
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements dimensions of linear systems; line bundle; Riemann-Roch problem; effective divisor S. D. Cutkosky and V. Srinivas, On a problem of Zariski on dimensions of linear systems , Ann. of Math. (2) 137 (1993), 531-559. JSTOR:
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements cubic forms; system; smooth variety; asymptotic; Birch; linear growth; Hasse principle; circle method; bilinear form; inequality; many variables
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements tropical algebra; tropical geometry; tropicalization; Puiseux series; valuation; tangible; metatangible; negation map; triple; system; symmetrization; congruence; hyperfield; fuzzy ring; exploded algebra; ELT algebra; polynomial; tensor product; linear algebra; matrix; Lie algebra; superalgebra; Grassmann algebra; exterior algebra; supertropical algebra; semigroup; monoid; module; semiring; semifield; surpassing relation
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Castelnuovo-Mumford regularity; linear resolution
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Double flag variety; Cox ring; complexity; linear representation; tensor product of representations; branching problem
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Gauss-Manin connection; Bombieri-Dwork conjecture; arithmetic results; values of G-functions at algebraic points; applications of G-function theory; geometric differential equations; Fuchsian differential systems; heights; linear independence; global relations; Grothendieck's conjecture; algebraic relations between periods of algebraic varieties; bound for the heights of certain abelian varieties with a large endomorphism ring; transcendence André, Y.: G-functions and Geometry, Aspects of Mathematics, vol. E13. Friedr. Vieweg & Sohn, Braunschweig (1989)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polynomial system solving; rational univariate representation; geometric resolution; toric (or sparse) resultant Ouchi K, Keyser J. Rational univariate reduction via toric resultants. J Symb Comp, 2008, 43: 811--844
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements invariant \(\sigma\)-finite measure; group of transformations of \({\mathbb{R}}^ n\); invariant extension Krzysztof Ciesielski, Algebraically invariant extensions of \?-finite measures on Euclidean space, Trans. Amer. Math. Soc. 318 (1990), no. 1, 261 -- 273.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements birational transformations; simplicity of the plane Cremona group; birational transformations of a minimal cubic surface; ramification groups M. H. Gizatullin, ''The decomposition, inertia and ramification groups in birational geometry'' inAlgebraic Geometry and Its Applications (Yaroslavl', 1992), Aspects Math.E25, Vieweg, Braunschweig, 1994, 39--45.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements singularities; Riemann-Kempf singularity theorem; non-hyperelliptic curve; linear equivalence classes of positive divisors; index of speciality
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements classification of 3-folds of general type; numerically effective canonical divisor; crepant resolution; canonical models; partial resolution; exceptional prime divisor; terminal singularity; quick singularities M. Reid, \textit{Minimal models of canonical} 3\textit{-folds}, in \textit{Algebraic varieties and analytic varieties (Tokyo, 1981)}, \textit{Adv. Stud. Pure Math.}\textbf{1} (1983) 131, North-Holland, Amsterdam, The Netherlands.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(\Delta\)-genus; polarized by a very ample line bundle; linear system; classification; adjunction theory Fania M.L., Degree ten manifolds of dimension
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rational surfaces; blow-up; minimal free resolution of the homogeneous ideal Holay, S. H.: Free resolutions of the defining ideal of certain rational surfaces. Manuscripta math. 90, No. 1, 23-37 (1996)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements sectional genus; numerically effective canonical divisor; threefold with non-negative Kodaira dimension; very ample linear system
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic spaces; survey; orthogonal bundles; Pfaffians; discriminants; involutions; linear algebraic groups; Witt groups; Clifford invariant; hyperelliptic curves; Chow groups; etale cohomology R. Parimala , Study of quadratic forms-some connections with geometry . Proc. of the Int. Cong. of Mathematicians , Vol. 1 , 2 ( Zürich , 1994 ), 324 - 332 , Birkhäuser , Basel , 1995 . MR 1403933 | Zbl 0851.11025
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements system of generators of an ideal; quasi complete intersection; linkage; liaison; elliptic space curve V. Beorchia and Ph. Ellia, On the equations defining quasicomplete intersection space curves, Arch. Math. (Basel) 70 (1998), no. 3, 244 -- 249.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements modular function; normalized generator of a function field; moonshine; complex multiplication; class fields over imaginary quadratic fields Chang Heon Kim and Ja Kyung Koo, Arithmetic of the modular function \?_{1,4}, Acta Arith. 84 (1998), no. 2, 129 -- 143.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; rational irreducible variety
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements small resolution of singularities; semismall resolution of singularities; \(L^ 2\)-cohomology; Nash blow-up; intersection cohomology Youssin, B., \(L\)\^{}\{2\}-cohomology, Nash blow-up, and semismall resolutions, J. Am. Math. Soc., 6, 817-824, (1993)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear matrix inequality; LMI; spectrahedron; semidefinite programming; SDP; quadratic module; infeasibility; duality theory; real radical; Farkas' lemma I. Klep and M. Schweighofer, \textit{An exact duality theory for semidefinite programming based on sums of squares}, Math. Oper. Res., 38 (2013), pp. 569--590.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Dirichlet series; Gauss sums; formal group; non-quadratic characters; higher dimensional analogues of Honda's groups Nancy Childress and Jeffrey Stopple, Formal groups and Dirichlet \?-functions. I, II, J. Number Theory 41 (1992), no. 3, 283 -- 294, 295 -- 302.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements local ring; syzygy; intersection multiplicity; system of parameters; homological conjectures; Cohen-Macaulay modules
