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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 Stückrad [Stückrad and Vogel 87] J., Math. Ann. 276 (2) pp 341-- (1987) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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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 Dalbelo, T.M.; Grulha, N.G.; Pereira, M.S., Toric surfaces, vanishing Euler characteristic and Euler obstruction of a function, Ann. Fac. Sci. Toulouse Math. (6), 24, 1-20, (2015) Singularities in algebraic geometry, Local complex singularities, Toric varieties, Newton polyhedra, Okounkov bodies, 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 DOI: 10.1515/crll.1993.444.101 Linkage, Plane and space curves, 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 Polynomial rings and ideals; rings of integer-valued polynomials, Determinantal varieties, Ideals and multiplicative ideal theory in commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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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 Birational geometry, Seminormal rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities 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 Roberts, L. G.; Singh, B.: Seminormality and cohomology of projective varieties. J. algebra 103, 500-519 (1986) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, General commutative ring 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 Adjunction problems, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Varieties and morphisms, Divisors, linear systems, invertible sheaves
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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 odd \(c_2\) on projective space, Izv. Math., 76, 991-1073, (2012) 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
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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 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Local cohomology and commutative rings, 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Rational and unirational 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 Patil D.P.: Minimal sets of generators for the relation ideal of certain monomial curves. Manuscr. Math. 80, 239--248 (1993) Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Polynomial rings and ideals; rings of integer-valued polynomials
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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. Alzati, Special linear systems and syzygies, Collect. Math., 59:239-254, 2008. Rational and birational maps, 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 L. Le Bruyn and G. Seelinger, Fibers of generic Brauer--Severi schemes, J. Algebra, 214 (1999), 222--234.Zbl 0932.16025 MR 1684876 and Applied Mathematics, 290, Chapman and Hall, 2008.Zbl 1131.14006 MR 2356702 Trace rings and invariant theory (associative rings and algebras), Representations of quivers and partially ordered sets, Brauer groups (algebraic aspects), Rings arising from noncommutative 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 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Étale and other Grothendieck topologies and (co)homologies
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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 Herzog, J., Vasconcelos, W., Villareal, R. (1985). Ideals with sliding depth. Nagoya Mathematical Journal, 99, 159--172. Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Ideals and multiplicative ideal theory in commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Dimension theory, depth, related commutative rings (catenary, etc.)
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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 Andreatta, M.--Ballico, E.:On the adjunction process over a surface in char. p: the singular case, J. reine angew. Math. (to appear) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities in algebraic geometry, Local ground fields in algebraic geometry, Special surfaces
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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 Hartshorne, R.: Generalized divisors on Gorenstein schemes. In: Proceedings of Conference on Algebraic Geometry and Ring Theory in honor of Michael Artin, Part III (Antwerp, 1992), \textbf{8}, pp.~287-339 (1994) Divisors, linear systems, invertible sheaves, Linkage, Vector bundles on curves and their moduli, Linkage, complete intersections and determinantal ideals, 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 Roggero, M, Laudal-type theorems in \({ P}^N\), Indag. Math. (N.S.), 14, 249-262, (2003) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Vanishing theorems in algebraic geometry, \(3\)-folds, \(n\)-folds (\(n>4\))
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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 P. De Poi, F. Zucconi, Fermat hypersurfaces and subcanonical curves, arXiv:0908.0522. Special divisors on curves (gonality, Brill-Noether theory), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 DOI: 10.1016/j.jpaa.2010.09.008 Linkage, complete intersections and determinantal ideals, 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 Mora, T.: Gröbner duality and multiple points in linearly general position. Proc. amer. Math. soc. 125, No. 5, 1273-1282 (1997) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Multiplicity theory and related topics, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Polynomial rings and ideals; rings of integer-valued polynomials
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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, Parametrization (Chow and Hilbert schemes)
