text
stringlengths
2
1.42k
label
int64
0
1
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). non compact toric varieties with singularities; homology with closed supports; cohomology with compact supports A. Jordan, ''Homology and Cohomology of Toric Varieties,'' PhD Thesis (Univ. Konstanz, 1997), available at http://www.inf.uni-konstanz.de/Schriften/preprints-1998.html#057
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rigidity theorem; rigid analytic varieties; motives; tilting equivalence
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Shafarevich conjecture; reductive groups; flag varieties Javanpeykar A, Loughran D. The moduli of hypersurfaces with level structure. ArXiv:1511.09291, 2015
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Abelian varieties; Voronoi compactification; Chow ring; cohomology ring K. Hulek and O. Tommasi, Cohomology of the toroidal compactification of {{\mathcal{A}}_{3}}, Vector bundles and complex geometry, Contemp. Math. 522, American Mathematical Society, Providence (2010), 89-103.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). matrix invariants; symplectic invariants; orthogonal invariants; irreducible components; reduced varieties; generic fibers; Brauer-Severi varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). flag varieties; toric varieties; Coxeter matroids; retractions
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). secant varieties; Bronowski conjecture; Betti numbers
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(\sigma\)-conjugacy classes; affine Deligne-Lusztig varieties Goertz, U., He, X., Nie, S.: \(P\)-alcoves and non-emptiness of affine Deligne-lusztig varieties, arXiv:1211.3784
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). supersingular \(K3\) surfaces; supersingular abelian varieties; supersingular Fermat varieties; coniveau filtration Fakhruddin, N.: On the Chow groups of supersingular varieties. Canad. math. Bull. 45, No. 2, 204-212 (2002)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). commutative cancellative torsion-free monoid; monoid ring; \(K\)-homotopy invariance; multiplicative action; nilpotence conjecture; toric variety; local-global patching; Mayer-Vietoris sequence for singular varieties; excision; pyramidal descent; big Witt vectors; nil-\(K\)-theory Joseph Gubeladze, Higher \?-theory of toric varieties, \?-Theory 28 (2003), no. 4, 285 -- 327.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Frobenius endomorphisms; elliptic curves; Jacobian varieties; zeta-functions Xing, C. P.: Zeta-functions of curves of genus 2 over finite fields. J. Algebra, 308, 734--741 (2007)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). projective varieties with regular \(SL_ 2\) actions; cohomology ring E. Akyildiz, J. B. Carrell, Cohomology of projective varieties with regular SL2 actions, Manuscripta Math. 58 (1987), 473--486.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(D\)-modules algebraic varieties; Riemann-Hilbert correspondence; Kazhdan-Lusztig conjecture; application to representation theory; holonomic \(D\)-modules; coherent \(D\)-modules; analytic \(D\)-modules Hotta, R.; Takeuchi, K.; Tanisaki, T., D-Modules, Perverse Sheaves, and Representation Theory, Progr. Math., vol. 236, (2008), Birkhäuser Boston Inc.: Birkhäuser Boston Inc. Boston, MA, Translated from the 1995 Japanese edition by Takeuchi, xii+407
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). degenerations of modules; singularities; modules varieties Skowroński, A.; Zwara, G.: Derived equivalences of selfinjective algebras preserve singularities. Manuscripta math. 112, 221-230 (2003)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). effectivity; determinantal resultant; mixed resultant; Macaulay resultant; syzygies and resolutions Laurent Busé, Resultants of determinantal varieties, J. Pure Appl. Algebra 193 (2004), no. 1-3, 71 -- 97.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). varieties over finite fields; rational points; singular locus; Bertini smoothness theorem; polar varieties; multihomogeneous Bézout theorem; Deligne estimate; Hooley-Katz estimate [CMP12]A. Cafure, G. Matera, and M. Privitelli, Polar varieties, Bertini's theorems and number of points of singular complete intersections over a finite field , arXiv:1209.4938 [math.AG] (2012). 178G. Matera et al.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). sparse resultant; multihomogeneous system; determinantal formula; Sylvester and Bézout type matrix; degree vector Dickenstein, A.; Emiris, I.: Multihomogeneous resultant matrices. (2002)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). stable pairs of rank 2 over a compact Riemann surface; coarse moduli property; moduli scheme of stable pairs 30. Nitsure, Nitin Moduli space of semistable pairs on a curve \textit{Proc. London Math. Soc.}62 (1991) 275--300 Math Reviews MR1085642
