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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). moving Seshadri constants; varieties of maximal Albanese dimension; separation of \(k\)-jets
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). families of canonically polarized manifolds; varieties of general type; Shafarevich's conjecture; Viehweg's conjecture; log Fano varieties Lohmann, D.: Families of canonically polarized manifolds over log Fano varieties (2011). arXiv:1107.4545v1
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). curve; function field; Jacobian; abelian variety; finite field; Mordell-Weil group; torsion; rank; \(L\)-function; Birch and Swinnerton-Dyer conjecture; Tate-Shafarevich group; Tamagawa number; endomorphism algebra; descent; height; Néron model; Kodaira-Spencer map; monodromy
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Brill-Noether locus; symplectic vector bundle; determinantal locus
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). integral morphism between affine algebraic k-varieties; weak normalization
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties; elliptic curves; extension groups; modular forms; congruence moduli; Bloch-Kato conjecture; L-function
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). invariant subvariety; cohomology algebra; schematic intersection; flag varieties J. B. Carrell, Deformation of the nilpotent zero scheme and the intersection rings of invariant subvarieties, J. Reine Angew. Math. 460 (1995), 37--54.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). monodromy; families of algebraic varieties; moduli
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). symmetric power of a smooth projective curve; naive Grothendieck ring of varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hilbert modular groups; Hilbert modular varieties; quartic fields H. G. Grundman, Hilbert modular varieties of Galois quartic fields, J. Number Theory 63 (1997), no. 1, 47 -- 58.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tensors; semi-algebraic geometry; singular value decomposition Seigal, A.; Ranks and Symmetric Ranks of Cubic Surfaces; arXiv: 2018; .
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). BNSR invariants; characteristic varieties; tropical geometry
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). degeneracy loci; flag varieties; flagged bundles; symmetric subgroups B. J. Wyser, K-orbit closures on G/B as universal degeneracy loci for flagged vector bundles with symmetric or skew-symmetric bilinear form, Transform. Groups 18 (2013), 557--594, 10.1007/s00031-013-9221-1.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties; automorphisms; positive characteristic; derived autoequivalences; lifting to characteristic zero
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). point counting; zeta function; varieties over finite fields Lauder A., ''Counting Points on Varieties over Finite Fields of Small Characteristic.'' (2001)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cyclic covering; Fano manifolds; varieties of minimal rational tangents
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). integrable systems; Jacobian varieties; integration of ellipsoidal billiards; Abel-Jacobi mapping; Euler top; asymptotic geodesic motion; ellipsoidal layer; theta-functions; KdV equation; solitons [InlineMediaObject not available: see fulltext.]\textbf{65}(2), 133-194 (2010) (Russian). English translation: Dragović, V., Radnović, M.: Integrable billiards and quadrics. \textit{Russ. Math. Surv}., \textbf{65}(2), 319-379 (2010)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). moduli space of complete smooth curves; principally polarized abelian varieties; Torelli theorem; Schottky problem; Kummer surface of the Jacobian; theta constants; K-P equation
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). degenerate secant varieties; 7-dimensional projective manifolds; Gauss maps; Del Pezzo fibrations
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). central simple algebras; generalized Severi-Brauer varieties; Chow groups and motives Zhykhovich, M., \textit{decompositions of motives of generalized Severi-Brauer varieties}, Doc. Math., 17, 151-165, (2012)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). permutation module; general affine group; rank; inclusion matrices; affine subspaces; finite field A. Yakir, The permutation representation of the general affine group on the set of affine subspaces--Decomposition of the permutation module, in preparation.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). integral points; special varieties; abelian varieties; Hilbert property; Hilbert's irreducibility theorem
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rationality of algebraic varieties; Grothendieck ring of varieties; motivic nearby fiber
