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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). characteristic \(p\); Witt ring; Frobenius automorphism; isocrystals; \(\sigma\)-conjugacy classes; connected reductive groups; Shimura varieties R.\ E. Kottwitz, Isocrystals with additional structure, Compos. Math. 56 (1985), no. 2, 201-220. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). moduli; varieties of general type; coarse moduli Kovács, Sándor J., Young Person's guide to moduli of higher dimensional varietiesalgebraic geometry. {P}art 2, Proc. Sympos. Pure Math., 80, 711-743, (2009) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). existence of abelian varieties of small dimensions; endomorphism algebra; one-parameter family of polarized abelian varieties OORT (F.) and VAN DER PUT (M.) . - A construction of simple abelian varieties , Compositio Math., t. 67, n^\circ 1, 1988 , p 103-120. Numdam | MR 89j:14025 | Zbl 0656.14024 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). irreducibility of the family of all plane curves of given degree; nodes; quasi-ordinary singularity; Severi varieties; fans Ziv Ran, Families of plane curves and their limits: Enriques' conjecture and beyond, Ann. of Math. (2) 130 (1989), 121-157 Zbl0704.14018 MR1005609 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Frobenius structure; differential operator; free modules of finite rank over the ring of analytic elements in annulus; differential polynomial; generic radius of convergence; Frobenius antecedent Christol, G.; Dwork, B., Modules différentiels sur des couronnes, Ann. Inst. Fourier (Grenoble), 44, 3, 663-701, (1994), MR MR1303881 (96f:12008) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). unirationality of moduli space of 5-dimensional principally; polarized abelian varieties; Prym moduli space parametrizing double covers of curves of; genus 6; nets of quadrics; theta characteristic; Prym moduli space parametrizing double covers of curves of genus 6 R. Donagi, The unirationality of
\[
\mathcal{A}_{5}
\]
. Ann. Math. 119, 269--307 (1984) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Siegel moduli space; moduli space of abelian varieties; coarse moduli spaces; Satake compactification; toroidal compactification Chai C.L. , Siegel moduli schemes and their compactifications over C , in: Arithmetic Geometry, Cornell, Silverman , Springer , 1986 . MR 861978 | Zbl 0603.14027 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). permutations; Schubert varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Waring rank; symmetric rank; determinant | 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; Jacobian; zeta function; abelian surfaces DOI: 10.1016/j.crma.2012.10.001 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic curve; divisor; genus; projective varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Jacobian varieties; curves of genus three J. Romero-Valencia and A.G. Zamora, Explicit constructions for genus 3 Jacobians, Preprint (2009), arXiv:math/0904.4537v1[math.AG]. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hamiltonian flow; complete intersections; Milnor number; D-modules; Poisson homology; Poisson varieties; Milnor fibration; Calabi-Yau varieties Etingof, P; Schedler, T, Invariants of Hamiltonian flow on locally complete intersections with isolated singularities, Geom. Funct. Anal., 42, 1885-1912, (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). linkage; Hilbert scheme; maximal rank; obstructed curves; liaison; natural cohomology Bolondi, G.; Kleppe, J. O.; Miro-Roig, R. M.: Maximal rank curves and singular points of the Hilbert scheme. Compos. math. 77, 269-291 (1991) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rational points; Manin's conjecture; spherical varieties; Fano threefolds | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). flag varieties; Schubert cell decomposition; \(M\)-property; configuration spaces; Mayer-Vietoris spectral sequence Shapiro B. Z., Topology Appl. 43 (1) pp 65-- (1992) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Segre classes; Chern classes; embeddings in a product of projective spaces; embeddings of abelian varieties; scroll [L] Lanteri A.--Turrini C.: Some formulas concerning non-singular algebraic varieties embedded in some ambient variety. Atti Accad. Naz. Lincei (8)69, 463--474 (1980) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). spin groups; Shimura varieties; integral canonical models; Kuga-Satake construction Madapusi Pera, K., \textit{integral canonical models for spin Shimura varieties}, Compos. Math., 152, 769-824, (2016) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Picard modular surfaces; abelian varieties; Chow motives; Higgs bundles Miller, A., Müller-Stach, S., Wortmann, S., Yang, Y.H., Zuo, K. Chow-Künneth decomposition for universal families over Picard modular surfaces, Motives and Algebraic cycles I and II (eds. J. Nagel and Ch. Peters), London Math. Society Lecture Notes 343/344, Cambridge (2007). | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Calabi-Yau manifold; Sasaki