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). isocrystals; Deligne-Lusztig varieties; Newton polygon Wintenberger, J.-P., Existence de \(F\)-cristaux avec structures supplémentaires, Adv. Math., 0001-8708, 190, 1, 196-224, (2005)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cluster algebras; affine varieties; Dynkin diagrams; finite fields
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). typical rank; real rank boundary; binary form; real roots; coincident root locus; Waring problem
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). genus; Mordell-Weil rank; Jacobian variety
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties; Shimura varieties; finite group schemes Lau, E.: A relation between Dieudonné displays and crystalline Dieudonné theory. arXiv:1006.2720v1
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). flag varieties; Gröbner fans; distributive lattices; poset polytopes; Young tableaux; Hodge algebras; tropical geometry
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). special cycles; generating functions; Jacobi forms; Kudla's modularity conjecture; theta series; unitary Shimura varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). unramified homomorphisms; descent sequence; isogeny; abelian varieties defined over a number field; Galois cohomological; Selmer group; class field theory; ideal class group Schaefer E.\ F., Class groups and Selmer groups, J. Number Theory 56 (1996), no. 1, 79-114.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). varieties of Picard type; Picard modular forms; moduli spaces of principally polarized abelian varieties; Hermitian forms; Hermitian modular group --, On Picard modular forms.Math. Nachr. 184 (1997), 259--273.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). group actions on varieties; toric varieties; Newton polytopes; mirror symmetry Stapledon, A, Representations on the cohomology of hypersurfaces and mirror symmetry, Adv. Math., 226, 5268-5297, (2011)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Fano varieties; Calabi-Yau varieties; Hodge numbers; Batyrev-Borisov construction; complete intersections
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). hyperelliptic curve; twist; Mordell-Weil rank; Jacobian Jędrzejak, T.; Top, J.; Ulas, M.: Tuples of hyperelliptic curves y2=xn+a, Acta arith. 150, No. 2, 105-113 (2011)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). linear determinantal representations; plane cubics; twisted Fermat cubics
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cluster algebras; cluster varieties; toric degenerations
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). vector bundles; adjunction; Fano varieties; sectional genus
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). finite geometry; Hermitian; quadrics; varieties; Grassmann; Veronese; Segre; partial geometries; arcs; caps; polar spaces; generalized quadrangles; ovoids; spreads; bibliography J. W. P. Hirschfeld and J. A. Thas, General Galois Geometries, Oxford Math. Monogr., Oxford University Press, New York, 1991.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). rank \(r\) vector bundle as direct image of line bundle; finite morphisms; covering
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Shimura varieties; \(L\)-functions; automorphic forms Reimann, H., Cohomology of quaternionic Shimura varieties at parahoric levels, Manuscripta Math., 107, 3, 391-407, (2002)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cell complexes; locally symmetric spaces; configurations; projective space; modular varieties; principal congruence subgroup; deformation retract; projective configurations; Voronoi decomposition McConnell M., Math. Ann. 290 pp 441-- (1991)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Fourier-Mukai transform; holonomic \(D\)-modules; abelian varieties Schnell, C., Holonomic D-modules on abelian varieties, Publ. Math. Inst. Hautes Études Sci. 121 (2015), 1--55.DOI: 10.1007/s10240-014-0061-x
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). subspace arrangement; star configuration, interpolation; arithmetic rank
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). nonisolated singularities; non-degenerate singularities; topological zeta functions; monodromy conjecture; toric varieties; Newton polytopes; non-convenient Newton polyhedra; eigenvalues of monodromy; corners; hypermodular function; lattice geometry