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). multiple points; fat points; thick points; differential forms; Poincaré lemma; cotangent homology; complete intersections; determinantal singularities; vector fields
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Landau-Ginzburg models; Calabi-Yau compactifications; Fano varieties; coverings
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). homology theory; real Grassmann varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). implicitization; differential rational parametric equations; unirational differential algebraic varieties; Lüroth theorem X. S. Gao, Implicitiztion of differential rational parametric equations, J. of Symbolic Computation, 2003, 36: 811--824.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). free resolutions; tensors; hyperdeterminant Berkesch Zamaere, C.; Erman, D.; Kummini, M.; Sam, S. V, \textit{tensor complexes: multilinear free resolutions constructed from higher tensors}, J. Eur. Math. Soc. (JEMS), 15, 2257-2295, (2013)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rational curves; hypersurfaces; log varieties; rational equivalence; Chow groups
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). convolutional codes; Goopa codes; MDS codes; finite fields; algebraic varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). complex multiplications; Jacobians; abelian varieties Carocca, A.; Lange, H.; Rodríguez, R. E., Jacobians with complex multiplication, Trans. Am. Math. Soc., 363, 6159-6175, (2011)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Lie theory; Lie superalgebras; spherical varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). linear algebraic groups; twisted flag varieties; Rost invariant; Chow motives; equivariant Chow groups Garibaldi, S.; Petrov, V.; Semenov, N., \textit{shells of twisted flag varieties and the rost invariant}, Duke Math. J., 165, 285-339, (2016)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). holomorphic rank 2 vector bundle; Riemann surfaces; irreducible meromophic tracefree connection; logarithmic connection Heu, V, Universal isomonodromic deformations of meromorphic rank 2 connections on curves, Ann. Inst. Fourier, 344, 463-490, (2009)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Shimura varieties; locally symmetric variety; Borel-Serre compactification; toroidal compactifications; Baily-Borel Satake compactification Zucker S. (1997). On the boundary cohomology of locally symmetric varieties. Vietnam J. Math. 25(4): 279--318
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). irreducible complex affine algebraic varieties; linear differential operators; classification of curves; differential isomorphisms; framed curves; adelic Grassmannian; coherent sheaves; Weyl algebras Yu. Berest, G. Wilson, \textit{Differential isomorphism and equivalence of algebraic varieties}, in: \textit{Topology, Geometry and Quantum Field Theory} (Ed. U. Tillmann), London Math. Soc. Lecture Note Ser., Vol. 308, Cambridge Univ. Press, Cambridge, 2004, pp. 98-126.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). arithmetic algebraic geometry; heights; \(L\)-functions; \(p\)-adic regulators; abelian varieties; rigid analytic uniformization; de Rham cohomology; Hodge filtration Iovita, A.; Werner, A., \textit{ \textit{p}-adic height pairings on abelian varieties with semistable ordinary reduction}, J. reine angew. Math., 564, 181-203, (2003)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic varieties over finite fields; zeta functions; points on surfaces; error-correcting codes; arithmetic statistics; explicit formulae in arithmetic
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Bloch-Beilinson filtration; Chow group of zero-cycles; abelian varieties; (co)niveau filtration
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal variety; Chebyshev variety; linear variety Hazama, F., On Chebyshev varieties. II: linear subvarieties, JP J. algebra number theory appl., 5, 113-145, (2005)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties; torsion points; \(l\)-adic representations Yu.G Zarhin, Torsion of abelian varieties, Weil classes and cyclotomic extensions. Math. Proc. Camb. Phil. Soc. 126, 1-15 (1999)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). reductive algebraic group schemes; tilting modules; good filtrations; support varieties; cells of affine Weyl groups; nilpotent orbits Cooper, B. J., On the support varieties of tilting modules, J. Pure Appl. Algebra, 214, 1907-1921, (2010)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). projective varieties; ample divisors; big divisors; higher cohomology groups de Fernex, T.; Küronya, A.; Lazarsfeld, R., Higher cohomology of divisors on a projective variety, Math. Ann., 337, 443-455, (2007)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; lattice polytopes; dual varieties C. Casagrande and S. Di Rocco, \textit{Projective \(\mathbb{Q}\)-factorial toric varieties covered by lines}, Commun. Contemp. Math., 10 (2008), pp. 363--389, .
