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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). symmetric tensors; spectral norm; rank-one approximation; Chebyshev polynomials | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; secant varieties; Veronese variety; catalecticant matrices; affine cone V. Kanev, Chordal varieties of Veronese varieties and catalecticant matrices,J. Math. Sci. 94, (1999), 1114--1125. | 1 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Mordell-Weil rank; Jacobian varieties; Frey-Jarden conjecture; abelian points | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). hyperosculation; Hessian rank; projective varieties; positive characteristic; classification; osculating spaces; hypersurfaces | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Waring rank; symmetric tensors; homogeneous polynomials; ideals of points; Hilbert function; apolarity | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Rational surfaces; determinantal varieties; linear systems of quadrics | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cohomology of determinantal varieties; Picard group Ein L., On the cohomology of projective Cohen-Macaulay determinantal varieties of \({\mathbb{P}^{n}}\), Geometry of complex projective varieties (Cetraro 1990), Semin. Conf. 9, Mediterranean Press, Rende (1993), 143-152. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rank two integrable systems of Prym varieties; symplectic structures; generalized Hitchin systems; Lagrangian fibrations Kjiri, M., The \(G\)-generalized Hitchin systems and Prym varieties, J. math. phys., 41, 11, 7797-7807, (2000) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). three parameter family of elliptic curves; Mordell-Weil rank four; Prym varieties F. Hazama, Rational points on certain abelian varieties over function fields,J. Number Theory 50 (1995), 278--285. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Chow ring; intersection theory; Schubert varieties; Giambelli; determinantal formula; Pieri formula; intersection theory of quotients of reductive algebraic groups by; Borel subgroups; basis theorem; Grassmann manifolds; intersection theory of quotients of reductive algebraic groups by Borel subgroups | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties Piontkowski, J., Linear symmetric determinantal hypersurfaces, Michigan Math. J. 54 (2006), 117--146. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). number of sections of twists of vector bundle; moduli space of all rank two stable vector bundles; nearly natural cohomology; minimal model; number of irreducible components; Albanese varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). reflexive sheaves of rank 2; compactifications of the moduli spaces of stable vector bundles; ideal sheaves of projective varieties; spectrum; torsion-free sheaf; Chern classes; existence of unstable planes Christian Okonek and Heinz Spindler, Das Spektrum torsionsfreier Garben. I, Manuscripta Math. 47 (1984), no. 1-3, 187 -- 228 (German, with English summary). | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). representations of algebras; quivers; determinantal varieties; determinantal ideals; rational singularities; node splitting; moduli spaces | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). logarithmic differential forms; de Rham lemma; normal varieties; Poincaré series; complete intersections; determinantal singularities; fans; rigid singularities | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). prehomogeneous vector spaces; free divisors; linear free divisors; determinantal varieties; Pfaffian varieties; solvable algebraic groups; Cholesky-type factorizations; block representations; exceptional orbit varieties; infinite-dimensional solvable Lie algebras Damon, J.; Pike, B., Solvable groups, free divisors and nonisolated matrix singularities I: towers of free divisors, Ann. Inst. Fourier, 65, 3, 1251-1300, (2015) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). matrix completion; tensors; algebraic varieties; unions of subspaces; subspace clustering | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; linear systems Eisenbud, D., \textit{linear sections of determinantal varieties}, Amer. J. Math., 110, 541-575, (1988) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schur modules; determinantal varieties; Bott's theorem; Schubert varieties; finite free resolutions; desingularization; Koszul complex resolution; resolution of the coordinate ring; Eagon-Northcott resolution; Gulliksen-Negård resolution J. Weyman, \textit{Cohomology of vector bundles and syzygies}, Cambridge University Press, Cambridge U.K. (2003). | 1 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). maximum likelihood degree; rank constraint; determinantal variety J. D. Hauenstein, J. I. Rodriguez, and B. Sturmfels, \textit{Maximum likelihood for matrices with rank constraints}, J. Algebr. Stat., 5 (2014), pp. 18--38. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). symmetric tensor; Waring rank; border rank; secant varieties; polynomials; determinant; permanent; normal forms J.M. Landsberg and Z. Teitler, \textit{On the ranks and border ranks of symmetric tensors}, Found. Comput. Math., 10 (2010), pp. 339--366. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). generic hypersurface; Fano scheme; determinantal varieties A. Langer, \textit{Fano schemes of linear spaces on hypersurfaces}, Manuscripta Math., 93 (1997), pp. 21--28, . | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; local cohomology; Lyubeznik numbers; equivariant \(\mathcal{D}\)-modules | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rank varieties; support varieties; quantum complete intersections Bergh, P. A.; Erdmann, K., The Avrunin-Scott theorem for quantum complete intersections, J. Algebra, 322, 2, 479-488, (2009) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Brill-Noether locus; determinantal varieties Bigas, A Riemann singularity theorem for generalised Brill-Noether loci, Math. Nachr. 196 pp 251-- (1998) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). general linear Lie algebras; special linear Lie algebras; nilpotent cone; commuting varieties; commuting matrices; irreducible varieties; normal varieties; Cohen-Macaulay varieties; cohomology of Frobenius kernels; determinantal rings; good filtrations N.V. Ngo, Commuting varieties of \(r\)-tuples over Lie algebras, J. Pure Appl. Alg. 218 (2014), 1400--1417. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). secant varieties; Young symmetrizers; binary tensors Oeding, L.; Sam, S. V.: Equations for the fifth secant variety of Segre products of projective spaces. Exp. math. 25, 94-99 (2016) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). low rank quadrics; Veronese variety; Veronese re-embedding; determinantal presentation; property | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). secant varieties; affine cones; monic rank | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Veronese variety; Waring rank; tangential variety; nondefectivity of secant varieties Abo, H., Vannieuwenhoven, N.: Most secant varieties of tangential varieties to Veronese varieties are nondefective. Trans. Am. Math. Soc. 370, 393-420 (2018) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schubert varieties; singularities; Kazhdan-Lusztig polynomials; determinantal ideals A. Woo, A. Yong, Governing singularities of Schubert varieties, J. Algebra 320 (2008), no. 2, 495--520. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; secant variety Ravi, M, Determinantal equations for secant varieties of curves, Commun. Algebra, 22, 3103-3106, (1994) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Chern class; Segre class; enveloping algebra; semisimple Lie algebra; cohomology class; flag variety; Goldie rank polynomial; nilpotent varieties; primitive ideals Borho, W., Brylinski, J.-L., MacPherson, R.: A note on primitive ideals and characteristic classes. In. Geometry today. Arbarello, E., Procesi, C., Strickland, E.(eds.), pp. 11-20. Boston, Basel, Stuttgart: Birkhäuser 1985 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). secant varieties; tensor rank; tangent developable; Segre varieties; Comon's conjecture E. Ballico and A. Bernardi, \textit{Tensor ranks on tangent developable of Segre varieties}, Linear Multilinear Algebra, 61 (2013), pp. 881--894. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). singular vector tuples; vector bundles; Chern classes; partially symmetrix tensors; homogeneous pencil eigenvalue problem for cubic tensors; singular value decomposition; best rank-one approximation; best rank-\((r_1,\dots,r_d)\) approximation S. Friedland and G. Ottaviani, \textit{The number of singular vector tuples and uniqueness of best rank-one approximation of tensors}, Found. Comput. Math., 14 (2014), pp. 1209--1242. