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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rationally smooth Schubert varieties; Young's lattice Billey, S., and Mitchell, S., Affine partitions and affine Grassmannians, preprint 46pp: arXiv:0712.2871 (2007), to appear in the Electronic Journal of Combinatorics. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Diophantine sets; recursively enumerable sets; Arithmetic of algebraic varieties; Diophantine problems; Tate conjecture; isogenies of abelian varieties; Zeta-functions; L-functions; automorphic forms; automorphic representations; arithmetic scheme; Weil conjecture; modular forms; Galois representations | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). fiber spaces; birational automorphism groups; Cremona groups; rational varieties Bogomolov, F; Böhning, C; Graf von Bothmer, H-C, Birationally isotrivial fiber spaces, Eur. J. Math., 2, 45-54, (2016) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties; fibrations; group actions | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). line bundles on smooth projective varieties; singular Hermitian metrics | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). isomorphic abelian varieties; Jacobians Everett W. Howe, Constructing distinct curves with isomorphic Jacobians in characteristic zero, Internat. Math. Res. Notices 4 (1995), 173 -- 180. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). automorphic vector bundles; automorphic forms on Shimura varieties; rationality of the Fourier-Jacobi coefficients M. Harris, Arithmetic Vector Bundles and Automorphic Forms on Shimura Varieties II, Comp. Math.60 (1986), 323--378. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Chern classes; reflexive sheaves of rank 2; semi-natural cohomology Hirschowitz, Existence de faisceaux réflexifs de rang deux sur P3 à bonne cohomologie, Inst. Hautes Études Sci. Publ. Math. 66 pp 105-- (1988) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). syzygies; representation stability; Segre varieties; Veronese varieties; chessboard complexes; matching complexes; packing complexes; asymptotic vanishing C. Raicu, Representation stability for syzygies of line bundles on Segre-Veronese varieties, arXiv:1209.1183 (2012). | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). families of varieties; log canonical varieties; Shafarevich's conjecture | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic cycles; Bloch-Beilinson filtration; hyperkähler varieties; non-symplectic involution; splitting property; Calabi-Yau varieties Laterveer, R., On the Chow groups of some hyperkähler fourfolds with a non-symplectic involution, \textit{Int. J. Math.}, 28, 3, 1-19, (2017) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Ulrich bundles; Frobenius split varieties; abelian varieties; \(K3\) surfaces; surfaces of general type; threefolds; Fano varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Picard surfaces; Shimura varieties; supersingular strata | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). metaplectic groups; algebraic theory of theta functions; representations of Heisenberg groups; sections of line bundles on complex abelian varieties; isogenies; tower of an abelian variety; theta relations; homogeneous coordinate ring of an abelian variety D. Mumford, \textit{Tata lectures on theta} (1988). | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Lusztig nilpotent variety; quiver varieties; Kac A-polynomial; crystal graphs; canonical basis | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic spaces; toric varieties; action of \(\mathbb{C}^*\) Andrzej Biaynicki, On actions of C on algebraic spaces Fourier, Inst Grenoble 43 pp 359-- (1993) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). ordinary webs; abelian relation; rank; connection; curvature | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). degeneracy locus of symmetric bundle maps; determinantal variety; variation of weight one Hodge structure; families of genus g curves Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). theta functions; abelian varieties; Jacobians; Schottky problem | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Archimedean real closed field; function field; fibration; Hasse principle; Severi-Brauer varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). group actions on varieties and schemes; actions of groups on commutative rings; invariant theory; automorphisms of surfaces and higher-dimensional varieties 10.1090/mcom/3185 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic curves; Riemann surfaces; abelian varieties; Jacobians; sheaves; algebraic schemes; local algebraic geometry Danilov, V.I., Shokurov, V.V.: Algebraic Curves, Algebraic Manifolds and Schemes. Springer, Berlin (1998) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Bruhat orderings; Kazhdan-Lusztig polynomials; Schubert varieties; Coxeter groups F. du Cloux, ''Rigidity of Schubert closures and invariance of Kazhdan-Lusztig polynomials,'' Adv. in Math. 180 (2003), 146--175. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Abelian varieties; Shafarevich-Tate groups DOI: 10.1007/BF02772219 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(L^ 2\)-cohomology; \(L^ 2\)-index theory; arithmetic varieties; Lefschetz formula; Hecke operators; heat equation method; eta terms; zeta terms Stern, M., Lefschetz formulae for arithmetic varieties, Invent. Math., 115, 241-296, (1994) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). maximal rank of embedding Ballico, E., Ellia, Ph.: On the hypersurfaces containing a general projective curve. Compositio Math., 60, 85--95 (1986) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). geometric modular forms; automorphic sheaves; Shimura varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). positivity of vector bundles; algebraicity criterion of formal varieties Chen, H., \textit{algebraicity of formal varieties and positivity of vector bundles}, Math. Ann., 354, 171-192, (2012) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Fano varieties; rational homogeneous manifolds; Campana-Peternell conjecture; rational curves Muñoz, R.; Occhetta, G.; Conde, LES; Watanabe, K.; Wiśniewski, JA, A survey on the campana-peternell conjecture, Rend. Istit. Mat. Univ. Trieste, 47, 127-185, (2015) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). conductor sheaf; Gorenstein varieties [K-W] Kunz, E., Waldi, R.: Der Fuhrer einer Gorensteinvariet?t. J. f. d. reine u. angew. Math.388, 106-115 (1988) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hilbert schemes of points; quiver varieties; HIrzebruch surfaces; ADHM data; monads; Nakajima quivers; McKay quivers; quiver varieties, moduli spaces of quiver representations Bartocci, C.; Bruzzo, U.; Lanza, V.; Rava, C.L.S., Hilbert schemes of points of \(\mathcal{O}_{\mathbb{P}^1}(- n)\) as quiver varieties, J. pure appl. algebra, 221, 2132-2155, (2017) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Weyl groups; Coxeter groups; representations of Hecke algebras; Jordan-Hölder series of Verma modules; irreducible highest weight modules; Weyl character formula; primitive ideals in enveloping algebras; complex semisimple Lie algebras; local Poincaré duality; geometry of Schubert cells; flag varieties; intersection cohomology; Laurent polynomials; intertwining operators; finite Chevalley groups; affine Weyl groups; cohomology groups; simple reflections; highest weight representations; Cartan subalgebras D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, \textit{Invent.} \textit{Math.}, 53 (1979), no. 2, 165--184.Zbl 0499.20035 MR 560412 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). wild ramification; étale cohomology; logarithmic structure; Euler number; \(\ell\)-adic sheaves of rank 1; positive characteristic; Swan character Saito, T.: The Euler numbers of l-adic sheaves of rank 1 in positive characteristic. In: ICM90 Satellite Conference Proceedings, Arithmetic and Algebraic geometry, pp. 165--181. Springer (1991) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Veselov-Novikov equation; Prym varieties; Torelli theorem; finite gap solutions I. A. TaĭManov, Prym varieties of branched coverings and nonlinear equations , Math. USSR-Sb. 70 (1991), 367--384. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Fano threefolds; \(K3\) surfaces; complex symplectic varieties; Lagrangian subvarieties; integrable systems Iliev A. and Manivel L. (2007). Prime Fano threefolds and integrable systems. Math. Ann. 339: 937--955 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Viro method; topology of real algebraic varieties; toric varieties; real complete intersections Bihan F. Viro method for the construction of real complete intersections. Adv Math, 2002, 169: 177--186 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). holomorphic sectional curvatures; maximal rationally connected fibrations; abelian varieties; ruled surfaces; RC positivity; minimal models | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties; rational points; purely inseparable extensions; Frobenius; Verschiebung | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Riemann surfaces; algebraic