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). birational automorphisms; rank of a \(\rho\)-elementary subgroup Yu.G. Prokhorov, \(p\)-elementary subgroups of the Cremona group of rank 3, In: Classification of Algebraic Varieties, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011, pp. 327-338.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). plane cubics; quadratic differentials; \({\text{SL}}_2({\mathbb{R}})\)-invariant varieties; Lyapunov exponents
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). characteristic map; dominant map; linear subspace; \(\mathcal G\mathcal L_n\)-invariant set of matrices; rank variety SKRZYŃSKI M.: Irreducible algebraic sets of matrices with dominant restriction of the characteristic map. Math. Bohem. 128 (2003), 91-101.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schottky problem; moduli space of principally polarized abelian varieties; Prym varieties; Kummer variety A. Beauville and O. Debarre, Sur le problème de Schottky pour les variétés de Prym, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 14 (1987), no. 4, 613 -- 623 (1988) (French).
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). polar varieties; equidimensional varieties; singularities; stratifications; Whitney stratifications; Whitney conditions; tubular neighborhoods; tangent cones; limits of tangent spaces; conormal spaces; projective duality, multiplicity; Nash modifications; Plücker-type formulas; Todd's formulas; characteristic classes; Chern classes
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Categorification; quantum groups; Lie algebras; canonical bases; flag varieties I. Frenkel, M. Khovanov and C. Stroppel, \textit{A categorification of finite-dimensional irreducible representations of quantum sl(2) and their tensor products}, \textit{Selecta Math. (N.S.)}\textbf{12} (2006) 379431 [math/0511467].
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). smooth projective curve; moduli space of vector bundles of rank two; degeneration Nagaraj D.S., Seshadri C.S., Degenerations of the moduli spaces of vector bundles on curves. I, Proc. Indian Acad. Sci. Math. Sci., 1997, 107(2), 101--137
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; Hodge numbers; algebraic threefold; semiample hypersurfaces; Jacobi ring Mavlyutov A.: Semiample hypersurfaces in toric varieties. Duke Math. J. 101, 85--116 (2000)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). generalized Kummer varieties; Chow group of zero-cycles; Bloch-Beilinson filtration; Beauville conjecture; constant cycle subvarieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(K\)-theory; zeta function; \(K\)-theory of varieties; Grothendieck group of varieties; motivic measure
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal ideal; Gröbner basis; standard tableaux Conca, A., Gröbner basis of ideals of minors of a symmetric matrix, J. Algebra, 166, 406-421, (1994)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). action of parabolic subgroups; connected reductive algebraic group; algebraic groups with involutions; symmetric varieties; Cartan involution; real reductive groups; orbits of symmetric varieties A. G. Helminck, On groups with a Cartan involution, Proceedings of the Hyderabad Conference on Algebraic Groups (Hyderabad, 1989) Manoj Prakashan, Madras, 1991, pp. 151 -- 192.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). arithmetic rank; filter regular sequence; local cohomology; cohomological dimension Mehrvarz A. A., J. Alg. Appl. 8 pp 855-- (2009)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Albanese varieties; irregularity of cyclic coverings of surfaces; JFM 35.0423.01; JFM 36.0491.01; JFM 39.0698.03; JFM 42.0448.01; Albanese dimension F. Catanese and C. Ciliberto, ''On the irregularity of cyclic coverings of algebraic surfaces,'' in Geometry of Complex Projective Varieties, Rende: Mediterranean, 1993, vol. 9, pp. 89-115.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). projective varieties; Frobenius-Seshadri constants; jet separation; ample line bundle Murayama, T., Frobenius-Seshadri constants and characterizations of projective space, Math. Res. Lett., 25, 3, 905-936, (2018)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). intersection theory; joins; local intersection multiplicity; Bezout theorem; linkage; secant varieties; Chow ring; improper intersections; Stückrad-Vogel cycle; residual intersections; connectedness; Segre classes H. Flenner, L. O'Carrol and W. Vogel. \textit{Joins and Intersections}. Springer Monographs in Math., (1999).