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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 Brodmann, M., Cohomology of Standard Blowing-up, Journal of Algebra 143 (1991) 401--435 Classical real and complex (co)homology in algebraic geometry, Rational and birational maps, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Singularities 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 Homological functors on modules of commutative rings (Tor, Ext, etc.), Determinantal varieties, Local cohomology 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 Ye, Q. On Gorenstein log del Pezzo surfaces,Japan. J. Math. (N.S.) 28(1), 87--136, (2002). Rational and ruled surfaces, Complex surface and hypersurface singularities, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities of surfaces or higher-dimensional 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 Ron Donagi, Spectral covers, Current topics in complex algebraic geometry (Berkeley, CA, 1992/93) Math. Sci. Res. Inst. Publ., vol. 28, Cambridge Univ. Press, Cambridge, 1995, pp. 65 -- 86. Vector bundles on curves and their moduli, Picard groups, Determinantal varieties, Coverings 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 \beginbarticle \bauthor\binitsC. \bsnmHuneke and \bauthor\binitsB. \bsnmUlrich, \batitleThe structure of linkage, \bjtitleAnn. of Math. (2) \bvolume126 (\byear1987), page 277-\blpage334. \endbarticle \OrigBibText C. Huneke and B. Ulrich, The structure of linkage, Ann. of Math. 126 (1987), 277-334. \endOrigBibText \bptokstructpyb \endbibitem Ideals and multiplicative ideal theory in commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Homological methods in commutative ring theory, Deformations and infinitesimal methods in commutative ring 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 Klimek, J.; Kraskiewicz, W.; Shimozono, M.; Weyman, J.: On the Grothendieck group of modules supported in a nilpotent orbit in the Lie algebra \(gl(n)\). J. pure appl. Algebra 153, 237-261 (2000) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Representation theory for linear algebraic groups, Grothendieck groups, \(K\)-theory and commutative rings, Determinantal varieties, Classical real and complex (co)homology in algebraic geometry, Group actions on varieties or schemes (quotients)
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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: 10.4134/JKMS.2002.39.6.821 Group actions on varieties or schemes (quotients), Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Multilinear algebra, tensor calculus, Geometric invariant theory, Parametrization (Chow and Hilbert schemes)
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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 R. Miró-Roig, On the theorem of Castelnuovo for Buchsbaum curves, Preprint. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special algebraic curves and curves of low genus, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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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 Thien, P. V.: Sharp upper bound for the regularity index of zero-schemes of double points in P4, Commun. algebra 30, 5825-5847 (2002) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 Boij, M., Gorenstein Artin algebras and points in projective space, Bull. Lond. Math. Soc., 31, 1, 11-16, (1999) Cohen-Macaulay modules, Commutative Artinian rings and modules, finite-dimensional algebras, Syzygies, resolutions, complexes and commutative rings, 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 Guardo, E.; Marino, L.; Van Tuyl, A., Separators of fat points in \(\mathbb{P}^n\), J. algebra, 324, 1492-1512, (2010) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative 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 Determinantal varieties, Canonical forms, reductions, classification, Algebraic combinatorics
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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.), Other special types of modules and ideals in commutative 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 Linkage, complete intersections and determinantal ideals, Determinantal varieties, Semigroups
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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: 10.1016/0021-8693(89)90055-0 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special algebraic curves and curves of low genus
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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. Kustin, C. Polini and B. Ulrich. Rational normal scrolls and the defining equations of Rees algebras. J. Reine Angew. Math., 650 (2011), 23--65. Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Solving polynomial systems; resultants
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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 Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Rational and birational maps
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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 Narasimhan, H.: The irreducibility of ladder determinantal varietiés. J. algebra 102, 162-185 (1986) 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 H. S. PARK, The Chow rings and GKZ-decompositions for (^-factorial toric varieties, Thoku Math J. 45 (1993), 109-145. Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Parametrization (Chow and Hilbert schemes), Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), 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), Group actions on varieties or schemes (quotients), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Actions of groups on commutative rings; invariant theory, Cohen-Macaulay modules, Commutative rings and modules of finite generation or presentation; number of generators
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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 [Y2] Yuzvinsky, S.: Flasque sheaves on posets and Cohen-Macaulay unions of regular varieties. Adv. Math.73, 24--42 (1989) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 Sudhir R. Ghorpade, Abhyankar's work on Young tableaux and some recent developments, Algebraic geometry and its applications (West Lafayette, IN, 1990) Springer, New York, 1994, pp. 215 -- 249. Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Rings with straightening laws, Hodge algebras
