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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Vanishing theorems in algebraic geometry, Singularities in algebraic geometry, Vanishing theorems, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Sturmfels, B.; Zelevinsky, A., Multigraded resultants of Sylvester type, J. Algebra, 163, 115, (1994) Polynomial rings and ideals; rings of integer-valued polynomials, Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Parametrization (Chow and Hilbert schemes), Plane and space curves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Multiplicity theory and related topics, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Relevant commutative algebra, Polynomial rings and ideals; rings of integer-valued polynomials, Global theory and resolution of singularities (algebro-geometric aspects)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties T.de Jong, Determinantal Rational Surface Singularities.Comp. Math. 113 (1998), 73--96. Singularities of surfaces or higher-dimensional varieties, Determinantal varieties, Rational and unirational varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties E. Ballico,On the projections of canonical curves, Proc. Kon. Nec. Akad. W.,91 (1988), pp. 101--109. Projective techniques in algebraic geometry, Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Aramova, A. G., Symmetric products of Gorenstein varieties, J. Algebra 146 (1992), 482--496. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Group actions on varieties or schemes (quotients), Symmetric groups
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties DOI: 10.1016/0378-3758(95)00156-5 Combinatorial aspects of representation theory, Determinantal varieties, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Factorials, binomial coefficients, combinatorial functions, Exact enumeration problems, generating functions, Linkage, complete intersections and determinantal ideals, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Grassmannians, Schubert varieties, flag manifolds
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Gorla, E., Symmetric ladders and G-biliaison, (Alonso, M. E.; Arrondo, E.; Mallavibarrena, R.; Sols, I., Liaison, Schottky Problem and Invariant Theory -- Remembering Federico Gaeta, Progress in Mathematics, vol. 280, (2010), Birkhäuser), 49-62 Linkage, complete intersections and determinantal ideals, Linkage, Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Plane and space curves, Formal neighborhoods in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Michiel Hazewinkel, Operations in the \?-theory of endomorphisms, J. Algebra 84 (1983), no. 2, 285 -- 304. Grothendieck groups, \(K\)-theory and commutative rings, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Determinantal varieties, Algebraic methods
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Göttsche, L.: Hilbert schemes of zero-dimensional subschemes of smooth varieties. Lect. Notes Math. vol. 1572, Berlin Heidelberg New York: Springer 1993 Parametrization (Chow and Hilbert schemes), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Algebraic cycles, Algebraic moduli problems, moduli of vector bundles
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Aït Amrane, S, Sur le schéma de Hilbert des courbes de degré \(d\) et genre\((d-3)(d-4)/2\) de \(\mathbf{P}^3_k\), C. R. Acad. Sci. Paris Sér. I Math., 326, 851-856, (1998) Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Parametrization (Chow and Hilbert schemes)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Parametrization (Chow and Hilbert schemes), Plane and space curves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Chung, K; Lee, W, Twisted cubic curves in the Segre variety, C. R. Math., 353, 1123-1127, (2015) Families, moduli of curves (algebraic), Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Linkage, complete intersections and determinantal ideals, Combinatorial aspects of commutative algebra, Linkage, Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties M. Gross and S. Popescu, \textit{Calabi-Yau threefolds and moduli of Abelian surfaces. 1.}, math/0001089 [INSPIRE]. Algebraic moduli of abelian varieties, classification, Calabi-Yau manifolds (algebro-geometric aspects), Rational and unirational varieties, Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Marcel, M., Dung, N.T.: Castelnuovo-Mumford regularity of classical rings and Veronese transform. Preprint (2013) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Toric varieties, Newton polyhedra, Okounkov bodies, Cohen-Macaulay modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Rational and ruled surfaces, Complete intersections
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Francisco, CA; Migliore, J; Nagel, U, On the componentwise linearity and the minimal free resolution of a tetrahedral curve, J. Algebra, 299, 535-569, (2006) Syzygies, resolutions, complexes and commutative rings, Curves in algebraic geometry, Projective and free modules and ideals in commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Special surfaces, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Projective techniques in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Humphries, S., Action of braid groups on determinantal ideals, compact spaces and a stratification of Teichmüller space, Invent. math., 144, 451-505, (2001) Braid groups; Artin groups, Determinantal varieties, Other groups related to topology or analysis, Fuchsian groups and their generalizations (group-theoretic aspects), Semialgebraic sets and related spaces, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Teichmüller theory for Riemann surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Furukawa, Katsuhisa, Defining ideal of the Segre locus in arbitrary characteristic, J. Algebra, 0021-8693, 336, 84-98, (2011) Projective techniques in algebraic geometry, Determinantal varieties