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; blow-up; exceptional divisor; Hilbert function; minimal resolution; Fano varieties Gimigliano, A., Lorenzini, A.: Blowing up determinantal space curves and varieties of codimension 2. Commun. Algebra 27, 1141--1164 (1999) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal rings; determinantal varieties Bruns, W.; Vetter, U., \textit{Determinantal Rings, Lecture Notes in Mathematics}, Vol. 1327, (1988), Springer-Verlag, Berlin | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). secant varieties; tangential varieties; rank; linearly normal curves; curves | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). collineation bundle; determinantal varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). textbook (algebraic geometry); elimination theory; determinantal varieties; polytopes; \(D\)-modules; holonomic sytems; perverse sheaves; hypersurfaces Gelfand, I.M., Kapranov, M.M., Zelevinsky, A.V.: Discriminants, Resultants and Multidimensional Determinants. Modern Birkhäuser Classics. Birkhäuser Boston, Inc., Boston, MA (2008). Reprint of the 1994 edition | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(k\)-jet ampleness; blow-ups; \(k\)-th order embeddings; minimal degree projective varieties; complete intersection; determinantal varieties M.C. Beltrametti and A.J. Sommese, ''Notes on embeddings of blowups'', to appear in J. of Algebra. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic varieties; determinantal varieties; sheaf theory; tangent cones; smoothness; Bertini's theorem; algebraic curves; Riemann-Roch theorem; rational maps; cohomological method in algebraic geometry Kempf, G. R.: Algebraic varieties. London mathematical society lecture note series 172 (1993) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). twisted cohomology; rank one local systems; characteristic varieties; constructible systems A Dimca, On the irreducible components of characteristic varieties, An. \cStiin\ct. Univ. ``Ovidius'' Constan\cta Ser. Mat. 15 (2007) 67 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tensors; secant varieties Catalisano, Maria Virginia; Geramita, Anthony V.; Gimigliano, Alessandro, Secant varieties of \(\mathbb{P}^1\times\dots\times\mathbb{P}^1\) (\(n\)-times) are not defective for \(n\geq5\), J. Algebraic Geom., 20, 2, 295-327, (2011) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). theta divisor; vector bundle; Brill-Noether locus; determinantal varieties Teixidor, Singular Locus of the Theta Divisor for Stable Vector Bundles of Rank Two, Math. Zeit. 219 pp 477-- (1995) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). degenerations; Schubert varieties; minuscule; Kempf varieties; flag variety; toric varieties; determinantal varieties Gonciulea, N.\!; Lakshmibai, V.\!, Degenerations of flag and Schubert varieties to toric varieties, Transform. Groups, 1, 3, 215-248, (1996) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). linear codes; determinantal varieties; generalized Hamming weight; weight distribution | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Arc spaces; jet schemes; determinantal varieties; topological zeta functions; motivic integration; partitions Docampo, Roi Arcs on determinantal varieties \textit{Trans. Amer. Math. Soc.}365 (2013) 2241--2269 Math Reviews MR3020097 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Abel-Jacobi maps; elliptic quintics; rational quartics; cubic threefold; moduli component of stable rank 2 vector bundles; intermediate Jacobian; Fano varieties Iliev, A; Markushevich, D, The Abel-Jacobi map for a cubic threefold and periods of Fano threefolds of degree \(14\), Doc. Math., 5, 23-47, (2000) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). equivariant cohomology; elementary Abelian subgroups; group cohomology; cohomological support varieties; rank varieties; finite group schemes; cohomology rings; modular representations doi:10.1017/is011012012jkt206 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rank; linear span; reducible varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Diophantine geometry; arithmetic and algebraic geometry; abelian and Jacobian varieties; Mordell-Weil group; rank | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Veronese varieties; determinantal ideals; catalecticant matrices Geramita, A. V.: Catalecticant varieties. Lecture notes in pure and applied mathematics series 208 (1999) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rational normal scroll; Noether normalization; Rees algebra; determinantal varieties DOI: 10.1006/jabr.1997.7414 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). logarithmic differential forms; de Rham complex; graded singularities; Poincaré series; complete intersections; normal varieties; determinantal varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). nonisolated singularities; prehomogeneous vector spaces; determinantal varieties; Milnor fiber | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; isolated singularities; codimension two; Milnor number Ruas, MAS; Pereira, MS, Codimension two determinantal varieties with isolated singularities, Math. Scand., 115, 161-172, (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). linear recurrence relation; Skolem-Mahler-Lech Theorem; determinantal varieties; Vandermonde varieties R. Fr''oberg and B. Shapiro. On Vandermonde varieties. Mathematica Scandinavica, 119(1):73--91, 2016. DOI: 10.7146/math.scand.a-24185 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rational normal scroll; determinantal varieties; higher secant varieties De Poi, Pietro, On higher secant varieties of rational normal scrolls, Matematiche (Catania), 51, 1, 3-21 (1997), (1996) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; Cohen-Macaulay rings; approximation complex; ideal of relation; symmetric algebra; projective dimension two Restuccia G.,On the ideal of relations of a symmetric algebra, Rend. Sem. Mat., Univ. Torino,49 2 (1991), 281--298. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cactus rank; apolarity; cubic form; border rank; Veronese variety; secant varieties Bernardi, A.; Ranestad, K., On the cactus rank of cubics forms, J. Symbolic Comput., 50, 291-297, (2013) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). equivariant cohomology of rank varieties; vexillary permutations; torus | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Mordell-Weil rank; twists; Albanese and Prym varieties; cyclic multiple planes; higher dimension function fields | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hilbert scheme; biflags; determinantal varieties A. S. Tikhomirov, ''The variety of complete pairs of zero-dimensional subschemes of an algebraic surface,'' Izv. Ross. Akad. Nauk. Ser. Mat. 61(6), 153--180 (1997) [Izv. Math. 61 (6), 1265--1291 (1997)]. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic dependence; arithmetical rank; determinantal ideals; sparse matrices | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tensors; partially symmetric tensors; symmetric tensors; tensor rank; partially symmetric rank; Waring rank; apolarity; simultaneous rank; partial derivatives | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(X\)-rank; symmetric tensor rank; strange curve; Veronese varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; minimal degree varieties; multiview geometry; critical loci | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; determinantal ideals | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic geometry; border rank of tensors; \(j\)-invariant of cubic; ternary trilinear forms | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tensors; slice rank; asymptotic spectrum; moment polytopes | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Grassmannians; Schubert varieties; standard monomials; flag varieties; determinantal varieties Lakshmibai, V.\!; Brown, J.\!, The Grassmannian variety, Developments in Mathematics 42, (2015), Springer, New York | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; twisted Carlitz modules | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). nondegenerate CM-type; rank of CM-type; Hodge conjecture; abelian varieties with complex multiplication Yanai H., On the rank of CM-type, Nagoya Math. J.97 (1985) 169-172. Zbl0557.14026 MR781495 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). eigenvectors; Kalman's observability condition; determinantal varieties; Gröbner bases; Hilbert series; vector bundles; Chern classes; resolution of singularities; Kalman variety; Kalman matrix Ottaviani, G.; Sturmfels, B., Matrices with eigenvectors in a given subspace, Proc. Amer. Math. Soc., 141, 1219-1232, (2013) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). periplectic (strange) Lie superalgebra; irreducible representations; determinantal varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Manin-Peyre conjecture; rational points; Fano varieties; Picard rank Blomer, V.; Brüdern, J.; Salberger, P., On a certain senary cubic form, Proc. Lond. Math. Soc. (3), 108, 4, 911-964, (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; Ulrich sheaves; ACM sheaves Miró-Roig, R.M., Pons-Llopis, J.: Representation type of rational ACM surfaces \(\(X\subset {\mathbb {P}}^4\)\). Algebr. Represent. Theory 16, 1135-1157 (2013) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). elementary Abelian \(p\)-groups; Grassmannians; algebraic vector bundles; rank varieties; support varieties; modules of constant Jordan type; modules of constant radical type; modules of constant socle type; group algebras; cyclic shifted subgroups; finite group schemes Carlson, J. F.; Friedlander, E. M.; Pevtsova, J., Representations of elementary abelian \(p\)-groups and bundles on Grassmannians, Adv. Math., 229, 5, 2985-3051, (2012) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tensors; symmetric tensors; rank of tensor; symmetric rank of symmetric tensor; border ranks; best \(k\)-approximation of tensors S. Friedland, \textit{Remarks on the symmetric rank of symmetric tensors}, SIAM J. Matrix Anal. Appl., 37 (2016), pp. 