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). genus; Mordell-Weil rank; Jacobian variety
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). affine pavings; partial flag varieties L. Fresse, Existence of affine pavings for varieties of partial flags associated to nilpotent elements, Int. Math. Res. Not. IMRN 2016 (2016), 418--472.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schubert varieties; cohomology of line bundles; semisimple algebraic groups; Frobenius splitting Lauritzen, N.; Thomsen, J. F., Line bundles on Bott-Samelson varieties, J. Algebraic Geom., 13, 461-473, (2004)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cocharacters; nilpotent elements; nilpotent cones; unipotent varieties; sl(2)-triples; group actions Fowler, R.; Röhrle, G.: On cocharacters associated to nilpotent elements of reductive groups, Nagoya math. J. 190, 105-128 (2008)
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; Voisin's conjecture; Calabi-Yau varieties of dimension at most 5
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Calabi-Yau 3-folds; Mordell-Weil rank; rational elliptic surfaces; elliptic fibration; Schoen 3-folds; Namikawa examples; quantum gravity; abelian gauge algebra; F-theory compactification; massless particle spectrum; U(1) charge; charged singlet matter; anomaly cancellation; Weierstrass model; Elkies models; birational Calabi-Yau
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). minimal degree varieties; rational normal curves; quasi-Grassmannians and Grassmannians Pirio L. and Trépreau J.-M., Sur les varietés \({X\subset\mathbb{P}^{N}}\) telles que par n points passe une courbe de degré donné, Bull. Soc. Math. France 141 (2013), 131-196.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). polarizations; isogenies; Euler characteristics; symplectic representations; \(\ell\)-adic representations; group of inertia type; isogeny classes of abelian varieties Silverberg, A.; Zarhin, Yu.G.: Polarizations on abelian varieties and self-dual \(\ell \)-adic representations of inertia groups. Compositio math. 126, 25-45 (2001)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; projectively normal; Fano variety
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). bounded genus; generalized Castelnuovo varieties DOI: 10.1007/BF02567861
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). unirationality; Fano varieties; geometry of hypersurfaces J. Harris, B. Mazur and R. Pandharipande, ''Hypersurfaces of low degree,'' Duke Math. J. 95(1), 125--160 (1998).
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). global dimension; rings of global sections; sheaves of twisted differential operators; spectral sequence; flag varieties; enveloping algebras of semisimple Lie algebras; Weyl group DOI: 10.1112/blms/24.2.148
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Riemann-Schottky problem; Jacobian varieties; principally polarized abelian varieties; theta functions
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; affine extensions; Gorenstein local rings Şahin, M, Extensions of toric varieties, Electron. J. Combin., 18, p93, (2011)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). curves of genus 2; Mordell-Weil group; Mordell-Weil rank; rational points; absolutely simple Jacobian; high rank
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). postulation; embedding of general curve into projective n-space; maximal rank conjecture; general projection Ballico, E., Ellia, Ph.: On the projection of a general curve in \(\mathbb{P}\)3. Annali Mat. Pura e Applicata, 142(4), 15--48 (1985)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic cycles; abelian varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). moduli of vector bundles; del Pezzo surfaces; birational geometry; Fano varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). stable vector bundles of rank two; determinant surface; Picard number
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Abelian varieties; torsion subgroups; Mumford-Tate group [10]C. Hall, An open-image theorem for a general class of abelian varieties (with an appendix by E. Kowalski), Bull. London Math. Soc. 43 (2011), 703--711.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). differential geometry; algebraic geometry; toric varieties Katzarkov, L., Lupercio, E., Meersseman, L., Verjovsky, A.: The definition of a non-commutative toric variety. In: Tillmann, U., Galatius, S., Sinha, D. (eds.) Algebraic Topology: Applications and New Directions. Contemporary Mathematics, vol. 620. AMS pp. 223-250 (2014)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). group of automorphisms; flexible varieties: extension problem
