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resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements adjoint linear system; generation of jets; Mumford regularity
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements space of rational maps; action of special linear group; discrete dynamical system; geometric invariant theory Silverman, Joseph H., The space of rational maps on \(\mathbb{P}^1\), Duke Math. J., 94, 1, 41-77, (1998)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements pluricanonical maps; threefolds of general type; Kodaira dimension; canonical complete linear system; stable canonical map
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system of plane curves
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Chow ring; trisecant locus; 2-spannedness of the linear system of hyperplane sections; Porteous formula
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system of plane curves; singularities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements hypersurface isolated singularities; D-module; b-functions for holomorphic functions; holomorphic linear differential operators; rationality of b-functions; holonomic system; local monodromy T. Yano, ``\(b\)-functions and exponents of hypersurface isolated singularities'' in Singularities, Part 2 (Arcata, Calif., 1981) , Proc. Sympos. Pure Math. 40 , Amer. Math. Soc., Providence, 1983, 641--652.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements general element of linear system; surface with Picard number equal to 1 DOI: 10.1007/BF02571348
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Wahl maps; minimal free resolution of nonlinearly normal embedded curves; Gaussian maps; non complete linear systems --------, On the minimal free resolution of some projective curves , Ann. Mat. Pura Appl.,
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements determinantal ideal; Gröbner basis; ideal of linear forms; Koszul algebra; linear resolution; polymatroidal ideal; primary decomposition; Rees algebra; regularity; toric deformation Bruns, Winfried; Conca, Aldo, Linear resolutions of powers and products. Singularities and computer algebra, 47-69, (2017), Springer, Cham
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements conical projection; \(L\)-transformation; homaloidal net of conics; involutory quadratic transformations
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Littlewood-Richardson rule; double symmetric functions; equivariant Schubert classes; Grassmannians; quantum immanants; Schur functions; Littlewood-Richardson polynomials; combinatorics of puzzles; Casimir elements; general linear Lie algebra Alexander I. Molev, ``Littlewood-Richardson polynomials'', J. Algebra321 (2009) no. 11, p. 3450-3468
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(\Delta\)-genus; polarized surfaces; linear system; finite base locus; rational map; desingularization of a quadric surface M. YOSHIOKA, Polarized surfaces of zl-genus 3 and degree 5, Tohoku Math. J. 44 (1992), 597-612
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements root system; complete and discriminating invariant; semisimple monoids; linear representations; group of units L. Renner,Classification of semisimple algebraic monoids, Trans. Amer. Math. Soc. 292 (1985), 193--223.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano variety; Mori fibre space; birational map
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements blocks; conjugacy classes; extension principle; finite monoids of Lie type; irreducible representations; linear algebraic monoids; modular representations; Morita equivalences; normal reductive monoids; Putcha lattices of cross-sections; representation theory; semisimple elements; solvable algebraic monoids Renner, L. E.: Representations and blocks of algebraic monoids, Fields inst. Commun. 40 (2004)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Moishezon threefold; fake cubic threefolds; compactifications of \(\mathbb{C}^ 3\); linear system Nakamura, J.: Moishezon threefolds homeomorphic to a cubic hypersurface in P4. J. algebraic geom. 5, 537-569 (1996)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements resolution of singularities; dual graph; Neumann-Wahl system Okuma, T.: Universal abelian covers of certain surface singularities. Math. Ann. 334, 753-773 (2006)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements blowing-up an \(n\)-dimensional linear system; resolution; meromorphic foliation; formal power series ring
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Reflexive sheaf; reflexive module; locally free sheaf; resolution of singularity; quadratic transform
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements symbolic power; projective dimension; depth; asymptotic behavior; monomial ideal; integrally closed ideal; degree complex; local cohomology; Bertini-type theorem; system of linear Diophantine inequalities
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements real projective space; system of smooth submanifolds; algebraizability of a d-web; asymptotic quadratic forms M. A. Akivis, ''On a local condition for algebraizability of a system of subvarieties of a real projective space,'' Dokl. Akad. Nauk SSSR,272 (1983).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements base point free linear system; divisor; geometric genus; irregularity; minimial surface of general type P. FRANCIA, On the base points of the bicanonical system, Problems in the theory of surfaces and their classification (Cortona, 1988), pp. 141-150, Sympos. Math., XXXII, Academic Press, London, 1991. Zbl0828.14023 MR1273376