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schubert varieties; local complete intersection; pattern avoidance \beginbarticle \bauthor\binitsH. \bsnmÚlfarsson and \bauthor\binitsA. \bsnmWoo, \batitleWhich Scubert varieties are local complete intersections? \bjtitleProc. Lond. Math. Soc. (3) \bvolume107 (\byear2013), page 1004-\blpage1052. \endbarticle \endbibitem
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Lagrangian fibration; singularity; base manifolds; symplectic varieties Matsushita, D., On base manifolds of Lagrangian fibrations, Sci. China Math., 58, 3, 531-542, (2014)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). homotopy limit; homotopy colimit; closed model category; toric varieties; spectral sequences T Hüttemann, Total cofibres of diagrams of spectra, New York J. Math. 11 (2005) 333
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). lattice polytopes; Ehrhart polynomial; polytope ring; toric varieties; Todd classes; \(K\)-theory Brion, M.: Points entiers dans LES polytopes convexes. Astérisque, 145-169 (1995)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). inverse numerical range; determinantal representation; elliptic curve; kernel vector function
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). free abelian cover; hypersurface complement; hyperplane arrangements; non-isolated singularities; Alexander varieties; characteristic varieties; Dwyer-Fried sets; resonance varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). transcendence methods; lower bounds for cardinality of Galois; orbits; Baker method; Schneider method; abelian varieties; zero; estimates D. Bertrand : Galois orbits on abelian varieties and zero estimates . London Math. Soc. Lecture Note Series 109 (Proc. Australian Math. Soc. Convention, 1985), Cambridge Univ. Press (1986) pp. 21-35.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). line bundles; adjunction theory; simple normal crossing divisors; special varieties DOI: 10.2996/kmj/1104247353
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Gromov-Witten invariant; higher genus curve; moduli space of rank \(2\) semistable bundles J. Bryan and R. Pandharipande, On the rigidity of stable maps to Calabi-Yau threefolds, Proceedings of the BIRS workshop on the interaction of finite type and Gromov-Witten invariants, Geometry and Topology Monographs, Vol. 8 (2006), pp. 97-104.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). arithmetic varieties; Hironaka; resolution of singularities; blowing up; local uniformization V. Cossart, O. Piltant, Resolution of Singularities of Arithmetical Threefolds II. ArXiv e-prints, Dec. 2014.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Weil pairing; Tate pairing; pairing computation; abelian varieties; Miller's algorithm DOI: 10.1016/j.jsc.2014.08.001
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cell decomposition; double Bott-Samelson varieties Mouquin, V.: Cell decompositions of double Bott-Samelson varieties. Int. math. Res. not. 18, 8372-8410 (2015)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(p\)-adic modular forms; Hilbert modular varieties Shu Sasaki, ``Analytic continuation of overconvergent Hilbert eigenforms in the totally split case'', Compos. Math.146 (2010) no. 3, p. 541-560
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). log Calabi-Yau pair; geography of threefolds; projective varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). elliptic curves; twist; 2-descent; Selmer group; rank
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). birational rigidity; Fano varieties; terminal singularities; minimal model program
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hilbertian field; Abelian variety; rank; generalized specialization theorem DOI: 10.1016/j.jnt.2005.12.006
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tensor rank; border rank; multiview geometry; projective reconstruction; computer vision
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). modulli stacks; quiver representation; Nakajima varieties; preprojective algebra; cohomological Hall algebra
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). topological invariants of algebraic varieties; homology groups; fundamental groups; Alexander polynomials; Hodge structures; Whitney stratifications; plane curve and normal surface singularities; Milnor fibration; lattice for an isolated hypersurface singularity; integral bilinear forms; weighted projective varieties; mixed Hodge structures; hypersurface complements; cohomology of complete intersections A. Dimca, ''Singularities and Topology of Hypersurfaces'', Universitext, Springer-Verlag, New York, 1992. DOI: 10.1007/978-1-4612-4404-2