curves; automorphism groups; Jacobian varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tautological class; intersection product; moduli space of stable curves; generators for the Chow group; rank of the homology group Edidin, D, The codimension-two homology of the moduli space of stable curves is algebraic, Duke Math. J., 67, 241-272, (1992) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Severi varieties Pierre-Emmanuel Chaput, ``Severi varieties'', Math. Z.240 (2002) no. 2, p. 451-459 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(X\)-rank; ranks; border rank; Veronese embedding | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Riemann-Hurwitz formula; rational maps; iterated maps; degeneracy locus; determinantal variety | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Riemann surfaces; group actions; Jacobian varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic cycles; Chow groups; motives; Calabi-Yau varieties; derived equivalence | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). torsion points of abelian varieties; product of non-isogenous elliptic curves [4] M. Hindry & N. Ratazzi, `` Torsion dans un produit de courbes elliptiques {'', \(J. Ramanujan Math. Soc.\)25 (2010), no. 1, p. 81-111. &MR 26 | &Zbl 1206.} | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Teichmüller theory; Riemann surfaces; principally polarized Jacobi varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). local fields; Galois cohomology; ramification theory; abelian varieties; de Rham cohomology; Tate modules; Hodge-Tate decompositions | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). semisimple groups; Borel subalgebras; Coxeter numbers; Euler characteristic; Iwahori subalgebras; affine flag varieties; Lie algebras Kenneth Fan, C, Euler characteristic of certain affine flag varieties, Transform. Groups, 1, 35-39, (1996) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). weakly normal algebraic varieties; linear systems; birational morphism; Bertini's theorem | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Calabi-Yau varieties; ordinary differential equations Jeng-Daw, Yu, Notes on Calabi-Yau ordinary differential equations, Commun. Number Theory Phys., 3, 475-493, (2009) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hilbert function; projective varieties of low degree Park, Euisung: On hypersurfaces containing projective varieties, Forum math. (2013) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). filiform Lie algebras; graded Lie algebras; projective varieties; topology; classification Barron, T.; Kerner, D.; Tvalavadze, M., On varieties of Lie algebras of maximal class, Canad J Math, 67, 55-89, (2015) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(B\)-branes; derived categories of sheaves; toric varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). dimension; conjugacy class of a matrix; rank variety; rank function; partition of a non-negative integer | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rationally connected threefolds; bounded families; projecture threefolds; varieties of small codimension | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). supersingular abelian varieties; superspecial abelian varieties; supersingular curves; superspecial curves; moduli space | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). flag varieties; Kac-Moody group; generalized Cartan matrix; Kac-Moody Lie algebra; Lie algebra cohomology; formal DG-algebra; \(\mathbb Q\)-formal space; rational homotopy theory; minimal model; homotopy Lie algebra Kumar, S.: Rational homotopy theory of flag varieties associated to Kac-Moody groups. MSRI publications 4, 233-273 (1985) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Bost-Connes type systems; complex multiplication; Shimura varieties Yalkinoglu, B.: On Bost-\{C\}onnes type systems and complex multiplication. J. NCG (to appear). doi: 10.4171/JNCG/92 . arXiv:1010.0879v1 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). derived categories; Fourier-Mukai transforms; derived functors; triangulated categories; autoequivalences; exceptional objects; spherical objects; abelian varieties; \(K3\) surfaces; moduli spaces; birational maps; Serre functors; derived equivalence; braid group action; McKay correspondence; homological mirror symmetry; stability conditions; twisted derived categories D. Huybrechts, Fourier-Mukai transforms in algebraic geometry, Oxford Math. Monogr., Clarendon Press, Oxford, 2006. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties over finite fields; cycle class Clozel, L., Equivalence numérique et équivalence cohomologique pour LES variétés abéliennes sur LES corps finis, Ann. of Math. (2), 150, 151-163, (1999) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). stacks; toric varieties; good moduli spaces Geraschenko A. Satriano M. , 'A ''bottom up'' characterization of smooth Deligne--Mumford stacks', Preprint, 2015, http://arxiv.org/abs/1503.05478 . | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). affine symmetric varieties; reductive groups; Weyl group; Hecke algebra; Borel subgroup; local system; two-sided cell | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rings arising in quantum group theory; generic coordinate algebras; quantum Grassmannians; quantum minors; quantum Schubert varieties; normal domains T. H. Lenagan and L. Rigal, Quantum analogues of Schubert varieties in the Grassmannian, Glasg. Math. J. 50 (2008), no. 1, 55 -- 70. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). real fields; sums of squares; topology of real algebraic varieties; Tarski-Seidenberg algorithm | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rational resolution (singularities); algebraic groups; \(G\)-saturation varieties; commuting varieties; homogeneous bundles; cohomology | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cactus rank; Artinian Gorenstein local algebra | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Poincaré polynomials of degenerate flag varieties Feigin, E, The Median Genocchi numbers, \(q\)-analogues and continued fractions, Eur. J. Comb., 33, 1913-1918, (2012) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). varieties; finite fields; small solutions of congruences; systems of forms; points in boxes M. Fujiwara,Distribution of rational points on varieties over finite fields, Mathematika35 (1988), 155--171. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). surface in projection 4-space; 3-fold in projective 5-space; classification of smooth projective varieties; small invariants; small codimension; adjunction theory; liaison Wolfram Decker and Sorin Popescu, On surfaces in \?\(^{4}\) and 3-folds in \?\(^{5}\), Vector bundles in algebraic geometry (Durham, 1993) London Math. Soc. Lecture Note Ser., vol. 208, Cambridge Univ. Press, Cambridge, 1995, pp. 69 -- 100. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). higher direct image sheaves; harmonic forms; abelian varieties; theta divisors H. Clemens - C. D. Hacon, Deformations of the trivial line bundle and vanishing theorems, Amer. J. Math. 124 (2002), 769-815. Zbl1101.14016 MR1914458 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). finite field; family of varieties; monodromy; quadratic excess; genus-\(g\)-curves; degree-\(d\) hypersurfaces; geometric monodromy group; Frobenius-Schur indicator; family of higher-dimensional varieties; Deligne equidistribution theorem Katz, N.: Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. Finite Fields Appl. \textbf{7}(1), 45-69 (2001). (Dedicated to Professor Chao Ko on the occasion of his 90th birthday) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Siegel varieties; Baily-Borel-Satake compactification | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). moduli spaces; principally polarized abelian varieties; Satake compactification; locally symmetric spaces; intersection cohomology; decomposition theorem; link bundles | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). higher Hasse-Witt matrices; formal group laws; length of a jump; sequence for abelian varieties; unit root crystal; hyperelliptic; curves Ditters, E.J.: On the classification of commutative formal group laws overp-Hilbert domains and a finiteness theorem for higher Hasse-Witt matrices. Math. Z.202, 83--109 (1989) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Borel subgroup; semi-simple group; Schubert filtration; Schubert varieties; antidominant weight; excellent filtration Polo, P, Modules associés aux variétés de Schubert, C. R. Acad. Sci. Paris Sér. I Math., 308, 123-126, (1989) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). real rank Carlini, E., Kummer, M., Oneto, A., Ventura, E.: On the real rank of monomials. arXiv:1602.01151 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). elliptic curve; quadratic twist; 2-Selmer rank; number field | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; deformations; Minkowski sums Ilten, N.; Vollmert, R., Deformations of rational \(T\)-varieties, J. Algebraic Geom., 21, 531-562, (2012) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). total positivity; varieties of Borel subgroups; reductive linear algebraic groups; Weyl groups; flag varieties; real algebraic morphisms K. Rietsch, An algebraic cell decomposition of the nonnegative part of a ag variety, J. Algebra 213 (1999), 144--154. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Kummer exact sequence; abelian varieties; Selmer groups | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). structure tensor; rank; Lie algebra | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Betti numbers; generic initial ideal; Gorenstein ideal; stable monomial ideal; standard determinantal ideal Nagel, U.; Römer, T., Criteria for componentwise linearity, Commun. Algebra., 43, 1-18, (2015) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Abelian surfaces; Abelian fourfolds; hyperkähler varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal ideal; 1-generic matrix; maximal Cohen-Macaulay; compressed algebras Eisenbud, D.: On the resiliency of determinantal ideals. Adv. stud. Pure math. 11, 29-38 (1987) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). vector bundle on a compact complex manifold; \(c_ 1\)-sectional genus; classification theory of polarized surfaces; Jacobian varieties; blowing- up Fujita, T., Ample vector bundles of small \(c_{1}\)-sectional genera, J. Math. Kyoto Univ., 29, 1-16, (1989) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). arithmetical rank; toric ideals; graphs Katsabekis, A., Arithmetical rank of toric ideals associated to graphs, Proc. Am. Math. Soc., 138, 3111-3123, (2010) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). infinite field; variety of algebras; category of algebraic sets; category of algebraic varieties B. Plotkin, Ukr. Math. J. 54(6), 1019 (2002). | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). 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 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). finite fields; symmetric tensor rank; algebraic function field; tower of function fields; modular curve; Shimura curve | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). elliptic curve; rank Koh-ichi Nagao, An example of elliptic curve over \?(\?) with rank \ge 13, Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), no. 5, 152 -- 153. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties; torsion points; Galois representations; complex multiplication; Mumford-Tate group | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). syzygies; apolarity; Waring rank; determinant; permanent; algebraic complexity; representation theory | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). homogeneous cover; ring of regular functions; simply connected semisimple complex Lie group; Lie algebra; nilpotent adjoint \(G\)-orbit; Poisson structure; semisimple Lie algebra; Heisenberg Lie algebra; minimal nilpotent orbit; flag varieties; group of holomorphic automorphisms R. Brylinski and B. Kostant, \textit{Nilpotent orbits, normality, and Hamiltonian group actions}, \textit{J. Am. Math. Soc.}\textbf{7} (1994) 269 [math/9204227]. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Gröbner basis; liaison; determinantal ideal; Pfaffian ideal; vertex decomposable simplicial complex Gorla, E.; Migliore, J. C.; Nagel, U., Gröbner bases via linkage, J. Algebra, 384, 110-134, (2013) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). characteristic \(p\); torus; Néron model; split reduction; elliptic curves; abelian varieties; Swan conductor Q. Liu, D. Lorenzini, Special fibers of Néron models and wild ramification, J. Reine Angew. Math. 532 (2001), 179--222. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal rings; Gorenstein rings Conca, A., Divisor class group and the canonical class of determinantal rings defined by ideals of minors of a symmetric matrix, \textit{Arch. Math.}, 63, 216-224, (1994) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). holomorphic disks; tropical curves; toric varieties; Gromov-Witten invariants; Lagrangian torus; pseudoholomorphic curves Nishinou, T.: Disc counting on toric varieties via tropical curves. Am. J. Math. \textbf{134}(6), 1423-1472 (2012) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). fundamental elements; affine Weyl groups; affine Deligne-Lusztig varieties; affine flag varieties Nie, S., \textit{fundamental elements of an affine Weyl group}, Math. Ann., 362, 485-499, (2015) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Calabi-Yau threefolds; Pfaffian varieties; canonical surfaces G. Kapustka and M. Kapustka \({ref.surNamesEn}, Calabi-Yau threefolds in \)\mathbbP^6\(,, \)Ann. Math. Pur. Appl.\(, 195, 529, (2016)\) | 0 |
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