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements D-module; holonomic system; Weyl algebra; Gröbner basis; free resolution; calculation of de Rham cohomology groups; kan Oaku, T.; Takayama, N., Algorithms for \(D\)-modules--restriction, tensor product, localization, and local cohomology groups, J. Pure Appl. Algebra, 156, 267-308, (2001)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system on complex manifold; linear system of Lefschetz type; cyclic branched covering; algebraic surfaces; homeomorphic but not diffeomorphic Moishezon, B.: Analogs of Lefschetz theorems for linear systems with isolated singularities. J. Diff. Geometry31 47--72 (1990)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements compatibility of a system of linear equations; R-module; determinantal ideals; Prüfer domains; Fitting ideals; determinantal submodules
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements finite subgroup of \(Sl(2,\mathbb{C})\); simple singularities; Dynkin diagram; homology of minimal resolution; root system; Cartan matrix; simple Lie group; McKay correspondence; Coxeter number
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements affine curve linebundle; quadratic potential; Neumann's system; Burchnall-Chaundy-Krichever theory; Lax equations; constants of motion Flaschka H.: Towards an algebro-geometric interpretation of the Neumann system. Tohoku Math. J. (2) 36(3), 407--426 (1984)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements hypersurface of compact complex manifold; defect of the topological Euler characteristic; linear system of divisors; multiplicity of the dual variety Parusiński A., Bull. London Math. Soc 23 pp 428-- (1991)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements differentials of the first kind; quadratic transformations
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements invariants of plane curve singularities; Plücker formulas; wild vanishing cycles Nguyen, H.D.: Invariants of plane curve singularities, and Plücker formulas in positive characteristic. Annal. Inst. Fourier 66, 2047-2066 (2016)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements bound on dimension of linear system; divisor; Riemann-Roch problem
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements weakly normal variety; WN1; theorem of Bertini; linear system; positive characteristic
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system of quadrics; Jacobian
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Hilbert scheme; Grassmannian degeneracy locus; webs of linear complexes; linear system; Palatini scroll; secant variety M. L. Fania, E. Mezzetti, On the Hilbert scheme of Palatini threefolds. \textit{Adv. Geom}. 2 (2002), 371-389. MR1940444 Zbl 1054.14052
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements modular transformation formulas; eighth root of unity; theta-functions; indefinite quadratic forms; spherical functions; factor of automorphy S. Friedberg. On theta functions associated to indefinite quadratic forms. Journal of number theory, 23:255--267, 1986.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements moduli spaces of half-canonical extremal curves; Castelnuovo inequality; Hilbert scheme of smooth curves of genus \(g\) and degree \(d\); linear system; rotationality of moduli space
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements computer aided geometric design; C(sup 1)-continuity; two-dimensional problems; one-dimensional elements; linear; quadratic; cubic Bernstein- Bezier representations; beam problem; linear and quadratic polynomials; triangles; bilinear and quadratic polynomials; parallelograms Luscher, M., On a relation between finite size effects and elastic scattering processes, ()
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements kroneckerian dimension of fields; quadratic transformations; towers; pillars; dicritical divisors Abhyankar, S.S.: Pillars and towers of quadratic transformations. Proc. Am. Math. Soc. 139, 3067--3082 (2011)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements computer algebra; linear system; trigonal curves of genus five; vanishing sequence of the canonical line bundle
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic forms; linear algebraic groups; history of mathematics
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements completeness of linear system; projection; projective normal variety Meadows, D. L.: Dynamics of growth in a finite world. (1984)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semialgebraic functions; semialgebraic bundles; semialgebraic sections; linear equations; jets
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements local cohomology; free resolution; syzygies; graded module over polynomial ring; Bertini classification; Linear parts of resolutions; Castelnuovo regularity; rings of minimal multiplicity; projective varieties of minimal degree \beginbarticle \bauthor\binitsD. \bsnmEisenbud and \bauthor\binitsS. \bsnmGoto, \batitleLinear free resolutions and minimal multiplicity, \bjtitleJ. Algebra \bvolume88 (\byear1984), page 89-\blpage133. \endbarticle \OrigBibText David Eisenbud and Shiro Goto, Linear free resolutions and minimal multiplicity . J. Algebra 88 (1984), 89-133. \endOrigBibText \bptokstructpyb \endbibitem