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Schubert varieties; Grassmann varieties; spherical varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tropical geometry; tropical independence; maximal rank conjecture
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). integrable highest weight modules; construction of enveloping algebra; Kac-Moody algebras; quiver varieties; Hecke correspondences H. Nakajima, ``Quiver varieties and Kac-Moody algebras'', Duke Math. J.91 (1998) no. 3, p. 515-560
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Grassmannian; higher secant varieties; stable bundles on curves; joins Ballico E., Results Math. 32 pp 29-- (1997)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). GIT; cohomology; Nakajima quiver varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). metrized vector bundles; compactified representations; height of the flag varieties; heights on the projective space; height on the moduli space of vector bundles over an algebraic curve Gasbarri, C., Heights and geometric invariant theory, Forum Mathematicum, 12, 135-153, (2000)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). maximal rank; Cohen-Macaulay; web; arithmetic genus Gruson, L.; Hantout, Y.; Lehmann, D.: Courbes algébriques ordinaires et tissus associés, C. R. Acad. sci. Paris, ser. I 350, 513-518 (2012)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(z\)-divisible local Anderson modules; Drinfeld modules; \(A\)-motives; Drinfeld modular varieties; tensor constructions; multilinear theory of Drinfeld displays
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). abelian varieties; hyperelliptic curves; Tate modules; Galois groups Yuri G. Zarhin, Galois groups of Mori trinomials and hyperelliptic curves with big monodromy, European J. Math., DOI 10.1007/s40879-015-0048-2.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Coxeter groups; affine Weyl groups; \(p\)-adic groups; conjugacy classes; class polynomials; admissible sets; Shimura varieties; Deligne-Lusztig varieties; Iwahori subgroup; parahoric subgroup; affine Hecke algebras; cocenters; character tables He, X., Hecke algebras and \textit{p}-adic groups, (), 73-135
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). affine Kac-Moody Lie algebra; integrable highest weight modules; root components; Virasoro algebra; higher cohomology vanishing; Schubert varieties; partial flag varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). integral models; Shimura varieties; vertex lattice
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Springer correspondence; nearby cycle sheaves; symmetric pairs; Hecke algebras; Hessenberg varieties; Fourier transform
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic variety; local multiplicity; complete intersection; Pfaffian varieties; effective estimates; Łojasiewicz inequalities; Pfaffian functions A. Gabrièlov, Multiplicities of Pfaffian intersections, and the Łojasiewicz inequality, Selecta Math. (N.S.) 1 (1995), no. 1, 113 -- 127.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). torus action; polytopes; Fano varieties; Kähler-Einstein metrics; Cox rings Süß, H., Fano threefolds with 2-torus action--a picture book, Doc. Math., 19, 905-914, (2014)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Young diagrams; intersection numbers; toric varieties; structure constants Abe, H., Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers, Electron. J. Combin., 22, 24, (2015)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). holomorphic foliations; polar classes; Schubert cycles; Chern-Mather classes; invariant varieties Mol (R.S.).- Classes polaires associées aux distributions holomorphes de sous-espaces tangents. Bull. Braz. Math. Soc. (N.S.), 37(1):29-48, (2006). Zbl1120.32019 MR2223486
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). bordered algebraic varieties; matrix valued functions; transfer function; isospectral rational matrix inner functions; unitaries; geometrically equivalent distinguished varieties Jim Agler and John E. McCarthy, Parametrizing distinguished varieties, Recent advances in operator-related function theory, Contemp. Math., vol. 393, Amer. Math. Soc., Providence, RI, 2006, pp. 29 -- 34.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). additive Strassen conjecture; symmetric tensors; computational complexity; polynomials \beginbarticle \bauthor\binitsE. \bsnmCarlini, \bauthor\binitsM. V. \bsnmCatalisano and \bauthor\binitsL. \bsnmChiantini, \batitleProgress on the symmetric Strassen conjecture, \bjtitleJ. Pure Appl. Algebra \bvolume219 (\byear2015), no. \bissue8, page 3149-\blpage3157. \endbarticle \OrigBibText Enrico Carlini, Maria Virginia Catalisano, and Luca Chiantini, Progress on the symmetric Strassen conjecture , J. Pure Appl. Algebra 219 (2015), no. 8, 3149-3157. \endOrigBibText \bptokstructpyb \endbibitem