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Raicu, C., Weyman, J.: The syzygies of some thickenings of determinantal varieties. arXiv:1411.0151v1 Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Local cohomology and commutative rings, Determinantal varieties, Linkage, complete intersections and determinantal ideals
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties J. Migliore,Geometric Invariants for Liaison of Space Curves, J. Alg. 99 (1986), 548--572. Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Determinantal varieties, Complex surface and hypersurface singularities
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Giuffrida, S; Maggioni, R; Ragusa, A, On the postulation of \(0\)-dimensional subschemes on a smooth quadric, Pac. J. Math., 155, 251-282, (1992) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Algebraic topology on manifolds and differential topology, Singularities of surfaces or higher-dimensional varieties, Complex singularities, Local complex singularities, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory, Stable homotopy of spheres
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Van Tuyl, A.: An appendix to a paper of Catalisano, Geramita, Gimigliano: the Hilbert function of generic sets of 2-fat points in \$\$\{\{\(\backslash\)mathbb P\}\^1\(\backslash\)times \{\(\backslash\)mathbb P\}\^1\}\$\$ . In: Projective Varieties with Unexpected Properties, pp. 109--112. de Gruyter, Berlin (2005) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Boyan Jonov, Shellability of a complex associated to the first order jet scheme of a determinantal variety, in preparation. Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Determinantal varieties, Linkage, complete intersections and determinantal ideals
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Other classes of modules and ideals in associative algebras, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Samuel, P.: ''Méthodes d'algèbre abstraite en géométrie algébrique.'' Ergebnisse der Mathematik und ihrer Grenzgebiete, Heft 4. Springer, Berlin (1955). (17,300b) Multiplicity theory and related topics, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Gonciulea, N.; Miller, C., Mixed ladder determinantal varieties, \textit{J. Algebra}, 231, 1, 104-137, (2000) Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Linkage, complete intersections and determinantal ideals, Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties DOI: 10.1016/S0022-4049(99)00146-2 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Determinantal varieties, Curves in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Mehta, V.; Srinivas, V.: A note on Schubert varieties in G/B. Math. ann. 284, 1-5 (1989) Grassmannians, Schubert varieties, flag manifolds, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Katz-D, S.: Morrison, Gorenstein threefold singularities with small resolutions. J. Algebraic Geom. 1, 449--530 (1992) \(3\)-folds, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complex surface and hypersurface singularities
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties DOI: 10.1081/AGB-120015647 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Semigroup rings, multiplicative semigroups of rings
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Boffi, G.; Sánchez, R.: Some classical formulas and a determinantal ideal. Seminari di geometria (1989) Linkage, complete intersections and determinantal ideals, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties M. Chan and N. Ilten, \textit{Fano schemes of determinants and permanents}, Algebra Number Theory, 9 (2015), pp. 629--679, . Configurations and arrangements of linear subspaces, Parametrization (Chow and Hilbert schemes), Determinants, permanents, traces, other special matrix functions, Infinitesimal methods in algebraic geometry, Determinantal varieties, Fano varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Zappalà G.,0-dimensional subschemes of curves lying on a smooth quadric surface, Le Mathematiche,52 (1997), 115--127. Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Plane and space curves
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Grassmannians, Schubert varieties, flag manifolds, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Determinantal varieties, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Equivariant homology and cohomology in algebraic topology
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Computational aspects and applications of commutative rings, Algebraic combinatorics
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties \(3\)-folds, Singularities of surfaces or higher-dimensional varieties, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), \(n\)-folds (\(n>4\))
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Hideyasu Sumihiro, Determinantal varieties associated to rank two vector bundles on projective spaces and splitting theorems, Hiroshima Math. J. 29 (1999), no. 2, 371 -- 434. Determinantal varieties, Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Surfaces of general type, \(3\)-folds, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Félix Delgado de la Mata, ``Gorenstein curves and symmetry of the semigroup of values'', Manuscr. Math.61 (1988) no. 3, p. 285-296 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities of curves, local rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties M. Miyanishi and D.-Q. Zhang, ''Gorenstein log del Pezzo surfaces of rank one,'' J. Algebra 118(1), 63--84 (1988). Special surfaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Coverings in algebraic geometry, Families, moduli, classification: algebraic theory