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements complete intersections; Bertini theorems; upper bound for dimension of singular locus; integral variety; finite dimensional linear system; conical singularities Greco, S., Valabrega, P.: On the singular locus of general complete intersection through a variety in a projective space. Boll. Un. Mat. Ital., 2-D(6), 113--145 (1983)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements birational map; projective space; quadratic transformation; linear system
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear action of reductive algebraic group; stable points; 1-parameter subgroups; \(X^{sss}\); resolution of singularities Zinovy Reichstein, Stability and equivariant maps, Invent. Math. 96 (1989), no. 2, 349-383.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements categories of field extensions; essential dimension; \(G\)-torsors; connected linear algebraic groups; numbers of generators; equivariant resolutions of singularities; quadratic forms; orthogonal groups Chernousov V. and Serre J.-P. (2006). Lower bounds for essential dimensions via orthogonal representations. J. of Algebra 305: 1055--1070
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements IVHS; generic polarized Hodge structure; infinitesimal variation of Hodge structure; infinitesimal Schottky relations; moduli of curves; Gauss linear system; Jacobian system; Torelli theorem for cubic hypersurfaces James Carlson, Mark Green, Phillip Griffiths, and Joe Harris, Infinitesimal variations of Hodge structure. I, Compositio Math. 50 (1983), no. 2-3, 109 -- 205. Phillip Griffiths and Joe Harris, Infinitesimal variations of Hodge structure. II. An infinitesimal invariant of Hodge classes, Compositio Math. 50 (1983), no. 2-3, 207 -- 265. Phillip A. Griffiths, Infinitesimal variations of Hodge structure. III. Determinantal varieties and the infinitesimal invariant of normal functions, Compositio Math. 50 (1983), no. 2-3, 267 -- 324.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polarized varieties; adjoint linear system; adjunction theory; projective normality of smooth projective surfaces G. M. Besana andS.DiRocco, On the projective normality of smooth surfaces of degree nine.Geom. Ded. 74 (1999), 1--21.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements algebraic surfaces of positive index; Chern numbers; Bogomolov-Miyaoka- Yau inequality; watershed conjecture; surface of general type; linear system; fundamental group B. Moishezon and M. Teicher, ''Simply-connected algebraic surfaces of positive index,'' Invent. Math., vol. 89, iss. 3, pp. 601-643, 1987.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements double point divisor; linear system; divisor of rational scroll
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quasirational surface singularity; node of plane curve; quadratic transformations
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Kodaira divisor; smooth irreducible curve on a Del Pezzo surface; gonality; linear system; Clifford index; syzygies of curves Pareschi, G., Exceptional linear systems on curves on del Pezzo surfaces, Math. Ann., 291, 17-38, (1991)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear Diophantine equations; quadratic Diophantine equations; multiplicative Diophantine equations; rational points; curves of genus \(0, 1, (>1)\); Runge theorem; Thue-Siegel theorems; p-adic method; representability of integers by binary quadratic forms Th. Skolem, Diophantische Gleichungen, Chelsea, 1950.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements meromorphic matrix functions; complex vector bundles; closed Riemann surface of arbitrary genus; first-order pole-zero meromorphic \(r\times r\) matrix function interpolation problem; linear homogeneous system of equations Ball, J. A. and Clancey, K.: Interpolation with meromorphic matrix functions, Proc. Amer. Math. Soc. 121 (1994), 491-496.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements finite Coxeter system; Dunkl elements; coinvariant algebras of Coxeter groups; multiparameter deformation; quantized bracket algebras; quantum cohomology ring; flag variety Kirillov, A., Maeno, T.: Noncommutative algebras related with Schubert calculus on Coxeter groups. Eur. J. Comb. \textbf{25}, 1301-1325 (2004). Preprint RIMS-1437, 2003
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements central simple algebras; involution of orthogonal type; \(\sigma\)- symmetric elements; reduced norm; similitudes; quaternion algebras; discriminant extensions; Clifford algebras; algebras with involution; Clifford bimodules; Clifford groups; homogeneous varieties; semisimple linear algebraic groups; Brauer groups Merkurjev, A.; Tignol, J., The multipliers of similitudes and the Brauer group of homogeneous varieties, Journal für die Reine und Angewandte Mathematik, 461, 13-47, (1995)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear codes; extendable codes; minimum weight; Diophantine system of equations Kohnert A.: (l, s)-extension of linear codes. Discret. Math. 309, 412--417 (2009)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements \(K3\) surface; number of curves in linear system Barth, W.; Verra, A., Torsion on \(K3\)-sections, Cortona, 1988, London