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). crepant resolutions; Fujiki-Oka resolutions; higher dimension; finite groups; abelian groups; Hirzebruch-Jung continued fractions; invariant theory; multidimensional continued fractions; quotient singularities; toric varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). irreducible symplectic varieties; hyperkähler manifolds; base locus; Fujita's conjecture
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). affine varieties; regular morphisms; proper mappings; closed morphisms; Łojasiewicz exponent; Zariski topology
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cohomology; line bundles; Schubert varieties P. Polo, Variétés de Schubert et excellentes filtrations, Astérisque 173{174 (1989), no. 10-11, 281-311.}
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Fuchsian systems; oscillation; zeros; semialgebraic varieties; effective algebraic geometry; monodromy Binyamini, G.; Yakovenko, S., Polynomial bounds for the oscillation of solutions of Fuchsian systems, Université de Grenoble. Annales de l'Institut Fourier, 59, 2891-2926, (2009)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Deligne-Lusztig varieties; \(K\)-theory; Grothendieck polynomials; degeneracy loci
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). \(p\)-adic cohomology; Weil cohomology; liftable varieties; Weil conjectures; Lefschetz theorem; Lefschetz duality theorem
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Fano varieties; complements; linear systems; minimal model program
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). toric varieties; Hirzebruch surface; error-corecting codes Hansen J.P.: Toric variety, Hirzebruch surfaces and error-correcting codes. Appl. Algebra Eng. Commun. Comput. 13(4), 293--300 (2002)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Mordell--Weil rank; Selmer group; Jacobians; curves over global fields; Shafarevich--Tate group; descent; Galois cohomology B. Poonen and E. Schaefer, ''Explicit Descent for Jacobians of Cyclic Covers of the Projective Line,'' J. Reine Angew. Math. 488, 141--188 (1997).
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). tensors; eigenvectors Hu, S; Qi, L, The E-eigenvectors of tensors, Linear Multlinear Algebra, 62, 1388-1402, (2014)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Littlewood-Richardson coefficients; flag varieties; Schubert varieties; semisimple groups; Kac-Moody groups; reflection groups; Cartan matrices; Weyl groups Berenstein, A; Richmond, E, Littlewood-Richardson coefficients for reflection groups, Adv. Math., 284, 54-111, (2015)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Kummer hyperelliptic varieties; matrix variety; rationality; Jacobians of hyperelliptic curves
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Langlands conjecture on zeta functions of Shimura varieties; fixed points of twisted Hecke correspondences; Honda-Tate theory for abelian varieties with endomorphisms R.\ E. Kottwitz, Points on some Shimura varieties over finite fields, J. Amer. Math. Soc. 5 (1992), no. 2, 373-444.
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). singular moduli space for rank 2 vector bundles DOI: 10.1515/form.1996.8.397
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). cubic hypersurfaces; Weil's conjectures; finite fields; Fano varieties; intermediate Jacobian; irrational varieties
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). elliptic curves; Selmer group; Mordell-Weil rank
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). varieties over a local field; Néron models; arithmetical graphs; discrete valuation ring; Jacobian; abelian variety; group of components Lorenzini, D., Reduction of points in the group of components of the Néron model of a Jacobian, J. Reine Angew. Math., 527, 117-150, (2000)
0
rank varieties; determinantal varieties; skewsymmetric tensors O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). algebraic cycles; Chow groups; pure motives; singular varieties; Hodge conjecture Laterveer, R.: Correspondences and singular varieties. To appear in Monatshefte für Mathematik
0