manifold; Einstein metric; Ricci-flat manifold; toric varieties Van Coevering, C., Examples of asymptotically conical Ricci-flat Kähler manifolds, Math. Z., 267, 1-2, 465-496, (2011) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). character varieties; polynomial count; Euler characteristic Mereb, M.: On the e-polynomials of a family of character varieties. Technical report | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal conditions; resolution of ideal; linkage; residual intersection; Koszul complex; complete intersection Bruns, W.; Kustin, A. R.; Miller, M., The resolution of the generic residual intersection of a complete intersection, J. Algebra, 128, 214-239, (1990) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). secant varieties; secant defectiveness; weak defectiveness; tangential weak defectiveness; identifiability | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). universal Gröbner basis; toric ideals; toric varieties; convex polytopes Sturmfels B (1996) Gröbner bases and Convex Polytopes, vol 8. American Mathematical Society, Providence | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). universal algebraic geometry; free modules over Lie algebras; free semimodules over semirings; semi-inner automorphisms; varieties of universal algebras; congruences of finitely generated free algebras; automorphism groups; free Lie modules Katsov, Y.; Lipyanski, R.; Plotkin, B., Automorphisms of categories of free modules, free semimodules, and free Lie modules, Comm. Algebra, 35, 931-952, (2007) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). affine algebra varieties; quasiprojective varieties; intersection theory; birational equivalence; algebraic groups; degenerations; Bertini theorems; singularities; zeta function I.~Shafarevich. \textit{Basic algebraic geometry~1: varieties in projective space}, 2nd edition, Springer, Berlin 1994. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Picard numbers; rank of the Mordell-Weil group; elliptic curves over function fields; automorphisms Peter F. Stiller, The Picard numbers of elliptic surfaces with many symmetries, Pacific J. Math. 128 (1987), no. 1, 157 -- 189. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian scheme; Betti map; Betti rank; unlikely intersections | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). theory of motives; algebraic fundamental groups; moduli spaces; anabelian varieties; birational geometry; Galois group actions Grothendieck A., Brief an Faltings (27/06/1983), Geometric Galois action 1 (Luminy 1995), London Math. Soc. Lecture Note Ser. 242, Cambridge University Press, Cambridge (1997), 49-58. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Demazure varieties; multigraded Hilbert schemes; affine Grassmanian Kreidl, M, Demazure resolutions as varieties of lattices with infinitesimal structure, J. Algebra, 324, 541-564, (2010) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). postulation; gonality; maximal rank property; canonical curve; embedding; degeneration | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cohomology of modular varieties; congruence subgroups of Sp(4,Z); levels; zeta functions | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rank-one tensor; tensor completion; probability distribution | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). mirror symmetry; Landau-Ginzburg models; quantum cohomology; Gromov-Witten invariants; quadrics; Fano varieties; homogeneous spaces; Dubrovin connection; Gauss-Manin connection C. Pech, K. Rietsch and L. Williams. On Landau--Ginzburg models for quadrics and flat sections of Dubrovin connections, \textit{Adv. Math.}, 300(2016), 275-319. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). log canonical threshold; Fano varieties; Kähler--Einstein metric; birational rigidity Eckl, T; Pukhlikov, AV, On the global log canonical threshold of Fano complete intersections, Eur. J. Math., 2, 291-303, (2016) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tropical basis; Gröbner basis; tropical varieties; \(f\)-vectors | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). locally free bundle of rank 2; Chern classes; jumping conics | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). idempotent relations; periodic points; twists of varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hilbert modular varieties; stratification; characteristic \(p\); Hasse invariants Goren E.\ Z. and Oort F., Stratifications of Hilbert modular varieties, J. Algebraic Geom. 9 (2000), 111-154. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). semi-abelian varieties; Néron models; group of components; tame ramification; Weil restrictions; Tate curves; Jacobian varieties; swan conductor | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). modular form; non-congruent numbers; modular elliptic curve; quadratic twists; Mordell-Weil rank zero; arithmetic progressions; Shimura correspondence Ken Ono, Rank zero quadratic twists of modular elliptic curves, Compositio Math. 104 (1996), no. 3, 293 -- 304. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schubert varieties Jones, B. F., \textit{singular Chern classes of Schubert varieties via small resolution}, Int. Math. Res. Not. IMRN, 2010, 1371-1416, (2010) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; computational algebraic geometry; point estimation; symbolic computation | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Shimura varieties; congruence relations; moduli spaces of abelian varieties; p-divisible groups Bültel, O.; Wedhorn, T., \textit{congruence relations for Shimura varieties associated to some unitary groups}, J. Inst. Math. Jussieu, 5, 229-261, (2006) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Prym-Tyurin varieties; correspondence of a curve; Jacobian; subvariety of abelian variety; de Franchis' theorem; number of morphisms onto curves \beginbarticle \bauthor\binitsC. \bsnmBirkenhake and \bauthor\binitsH. \bsnmLange, \batitleThe exponent of an Abelian subvariety, \bjtitleMath. Ann. \bvolume290 (\byear1991), page 801-\blpage814. \endbarticle \OrigBibText C. Birkenhake and H. Lange. The exponent of an abelian subvariety. Math. Ann. , 290:801-814, 1991. \endOrigBibText \bptokstructpyb \endbibitem | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Segre varieties; secant varieties J. Landsberg and J. Weyman, \textit{On the ideals and singularities of secant varieties of segre varieties}, Bull. London Math. Soc., 39 (2007), pp. 685--697, . | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). moduli space; factorization of holomorphic sections of line bundles; rank two parabolic bundles; Riemann surfaces; Verlinde formula Daskalopoulos G., Wentworth R.: Factorization of rank two theta functions II. Proof of the Verlinde formula. Math. Ann. 304, 21--51 (1996) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). quiver representations; quiver moduli spaces; Fano 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; \(K3\) surfaces; cubic hypersurfaces; Fano varieties of lines; Franchetta conjecture; hyper-Kähler varieties; Beauville ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Weyl groups; reflection representations; algebraic monoids; toric varieties; orbits; Betti numbers L.E. Renner, Weyl groups, descent systems and Betti numbers, Rocky Mountain J. Math., in press. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Abelian varieties; isogenies; points of finite order; Tate modules; complex multiplication Zarhin, {\relax Yu. G}., Abelian varieties over fields of finite characteristic, Cent. Eur. J. Math., 12, 659-674, (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Ultraweakly closed operator algebras; non-selfadjoint operator algebras; elementary algebras; preannihilator; trace class; rank one operators; reflexivity; dimensionality considerations; gap metric; weighted shift operators Azoff, E.A.: On finite rank operators and preannihilators. Mem. Am. Math. Soc. \textbf{64}, no. 357 (1986) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). secant line; multisecant line; Castelnuovo-Mumford regularity; varieties of minimal degree Marie-Amélie Bertin, On singular varieties having an extremal secant line, Comm. Algebra 34 (2006), no. 3, 893 -- 909. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; Calabi-Yau hypersurfaces; Calabi-Yau 3-folds; mirror symmetry; mixed Hodge structures R.P. Horja, \textit{Hypergeometric functions and mirror symmetry in toric varieties}, math/9912109. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Wonderful varieties Pezzini, G.: Wonderful varieties of type C, Ph.D. Thesis, Università La Sapienza, Rome (2004) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Secant varieties; Segre-Veronese varieties; Non-defectivity Abo H.: On non-defectivity of certain Segre-Veronese varieties. J. Symb. Comput. 45, 1254--1269 (2010) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). automorphism; varieties of general type; volume Christopher D. Hacon, James McKernan & Chenyang Xu, ``On the birational automorphisms of varieties of general type'', Ann. Math.177 (2013) no. 3, p. 1077-1111 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). K-stability; Fano varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). zero theorem; Bogomolov problem; abelian varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). indecomposable 2-bundles; five dimensional quadric; rank 4; Chern classes; Cayley bundle Giorgio Ottaviani, ``On Cayley bundles on the five-dimensional quadric'', Boll. Unione Mat. Ital.4 (1990) no. 1, p. 87-100 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic curves; elliptic curves; Jacobian; Weierstrass points; rank; quartic Martine Girard, Géométrie du groupe des points de Weierstrass d'une quartique lisse, J. Number Theory 94 (2002), no. 1, 103 -- 135 (French, with English and French summaries). | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric Fano varieties; equivariant birational maps; embedding an abelian surface; weak-Fano toric varieties; deformations H. Sato, Studies on toric Fano varieties , Tohoku Math Pub., 23, Tohoku Univ., Sendai, 2002. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). birational classification of algebraic varieties; canonical singularities; Mori program; minimal model program in dimension \(\geq 3\); 3-dimensional flips; 3-dimensional flops Kollár, János; Mori, Shigefumi. \(Birational geometry of algebraic varieties\) With the collaboration of C. H. Clemens and A. Corti. Cambridge Tracts in Mathematics, 134. Cambridge University Press, Cambridge, 1998. viii+254 pp. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hilbert modular varieties; moduli spaces; abelian varieties Goren, E. Z.; Kassaei, P. L., Canonical subgroups over Hilbert modular varieties, Journal für die Reine und Angewandte Mathematik, 670, 1-63, (2012) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). automorphic cohomology; Griffiths-Schmid varieties; Shimura curves Carayol, H., Cohomologie automorphe et sous-variétés des variétés de Griffiths-schmid, (Bost, B.; Boyer, P.; Genestier, A.; Lafforgue, L.; Lysenko, S.; Morel, S.; Ngô, B. C., De La Géométrie algébrique aux formes automorphes (I) - (Une collection d'articles en l'honneur du soixantième anniversaire de Gérard Laumon), Orsay, France, June 25-29 2012, Astérisque, vol. 369, (2015), Soc. Math. France), 203-222 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). holomorphic sympltic varieties; \(K3\) surfaces; Tate conjecture Charles, F., \textit{birational boundedness for holomorphic symplectic varieties, zarhin's trick for \textit{K}3 surfaces, and the Tate conjecture}, Ann. of Math. (2), 184, 487-526, (2016) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). unitary bordering matrices; determinantal ternary forms; Riemann theta functions; elliptic curves | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). adjunction theory; special varieties; non-degenerate quadratic singularities Beltrametti, M.C., Lanteri, A., Sommese, A.J.: Adjunction and singular loci of hyperplane sections. J. Math. Soc. Jpn. (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). generalized Hodge conjecture; filtrations on cohomology; abelian varieties S. Abdulali: Filtrations on the cohomology of abelian varieties; in The arithmetic and geometry of algebraic cycles (B. Brent Gordon et alii, eds.), CRM Proceedings and Lecture Notes, American Mathematical Society Providence 2000. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Shimura varieties; Manin problems Vasiu, A., \textit{Manin problems for Shimura varieties of Hodge type}, J. Ramanujan Math. Soc., 26, 31-84, (2011) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). pseudo-convex varieties; mixed Hodge structures; purity theorems; perverse sheaves; vanishing theorem of Kodaira; theorem of Lefschetz; filtered de Rham complex of a rational singularity Navarro-Aznar V., Sur la théorie de Hodge des variétés algébriques à singularités isolées, Systèmes Différentiels et Singularités (Luminy 1983), Astérisque 130, Société Mathématique de France, Paris (1985), 272-307. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). perfectoid spaces; rigid-analytic geometry; almost mathematics; \(p\)-adic Hodge theory; Shimura varieties; Langlands program Scholze, P.: Perfectoid spaces and their applications. In: Proceedings of the International Congress of Mathematicians, August 13-21. Seoul (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Shimura varieties; basic loci; Deligne-Lusztig varieties Görtz, U; He, X, Basic loci in Shimura varieties of Coxeter type, Camb. J. Math., 3, 323-353, (2015) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). dimension types; indecomposables of arbitrary quivers; finite representation type; extended Dynkin diagram; indecomposable representations; positive roots; Tits form; tame; Kac's theorem; affine varieties; orbits; simple roots; reflections; Dynkin quiver; root system H. Kraft and Ch. Riedtmann, Geometry of representations of quivers, Representations of algebras (Durham, 1985) London Math. Soc. Lecture Note Ser., vol. 116, Cambridge Univ. Press, Cambridge, 1986, pp. 109 -- 145. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cuspidal automorphic representations; Ramanujan-Petersson conjecture; Langlands conjecture; cohomology; Drinfeld modular varieties; shtukas L. Lafforgue, Chtoucas de Drinfeld et applications, in: Proceedings of the International Congress of Mathematicians, vol. II, Berlin, 1998, number Extra vol. II, 1998, pp. 563-570 (electronic), MR1648105. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). separation of variables; Killing tensors; Stäckel systems; integrability; algebraic curvature tensors; associahedron Schöbel, Konrad, The variety of integrable Killing tensors on the 3-sphere, SIGMA, 10, (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Weil numbers; smooth curve over a field; zeta function; Riemann hypothesis; abelian varieties over finite fields Rück, H. G., Abelian surfaces and Jacobian varieties over finite fields, Compos. Math., 76, 3, 351-366, (1990) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). elliptic curves; Mordell-Weil group; rank; 7-torsion points; rational points O. Lecacheux, Rang de familles de courbes elliptiques. Acta Arith. 