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements degeneration of linear system; ramification points; limits of Weierstrass points; families of curves; limit linear systems Esteves, E, Linear systems and ramification points on reducible nodal curves, Mathematica Contemporanea, 14, 21-35, (1998)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements curve of genus three; complete linear system; intersection of quadrics; invertible sheaf; hyperelliptic curve Homma, M., Theorem of Enriques-Petri type for a very ample invertible sheaf on a curve of genus three, Math. Z., 183, 343-353, (1983)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements fundamental points for a one-parameter system of n-dimensional linear subspaces; generalized biaxial space
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic transformations of regular local rings; valuation ring; proximity relation; proximity sequence; curve singularities Aparicio, J.; Granja, A.; Sánchez-Giralda, T.: On proximity relations for valuations dominating a two-dimensional local regular ring. Rev. mat. Iberoamericana 15, No. 3, 621-634 (1999)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements equations defining space curves; complete linear system; integral curve; index of completeness L. Gruson, R. Lazarsfeld, C. Peskine, On a theorem of Castelnuovo, and the equations defining space curves, Invent. Math. 72(3), 491--506 (1983).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements intersection of two plane curves; deformation of singularities; linear system; degeneration; limit linear series
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements projective normality; embedding by a complete linear system; complete non-singular surfaces of degree five Ohbuchi, A, On the projective normality of some varieties of degree \(5\), Pacific J. Math., 144, 313-325, (1990)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements smooth irreducible curve on a Del~Pezzo surface; linear system; Clifford index; syzygies of curves; Kodaira divisor; gonality Pareschi G. (1991). Exceptional linear systems on curves on Del Pezzo surfaces. Math. Ann. 291: 17--38
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Fano threefold of the first kind; linear system; del Pezzo surface Furushima, M., Tada, M.: Non-normal del Pezzo surfaces and Fano threefolds of the first kind. J. reine angew. Math. 429, 183--190 (1992)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements pencil of plane curves; quadratic transformations
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rank of the Jacobian matrix of a linear system of quadrics L. Degoli, Sur la caractéristique de la Jacobienne des systèmes linéaires de quadriques,Czechoslovak Math. J. 36 (1986), 476--484.Zbl 621: 14006
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements geometric systems theory; scattering; filtering; pole-placement; linear input-output system; Heaviside-Mikusinski theory of differential fields and operators; Kronecker pencil Hermann, R.: Topics in the geometric theory of linear systems. Interdisciplinary mathematics (1984)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements semistable curve; moduli of curves; resolution of singularities; alteration; integral variety; monoidal transformations; semi-stable reduction theorem; multiplicity of intersection for two modules; Monsky-Washnitzer cohomology groups; monodromy actions on étale cohomology Berthelot, P., Altérations de variétés algébriques (d'après A.J. de jong), Séminaire Bourbaki, vol. 1995/96, Astérisque, 241, 273-311, (1997), Exp. No. 815, 5
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements multiplicity; linear system of curves; degree J. Roé. Linear systems of plane curves with imposed multiple points, Illinois J. Math. 45 (2001), 895-906.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements fat points; linear system of plane curves; bounds for the regularity Catalisano, Linear systems of plane curves through fixed ''fat'' points of P2, J. Algebra 142 pp 81-- (1991)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements enumeration of curves; complete linear system; plane curve singularities S.\ L. Kleiman and R. Piene, Enumerating singular curves on surfaces, Algebraic geometry: Hirzebruch 70 (Warsaw 1998), Contemp. Math. 241, American Mathematical Society, Providence (1999), 209-238.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Pluricanonical system; adjoint linear system; variety of general type
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic polynomial mappings; linear group; linear equivalence; topological equivalence; classification of polynomial mappings; polynomial equivalence
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear algebraic groups; representations of affine algebraic groups; Jordan-Chevalley decomposition; conjugacy theorems; Borel subgroups; maximal tori; reductive groups; Lie algebras; Weyl group; root system