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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 C. Raicu, Secant varieties of Segre-Veronese varieties, Algebra Number Theory 6 (2012), no. 8, 1817-1868. Homogeneous spaces and generalizations, Determinantal varieties, 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 Le Potier, J. , Fibré déterminant et courbes de saut sur les surfaces algébriques , in '' Complex Projective Geometry ,'' Cambridge University Press. Determinantal varieties, Algebraic moduli problems, moduli of vector bundles, 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 DOI: 10.1023/A:1001704003619 Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Cohen-Macaulay modules, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 Casnati, G.; Notari, R., On the Gorenstein locus of some punctual Hilbert schemes, \textit{J. Pure Appl. Algebra}, 213, 2055-2074, (2009) Parametrization (Chow and Hilbert schemes), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 Glassbrenner, D., The Cohen-Macaulay property and \textit{F}-rationality in certain rings of invariants, J. algebra, 176, 824-860, (1995) Geometric invariant theory, Polynomial rings and ideals; rings of integer-valued polynomials, Group actions on varieties or schemes (quotients), Rational points, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Actions of groups on commutative rings; invariant 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 M MIYANISHI, An algebro-topological characterization of the affine space of dimension three, Amer J Mat 106(1984), 1469-1486 JSTOR: Families, moduli, classification: algebraic theory, \(3\)-folds, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Varieties and morphisms, Rational and unirational 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 Skrzyński, M., On basic geometric properties of the cones of nilpotent matrices, Univ. Iagel. Acta Math., 33, 219-228, (1996) Positive matrices and their generalizations; cones of matrices, Real algebraic sets, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hermitian, skew-Hermitian, and related matrices
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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 Wehler, J.: Der relative Dualitätssatz für Cohen-Macaulay Räume. In preparation. Duality theorems for analytic spaces, Analytic sheaves and cohomology groups, 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 D. Faenzi, M. L. Fania, On the Hilbert scheme of varieties defined by maximal minors. \textit{Math. Res. Lett}. 21 (2014), 297-311. MR3247058 Zbl 1304.14063 Determinantal varieties, Parametrization (Chow and Hilbert schemes), Families, moduli, classification: algebraic theory, Complete intersections
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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.; Patnott, M., Minimal free resolutions of general points lying on cubic surfaces in \(\mathbb{P}^3\), J. pure appl. algebra, 215, 7, 1737-1746, (2011) Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Linkage, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Commutative Artinian rings and modules, finite-dimensional algebras
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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. Draisma and R.\ H. Eggermont, Finiteness results for Abelian tree models, J. Eur. Math. Soc. (JEMS) 17 (2015), no. 4, 711-738. Commutative Noetherian rings and modules, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Determinantal varieties, Multilinear algebra, tensor calculus, Applications of statistics to biology and medical sciences; meta analysis
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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 Uwe Nagel and Peter Schenzel, Cohomological annihilators and Castelnuovo-Mumford regularity, Commutative algebra: syzygies, multiplicities, and birational algebra (South Hadley, MA, 1992) Contemp. Math., vol. 159, Amer. Math. Soc., Providence, RI, 1994, pp. 307 -- 328. Local cohomology and algebraic geometry, Local cohomology and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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), Plane and space curves, 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Fano varieties, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), \(3\)-folds
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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 Chandler K.A.: Linear systems of cubics singular at general points of projective space. Compositio Math. 134, 269--282 (2002) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems 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 A. Geramita, M. Kreuzer, and L. Robbiano, \textit{Cayley-Bacharach schemes and their canonical modules}, Trans. Amer. Math. Soc., 399 (1993), pp. 163--189, . Schemes and morphisms, Plane and space curves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Relevant commutative algebra, Projective techniques in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special varieties, Computational aspects 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 Migliore, J. C., Introduction to Liaison Theory and Deficiency Modules, 165, (1998), Birkhäuser Boston Inc.: Birkhäuser Boston Inc., Boston, MA Linkage, Linkage, complete intersections and determinantal ideals, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 Sottile, Frank; Sturmfels, Bernd, A sagbi basis for the quantum Grassmannian, J. Pure Appl. Algebra, 158, 2-3, 347-366, (2001) Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rings with straightening laws, Hodge algebras, 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 Singularities of surfaces or higher-dimensional varieties, Determinantal varieties, Semialgebraic sets and related spaces, Computational aspects of algebraic surfaces, Convex sets in \(3\) dimensions (including convex surfaces), Topology of real algebraic varieties, Semidefinite programming
| 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, Low codimension problems 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 Singularities in algebraic geometry, Determinantal varieties, Local complex singularities, Modifications; resolution of singularities (complex-analytic 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Multiplicity theory and related topics, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, Infinitesimal methods 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 S. S. Abhyankar, Enumerative Combinatorics of Young Tableaux, Marcel Dekker, New York, 1988. Research exposition (monographs, survey articles) pertaining to combinatorics, Exact enumeration problems, generating functions, Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Factorials, binomial coefficients, combinatorial functions, Polynomial rings and ideals; rings of integer-valued polynomials