109(2) (2003), 131-142. Zbl1036.11022 MR1980641 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). surfaces of general type; Calabi-Yau threefolds; covering; varieties of minimal degree; canonical ring Gallego F.J., Purnaprajna B.P. (2003). On the canonical rings of covers of surfaces of minimal degree. Trans. Amer. Math. Soc. 355:2715--2732 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; toric code; monomially equivalent; minimum distance | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tropical geometry; tropical varieties; Gröbner fans; standard bases; valued fields | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic monoids; algebraic semigroups; idempotents; toric varieties Brion, M., On algebraic semigroups and monoids, II, \textit{Semigroup Forum}, 88, 1, 250-272, (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Kostka polynomials; atomic decomposition; nilpotent conjugacy classes; nilpotent orbit varieties William Brockman and Mark Haiman, Nilpotent orbit varieties and the atomic decomposition of the \?-Kostka polynomials, Canad. J. Math. 50 (1998), no. 3, 525 -- 537. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). characteristic classes for singular varieties; Hirzebruch classes; signatures; fiber bundles; multiplicativity | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). quiver varieties; ADHM moduli; equivariant \(K\)-theory; quantum equivariant \(K\)-theory; Macdonald symmetric polynomials | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). secant varieties; Veronese embeddings; catalecticant matrices Buczyńska, W.; Buczyński, J., Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes, J. Algebraic Geom., 23, 63-90, (2014) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Shimura varieties; integral canonical models Vasiu, Integral canonical models of unitary Shimura varieties, Asian J. Math. 12 (2) pp 151-- (2008) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Fano varieties; quaternionic Kähler manifolds; positive scalar curvature; Wolf spaces; quaternionic projective plane; complex Grassmannian; twistor space Y. S. Poon and S. M. Salamon, Quaternionic Kähler 8-manifolds with positive scalar curvature, J. Differential Geom. 33 (1991), no. 2, 363 -- 378. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rank-level duality; vertex algebras; conformal blocks; Picard group of the moduli stack of stable curves; psi classes; conformal embedding S. Mukhopadhyay, Rank-level duality and conformal block divisors, preprint (2013), . | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Calabi-Yau 3-folds; mirror manifolds; Gorenstein toric Fano varieties; complete intersections; gravitational quantum cohomology V.V. Batyrev, I. Ciocan-Fontanine, B. Kim and D. van Straten, \textit{Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete Intersections in Grassmannians}, \textit{Nucl. Phys.}\textbf{B 514} (1998) 640 [alg-geom/9710022]. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). semi-stable fibration; p-rank Jang, Junmyeong, Semi-stable fibrations of generic \(p\)-rank 0, Math. Z., 0025-5874, 264, 2, 271-277, (2010) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(K\)-stability; toric varieties; constant scalar curvature Kähler metrics | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). local non-Archimedean ground field; rigid analytic varieties; maximal orders; Drinfeld elliptic modules; formal modules; Drinfeld covering; Weil pairing Alain Genestier, Espaces symétriques de Drinfeld, Astérisque 234 (1996), ii+124 (French, with French summary). | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Calabi-Yau varieties; L-functions; modular forms; mirror Calabi-Yau varieties Kharel, S., Lynker, M., Schimmrigk, R.: String modular motives for mirrors of rigid Calabi-Yau varieties, in Modular forms and string duality, Fields Inst. Commun. 54, Providence, PI: Amer. Math. Soc. Felds. Dist., 2008, pp. 47--63 | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). hyperelliptic curves in abelian varieties | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hilbert polynomials; moduli space of semi-stable rank 2 vector; Hecke correspondence A. Bertram and A. Szenes, ''Hilbert polynomials of moduli spaces of rank-\(2\). Vector bundles. II,'' Topology, vol. 32, iss. 3, pp. 599-609, 1993. | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). partially symmetric rank; cactus rank; tensor rank; W-state; entanglement | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). intermediate cohomology modules; rank two vector bundle; Rao module; subcanonical curve Buraggina, A, The intermediate cohomology modules of a rank two vector bundle on \({ P}^3\) are not split, Commun. Algebra, 25, 999-1008, (1997) | 0 |
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). covariants; multiplicity free representations; reductive algebraic groups; actions on affine varieties Dmitri I. Panyushev, On covariants of reductive algebraic groups, Indag. Math. (N.S.) 13 (2002), no. 1, 125 -- 129. | 0 |
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