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements reductive, connected, linear algebraic group; rational G-module; finite resolutions; direct sums of tensor products of exterior powers; Chevalley group schemes; general linear group schemes; Akin-Buchsbaum resolution Donkin, S, \textit{finite resolutions of modules for reductive algebraic groups}, J. Algebra, 101, 473-488, (1986)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements rationality of normal threefold; scroll over a rational surface; linear system Mezzetti, Linear Systems Representing Threefolds Which Are Scrolls on a Rational Surface, Collect. Math. 49 pp 417-- (1998)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements non-Gorenstein singularities; very ampleness of the linear system; Weil divisor; non-rational singularities Fumio Sakai, Reider-Serrano's method on normal surfaces, Algebraic geometry (L'Aquila, 1988) Lecture Notes in Math., vol. 1417, Springer, Berlin, 1990, pp. 301 -- 319.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system; blow-up of 0-dimensional subscheme; very ample divisor; birational morphism E. D. Davis and A. V. Geramita, ''Birational Morphisms to \(\mathbb{P}\)2: An Ideal-Theoretic Perspective,'' Math. Ann. 279, 435--448 (1988).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear system of plane curves; Segre-Harbourne-Hirschowitz conjecture Seibert, J.: The dimension of quasihomogeneous planar linear systems with multiplicity four. Comm. algebra 29, No. 3, 1111-1130 (2001)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements quadratic differential system; algebraic invariant curve; topological equivalence; group action; affine invariant polynomial; configuration of invariant lines; multiplicity of an invariant line; Lotka-Volterra differential system Schlomiuk, D; Vulpe, N, Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight lines, J. Fixed Point Theory Appl., 8, 69, (2010)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements finite number of isomorphism classes of linear maximal Cohen-Macaulay modules; ring of integers of an algebraic number field; quadratic form; matrix factorizations; Clifford algebra; Jordan-Zassenhaus theorem
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements generators; ideals; semialgebraic sets; closures of ideals; semialgebraic partial differential operator; real radical; linear system; polynomial system; algorithms
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements half-canonical series; linear system; moduli space of curves; deformation M. Teixidor i Bigas, Half-canonical series on algebraic curves , Trans. Amer. Math. Soc. 302 (1987), 99--115. JSTOR:
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements morphisms of \(M\)-curves; non-special effective divisors; maximal real algebraic curves; linear system J. Huisman, On the geometry of algebraic curves having many real components, Rev. Mat. Complut. 14 (2001), no. 1, 83-92.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements linear systems; dimension of the singular locus; singularity; linear system; algorithmic method; ramification
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Gröbner bases; Hilbert functions; homogeneous rings; graded rings; Cayley-Bacharach property; gradings; minimal homogeneous system of generators; minimal resolution conjecture; multivariante Hilbert series; CoCoA; SAGBI bases; automatic theorem proving M. Kreuzer and L. Robbiano, \textit{Computational Commutative Algebra 2}, Springer Science & Business Media, 2005.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements smooth \(n\)-fold polarized by a very ample line bundle; dimension of the adjoint linear system; adjunction theory; quadric fibrations M.C. Beltrametti - G.M. Besana - A.J. Sommese , On the dimension of the adjoint linear system for quadric fibrations . In: '' Algebraic Geometry and its Applications '', Proceedings of the 8-th Algebraic Geometry Conference, Yaroslavl', 1992 (A. Tikhomirov and A. Tyurin eds.), Aspects of Math. , E 25 , ( 1994 ), 9 - 20 , Vieweg . MR 1282015 | Zbl 0848.14002
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements tropical algebra; \(d\)-base; \(s\)-base; dual base; change of base semirings; supertropical semifields; semiring module; supertropical linear algebra; supertropical bilinear forms; Cauchy-Schwarz spaces; Gram-Schmidt procedure; supertropical quadratic forms Izhakian, Z.; Knebusch, M.; Rowen, L.: Dual spaces and bilinear forms in supertropical linear algebra, Linear multilinear algebra 60, No. 7, 865-883 (2012)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Iwahori-Hecke algebras; cograssmannian permutations; Kazhdan-Lusztig polynomials; Deodhar elements; Bott-Samelson resolution; sets of masks Jones, Brant; Woo, Alexander, Mask formulas for cograssmannian Kazhdan-Lusztig polynomials, Ann. Comb., 17, 1, 151-203, (2013)
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements base locus of a linear system of quadrics
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements adjoint linear system; global generation of adjoint bundle; ample line bundle S. Helmke, ''On Fujita's conjecture,''Duke Math. J.,88:2, 201--216 (1997).
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements dual curve; Plücker's formulas; algebraic families of cuspidal plane curves; Hilbert's 15th problem; 1-parameter families Kleiman S., Speiser R.,Enumerative geometry of cuspidal plane cubics. Volume 6 of CMS-AMS Conf., 1984, 227--268.
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements 4-folds of general type; pluricanonical map; canonical volume; linear system; birational geometry
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements singularities of a 3-dimensional variety; quadratic transformations
| 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements polarized surfaces; self-intersection number; delta-genus; linear system; blowing up; image of the exceptional curve
| 0 |
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