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties A. A. Beilinson ''Localization of Representations of Reductive Lie Algebras,'' in Proc. IMC (Warsaw, 1983) (PWN, Warsaw, 1984), pp. 699--710. Representation theory for linear algebraic groups, Simple, semisimple, reductive (super)algebras, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Classical groups (algebro-geometric aspects), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Casanellas, M., The minimal resolution conjecture for points on the cubic surface, Can. J. Math., 61, 29-49, (2009) Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Linkage, Low codimension problems in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Determinantal varieties, Linkage, complete intersections and determinantal ideals
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties M.-C. Chang, The number of components of Hilbert schemes. \textit{Internat. J. Math}. 7 (1996), 301-306. MR1395932 Zbl 0892.14006 Parametrization (Chow and Hilbert schemes), Low codimension problems in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Danila, Gentiana, Résultats sur la conjecture de dualité étrange sur le plan projectif, Bull. Soc. Math. France, 130, 1, 1-33, (2002) Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Morphisms of commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Projective techniques in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Martin Kreuzer, On 0-dimensional complete intersections, The Curves Seminar at Queen's, Vol. VII (Kingston, ON, 1990) Queen's Papers in Pure and Appl. Math., vol. 85, Queen's Univ., Kingston, ON, 1990, pp. Exp. No. J, 18. Complete intersections, Algebraic cycles, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Schenzel P., Examples of Gorenstein domains and symbolic powers of monomial space curves (1989) Plane and space curves, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties S. Sabourin, Generalized O-sequences and Hilbert functions of points, J. Algebra, January 2004, accepted. Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Franceschini, S; Lorenzini, A, Fat points of \(\mathbb{P}^n\) whose support is contained in a linear proper subspace, J. Pure Appl. Algebra, 160, 169-182, (2001) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties De Poi, P.; Zucconi, F.: Gonality, apolarity, and hypercubics Special divisors on curves (gonality, Brill-Noether theory), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties I. Vainsencher and F. Xavier. Numbers for reducible cubic scrolls. Anais da Academia Brasileira de Ciências, 76(4) (2004), 645--650. Projective techniques in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Migliore, J.: Families of reduced zero-dimensional schemes. Collect. math. 57, No. 2, 173-192 (2006) Syzygies, resolutions, complexes and commutative rings, Parametrization (Chow and Hilbert schemes), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Enright, T.J., Hunziker, M.: Resolutions and Hilbert series of the unitary highest weight modules of the exceptional groups. Representat. Theory 8, 15--51 (2004) (electronic). MR MR2048586 (2004m:17007) Semisimple Lie groups and their representations, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Determinantal varieties, Syzygies, resolutions, complexes and commutative rings
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties W. Fulton, ``Flags, Schubert polynomials, degeneracy loci, and determinantal formulas'', Duke Math. J. 65 (1992), 381--420. Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Linkage, complete intersections and determinantal ideals
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties A. V. Geramita, T. Harima and Y. S. Shin, Decompositions of the Hilbert function of a set of points in \(\mathbb{P}^n\), Canad. J. Math. 53 (2001), 923--943. Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Complete intersections, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties E. Guardo, A. Van Tuyl, Powers of complete intersections: Graded Betti numbers and applications, Illinois J. Math., in press Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Projective and free modules and ideals in commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Barile M.: On the number of equations defining certain varieties. Manuscripta Math. 91, 483--494 (1996) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Jouanolou, J.P., Aspects invariants de l'élimination, Adv. math., 114, 1, 1-174, (1995) Actions of groups on commutative rings; invariant theory, Determinantal varieties, Polynomials over commutative rings, Complete intersections, Vector and tensor algebra, theory of invariants
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Commutative rings of differential operators and their modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Derivations, actions of Lie algebras
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Knop, F., Über die glattheit von quotientenabbildungen, Manuscr. Math., 56, 419-427, (1986) Group actions on varieties or schemes (quotients), Local structure of morphisms in algebraic geometry: étale, flat, etc., Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Geometric invariant theory, Homogeneous spaces and generalizations, Linear algebraic groups over adèles and other rings and schemes, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties D. Eisenbud and J.-H. Koh, ''Remarks on points in a projective space,'' in Math. Sci. Res. Inst. Publ. Berkeley, CA, 1987, Vol. 15: Commutative Algebra (Springer, New York, 1989), pp. 157--172. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, Global theory and resolution of singularities (algebro-geometric aspects)
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Topological properties in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Mei-Chu Chang, Some remarks on Buchsbaum bundles, J. Pure Appl. Algebra 152 (2000), no. 1-3, 49 -- 55. Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties G. Fløystad, J. Kileel and G. Ottaviani, \textit{The Chow variety of the essential variety in computer vision}, arXiv:1604.04372 (2016). Machine vision and scene understanding, Cohen-Macaulay modules, Syzygies, resolutions, complexes and commutative rings, Parametrization (Chow and Hilbert schemes), Determinantal varieties, Computational aspects of higher-dimensional varieties