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; algebroidal varieties
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements representation theory; reductive algebraic groups; simple modules; highest weights; character formulas; Weyl's character formula; affine group schemes; injective modules; injective resolutions; derived functors; Hochschild cohomology groups; hyperalgebra; split reductive group schemes; Steinberg's tensor product theorem; irreducible representations; Kempf's vanishing theorem; Borel-Bott-Weil theorem; characters; linkage principle; dominant weights; filtrations; Steinberg modules; cohomology rings; rings of regular functions; Schubert schemes; line bundles; Schur algebras; quantum groups; Kazhdan-Lusztig polynomials J. C. Jantzen, \textit{Representations of Algebraic Groups. Second edition}, Amer. Math. Soc., Providence (2003).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements special linear group; cusp forms; subgroups of finite index; ordinary differential equations; monodromy representation; Dirichlet series; Mellin transform; Gauss-Manin connection; hypergeometric equation Stiller, P.: Special values of Dirichlet series, monodromy, and the periods of automorphic forms. Mem. Am. Math. Soc. \textbf{49}(299), iv+116 (1984)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements action of linear group; automorphism group Ahiezer, D. : On the homogeneity of two-orbit varieties with respect to the full automorphism group (in Russian), vopr . Teor. Grupp. Gomologischskoj Algebry 8 (1988) 141-154.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements derivatives of twists of modular \(L\)-series; \(p\)-adic half-integral weight modular forms; central critical values; class numbers; quadratic fields; orders of Tate-Shafarevich groups; elliptic curve N. Jochnowitz, A \(p\)-adic conjecture about derivatives of \(L\)-series attatched to modular forms, Proceedings of the Boston University Conference on \(p\)-Adic Monodromy and the \(p\)-Adic Birch and Swinnerton-Dyer Conjecture (to appear), CMP 94:13.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements number of elements; Hilbert polynomials; reduced Newton polyhedron A.G. Khovanskii , Newton polyhedron, Hilbert polynomial, and sums of finite sets. Functional . Anal. Appl. 26 ( 1992 ), 276 - 281 . MR 1209944 | Zbl 0809.13012
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Playfair's axiom; perspective drawing; harmonic range; configuration; Fano configuration; Levi graph; Hamiltonian circuit; involution; involutory hexad; Hermitian matrix; Argand plane; equianharmonic points; Plücker lines; Steiner planes; Cremona points; Pascal line; Tutte-Coxeter graph; desmic system; hexagramma mysticum; Gallucci's theorem; Clifford space; Clebsch diagonal surface; Eckhardt point; Steiner system; dodecastigm Lord, E.: Symmetry and Pattern in Projective Geometry. Springer, London (2013)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements minimal resolution of space curve; projective space; kernel of the generic morphism; natural cohomology Ellia, P.; Hirschowitz, A., Voie ouest. I. Génération de certains fibrés sur les espaces projectifs et application, J. Algebr. Geom., 1, 531-547, (1992)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Chern-Schwartz-MacPherson class; logarithmic derivation; Jacobian ideal of linear type 10.2969/jmsj/76797679
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of algebraic surfaces; resolution of singularities; analytic desingularization S. Abhyankar, Resolution of singularities of embedded algebraic surfaces, 2nd ed., Springer Monogr. Math., Springer, Berlin 1998.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements stable locus; linear system; controllability
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements singularities; affine surface of log-general type; minimal embedded resolution; Euler characteristic; rational cuspidal curve; sequence of multiplicities T. Fenske, Rational cuspidal plane curves of type {(d,d-4)} with {\({\chi}\)(\({\Theta}\)_{V}\(\langle\) D\(\rangle\))\(\leq\) 0}, Manuscripta Math. 98 (1999), no. 4, 511-527.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements unitary space; reflection groups; algebra of invariants; basic invariant; canonical system of basic invariants
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rank deficiency; matrix of polynomials; homotopy continuation; irreducible components; numerical algebraic geometry; polynomial system; Grassmannians D.J. Bates, J.D. Hauenstein, C. Peterson, and A.J. Sommese, \textit{Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials}, in Approximate Commutative Algebra, Texts Monogr. Symbol. Comput., Springer, Vienna, 2009, pp. 55--77.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear differential equations; isomonodromic deformation; confluence of singular points; Poincaré rank; gauge transformation; monodromy matrix
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Gieseker-Petri theorem; compact Riemann surface; genus; linear system; K3 surfaces Pareschi, Giuseppe, A proof of Lazarsfeld's theorem on curves on \(K3\) surfaces, J. Algebraic Geom., 4, 1, 195-200, (1995)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements ideal of points in projective space; Cohen-Macaulay; minimal resolution conjecture Ballico, E., Geramita, A.V.: The minimal free resolution of the ideal of s general points in \(\(\mathbb {P}^3\)\). In: Proceedings of the 1984 Vancouver Conference in Algebraic Geometry, pp. 1-10. CMS Conference Proceeding, vol. 6. American Mathematical Society, Providence (1986)
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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements deformation theory of isolated hypersurface singularities; small resolution; generalized Fano variety; threefold with trivial dualizing sheaf; maximum number of nodes; rational curves of low degree on quintic threefolds Losev, A., Nekrasov, N., Shatashvili, S.: \textit{Testing Seiberg-Witten solution}. In: Strings, branes and dualities (Cargèse, 1997), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. \textbf{520}. Dordrecht: Kluwer Acad. Publ., 1999, pp. 359-372
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