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Mori theory; instability of rank two vector bundles; minimal surfaces general type; Bogomolov-Miyaoka-Yau bound; Chern class; differential structure of surfaces
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Langlands program; Galois representations; Shimura varieties; automorphic representations
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tropical algebraic variety; tropical rank; regular subdivision
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). moduli of rank 2 vector bundles over a curve; relative Frobenius Laszlo Y. and Pauly C. (2004). The Frobenius map, rank 2 vector bunbles and Kummer's quartic surface in characteristic 2 and 3. Adv. Math. 185: 246--269
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). genus; prime divisor; discrete valuation ring of rank 1; algebraic function field of one variable; invariants
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). coherent sheaves; finite length modules; Grothendieck ring of varieties; Hilbert scheme of points; torus actions
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Fano varieties; nef cones; extremal rays; birational geometry
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Hodge cycle; Hodge group; Hodge conjecture; complex multiplication; \(N\)-dominated abelian varieties; Hodge ring; Varchenko matrix; hyperplane arrangements [3] --, `` Hodge cycles on abelian varieties of \(S_n\)-type {'', \(J. Algebraic Geom.\)9 (2000), no. 4, p. 711-753. &MR 17}
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). wonderful compactifications; simple affine algebraic groups; maximal tori; connected components; automorphism groups; varieties Biswas, I.; Kannan, S.S.; Nagaraj, D.S., Automorphisms of \(\overline{T}\), C. R. acad. sci. Paris, ser. I, 353, 785-787, (2015)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). flag varieties; spherical varieties; cluster algebras; toric degenerations Fang, X.; Fourier, G.; Littelmann, P., Representation Theory -- Current Trends and Perspectives, 11, On toric degenerations of flag varieties, 187-232, (2017), European Mathematical Society Publishing House
0
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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). arithmetically Cohen-Macaulay variety; arithmetically Buchsbaum variety; hypersurface section; curve of maximal rank; liaison Migliore, J. C.; Nagel, U., On the Cohen-Macaulay type of the general hypersurface section of a curve, Math. Z., 219, 2, 245-273, (1995)
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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). real theta-characteristics; real abelian varieties; complex conjugation on complex algebraic curves; real curves; Picard scheme; Real hyperelliptic curves; real plane curves; real trigonal curves; real moduli Gross, B. H.; Harris, J., Real algebraic curves, Ann. Sci. École Norm. Sup. (4), 14, 2, 157-182, (1981)
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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). real algebraic variety; complexification; dividing varieties Bochnak, Real algebraic geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete (1998)
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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). matrix pencils; eigenvectors; eigenvalues; projective varieties; Kronecker modules; quiver Grassmannians ]] Ringel, C. M., The eigenvector variety of a matrix pencil. Lin. Algebra and Appl. 531 (2017) 447-458, DOI 10.1016/j.laa.2017.05.004
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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). affine Deligne-Lusztig varieties; \(\sigma\)-conjugacy classes; affine Weyl groups Görtz, U.; He, X.; Nie, S., \textit{P}-alcoves and nonemptiness of affine Deligne-Lusztig varieties, Ann. Sci. Éc. Norm. Supér., 48, 647-665, (2015)
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rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). determinantal representations of smooth irreducible curves; divisor classes Fulton, W. (1969). \textit{Algebraic curves. Mathematics lecture note series}. New York-Amsterdam: W.A. Benjamin.
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