320--337, . | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). local Euler obstruction; Chern-Schwartz-MacPherson class; generic determinantal varieties; essentially isolated determinantal singularity; stabilization | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Brill-Noether theory; moduli space of stable bundles; determinantal varieties; tangent space | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tensor rank; matching polynomial; Schur ring; Young diagram; rank of tensors | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). eigenvectors; tensors; singular tuples; vector bundles; Chern classes; Kalman varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schubert varieties; toric varieties; ladder determinantal varieties; distributive lattices; singular locus; flag variety --, Schubert varieties, toric varieties, and ladder determinantal varieties.Ann. Inst. Fourier (Grenoble), 47 (1997), 1013--1064. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). deformations of curve singularities; inflection points; sheaves of principal parts; linear systems; ramification theory; Weierstrass points; determinantal varieties; intersection theory | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Mordell-Weil rank; Jacobian varieties; quadratic twist | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; Koszul homology; relations between minors; Grassmannians | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Carlitz module; zeros of \(L\)-functions; analytic rank; resultantal varieties; determinants Grishkov, A.; Logachev, D., Resultantal varieties related to zeroes of L-functions of Carlitz modules, \textit{Finite Fields Appl.}, 38, 116-176, (2016) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). symmetric tensors; Waring rank; lower bounds; Strassen's conjecture; \(e\)-computability E. Carlini, L. Chiantini, M. V. Catalisano, A. V. Geramita and J. Woo, Symmetric tensors: Rank, strassen's conjecture and \(e\)-computability, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XVIII (2018), 363--390. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; local Euler obstruction; \(\mathcal{D}\)-modules; de Rham cohomology; intersection cohomology | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). symmetric tensors; secant varieties Sam, S. V., Ideals of bounded rank symmetric tensors are generated in bounded degree, Invent. Math., 1-21, (2016), appeared online | 1 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Siegel modular forms; birational invariants; decomposition; \(\vartheta\)-functions with harmonic coefficients; Siegel modular varieties; holomorphic differential forms; Baily-Borel compactification; bounded symmetric domain; desingularisation; singularities; holomorphic tensors; space of modular forms; graded algebra; stable modular forms Freitag, E.: Birational invariants of modular varieties and singular modular forms. Algebraic geometry and related topics (Inchon, 1992), Conf. Proc. Lecture Notes Algebraic Geom., I, pp. 151-167. Int. Press, Cambridge, MA (1993) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). derived category; derived singularity category; GIT quotient; gauged Landau-Ginzburg model; tilting; gauged linear sigma model; non-commutative resolutions; rank varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rank varieties; invariant cones | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). fields of moduli; action of automorphism of reflex field on the torsion points; Abelian varieties with many complex multiplications; Abelian variety; cyclotomic fields; primes of good reduction; prime ideal decomposition of the endomorphism; Frobenius map; Riemann forms; field of definition; rank of a CM type; Langlands' conjecture; size of the Galois group of torsion points S. Lang, Complex multiplication. Berlin-Heidelberg-NewYork (1983). Zbl0536.14029 MR713612 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal varieties; standard monomials; Schubert varieties C. Musili, C.S. Seshadri. Schubert varieties and the variety of complexes in: ''Arithmetic and geometry'' Vol. II, 329--359, Progr. Math., 36 , Birkh'' auser, Boston, MA, 1983. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schubert varieties; Gröbner basis; determinantal ideals | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). globally \(F\)-regular; strongly \(F\)-regular; Schubert varieties; \(F\)-regular; \(F\)-rational; determinantal variety; flag variety; \(\mathcal D\)-module; Bruhat cell; Verma module Niels Lauritzen, Ulf Raben-Pedersen, and Jesper Funch Thomsen, Global \?-regularity of Schubert varieties with applications to \?-modules, J. Amer. Math. Soc. 19 (2006), no. 2, 345 -- 355. | 0 |
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