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Étale and other Grothendieck topologies and (co)homologies, Projective techniques in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Software, source code, etc. for problems pertaining to commutative algebra, Seminormal rings, Integral closure of commutative rings and ideals, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Rings of differential operators (associative algebraic aspects), Group actions on varieties or schemes (quotients), Geometric invariant theory, Sheaves of differential operators and their modules, \(D\)-modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties J. Huh and B. Sturmfels, \textit{Likelihood geometry}, in Combinatorial Algebraic Geometry, Lecture Notes in Math. 2108, Springer, Cham, 2014, pp. 63--117, . Research exposition (monographs, survey articles) pertaining to algebraic geometry, Projective techniques in algebraic geometry, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties J. M. Wahl, A characterization of quasihomogeneous Gorenstein surface singularities, Compos. Math., 55 (1985), 269--288. MR799816 (87e:32013) Singularities of surfaces or higher-dimensional varieties, Modifications; resolution of singularities (complex-analytic aspects), Complete intersections, Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Nollet S.: Integral subschemes of codimension two. J. Pure Appl. Algebra 141(3), 269--288 (1999) Linkage, Determinantal varieties, Linkage, complete intersections and determinantal ideals
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Fulton W. (1999). Universal Schubert polynomials. Duke Math. J. 96(3): 575--594 Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Determinantal varieties, Characteristic classes and numbers in differential topology
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Miyazaki, Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls, Collect. Math. 56 (1) pp 97-- (2005) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Rational and unirational varieties, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Local cohomology and commutative rings, Local cohomology and algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Kleppe, J.O.: Families of artinian and low dimensional determinantal rings. arXiv:1506.08087 Linkage, complete intersections and determinantal ideals, Parametrization (Chow and Hilbert schemes), Deformations and infinitesimal methods in commutative ring theory, Determinantal varieties, Commutative Artinian rings and modules, finite-dimensional algebras, Syzygies, resolutions, complexes and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, etc.), Graded rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Combinatorial aspects of representation theory, Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Wahl, J. : '' The jacobian algebra of a graded Gorenstein singularity '', Duke Math. J. 55 (1987) 843-871. Singularities in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Duality theorems for analytic spaces, Singularities of surfaces or higher-dimensional varieties, Local complex singularities
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Applications to coding theory and cryptography of arithmetic geometry, Software, source code, etc. for problems pertaining to commutative algebra, Computational aspects of higher-dimensional varieties
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties P. PRAGACZ , Determinantal Varieties and Symmetric Polynomials (Functional Analysis and Its Applications, Vol. 21, N^\circ 3, pp. 89-90, 1987 ). MR 90h:14072a | Zbl 0633.14029 Determinantal varieties, Parametrization (Chow and Hilbert schemes), Characteristic classes and numbers in differential topology
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Geertsen J. A., Math. Z. 245 pp 155-- (2003) Linkage, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems in algebraic geometry
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Wiegand, R.: Curve singularities of finite Cohen--Macaulay type. Ark. mat. 29, 339-357 (1991) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities of curves, local rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Tikhomirov, AS, Moduli of mathematical instanton vector bundles with even \(c_2\) on projective space, Izv. Math., 77, 1195-1223, (2013) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Determinantal varieties
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Bruns, Winfried; Conca, Aldo, Linear resolutions of powers and products. Singularities and computer algebra, 47-69, (2017), Springer, Cham Syzygies, resolutions, complexes and commutative rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Determinantal varieties, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Faenzi, D, Rank \(2\) arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface, J. Algebra, 319, 143-186, (2008) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Software, source code, etc. for problems pertaining to algebraic geometry, Projective techniques in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Determinantal varieties, Low codimension problems in algebraic geometry
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Determinantal varieties, Linkage, complete intersections and determinantal ideals
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Uwe Nagel, Characterization of some projective subschemes by locally free resolutions, Commutative algebra (Grenoble/Lyon, 2001) Contemp. Math., vol. 331, Amer. Math. Soc., Providence, RI, 2003, pp. 235 -- 266. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Local cohomology and algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Syzygies, resolutions, complexes and commutative rings
| 0
|
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
| 0
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