| 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 Andreatta, M., The stable adjunction map on Gorenstein varieties. Math. Ann.275 (1986), 305-315 Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Rational and birational maps
| 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 Danila, Gentiana, Sections du fibré déterminant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif, Ann. Inst. Fourier (Grenoble), 50, 5, 1323-1374, (2000) Algebraic moduli problems, moduli of vector bundles, Determinantal varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
| 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 Bilodeau, Josée, Auslander algebras and simple plane curve singularities.Representations of algebras and related topics, Fields Inst. Commun. 45, 99-107, (2005), Amer. Math. Soc., Providence, RI Cohen-Macaulay modules, Singularities in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities of surfaces or higher-dimensional 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), Divisors, linear systems, invertible sheaves
| 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. D. Hauenstein, C. Ikenmeyer, and J. M. Landsberg, \textit{Equations for lower bounds on border rank}, Exp. Math., 22 (2013), pp. 372--383. Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Determinantal varieties, Symbolic computation and algebraic computation
| 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 Bates, DJ; Oeding, L, Toward a salmon conjecture, Exp Math, 20, 358-370, (2011) Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory, Determinantal varieties, Representation theory for linear algebraic groups, Vector and tensor algebra, theory of invariants, Multilinear algebra, tensor calculus, Numerical computation of solutions to systems of equations, Symbolic computation and algebraic computation, Computational aspects 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 Miller, E., \textit{Cohen-Macaulay quotients of normal semigroup rings via irreducible resolutions}, Math. Res. Lett., 9, 117-128, (2002) Syzygies, resolutions, complexes and commutative rings, Cohen-Macaulay modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), General theory of spectral sequences in algebraic topology, Toric varieties, Newton polyhedra, Okounkov bodies, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, 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 N. Hitchin, Vector bundles and the icosahedron. In: \textit{Vector bundles and complex geometry}, volume 522 of \textit{Contemp}. \textit{Math}., 71-87, Amer. Math. Soc. 2010. MR2681722 Zbl 1227.14036 Elliptic curves, Vector bundles on curves 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 Flaminio Flamini, Towards an inductive construction of self-associated sets of points, Matematiche (Catania) 53 (1998), no. suppl., 33 -- 41 (1999). Pragmatic 1997 (Catania). Projective techniques 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 Chandler, K. A., Regularity of the powers of an ideal, \textit{Commun. Algebra}, 25, 3773-3776, (1997) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Ideals and multiplicative ideal theory in commutative rings, Projective and enumerative algebraic geometry, Vanishing theorems 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 Vector spaces, linear dependence, rank, lineability, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Algebraic systems of matrices
| 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 Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Real algebraic and real-analytic geometry, Proceedings, conferences, collections, etc. pertaining to commutative algebra, Real algebra, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Solving polynomial systems; resultants, Determinantal varieties, Computational aspects of algebraic curves, Combinatorial optimization
| 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 Jürgen Herzog, Ngô Viêt Trung, and Giuseppe Valla, On hyperplane sections of reduced irreducible varieties of low codimension, J. Math. Kyoto Univ. 34 (1994), no. 1, 47 -- 72. Low codimension problems in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, 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 Kreuzer, M.: Some applications of the canonical module of a 0-dimensional scheme. Zero-dimensional schemes, proc. Conf. ravello 1992, 243-252 (1994) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Plane and space curves, Intersection theory, characteristic classes, intersection multiplicities 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 Ogata, S.; Nakagawa, K., On generators of ideals defining projective toric varieties, Manuscripta Mathematica, 108, 33-42, (2002) Toric varieties, Newton polyhedra, Okounkov bodies, 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 Rodriguez, Jose Israel; Wang, Botong: The maximum likelihood degree of rank 2 matrices via Euler characteristics Point estimation, Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Determinantal varieties, Applications of mathematical programming
| 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. Dale Cutkosky and Jürgen Herzog, Cohen-Macaulay coordinate rings of blowup schemes, Comment. Math. Helv. 72 (1997), no. 4, 605 -- 617. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Other special types of modules and ideals in commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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 Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Combinatorial aspects of commutative algebra, 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 N. Hara, K.-i. Watanabe and K.-i. Yoshida, Rees algebras of \(F\)-regular type, J. Algebra 247 (2002), 191--218. Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Nagoya Math. Journal 131 pp 109-- (1993) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Surfaces and higher-dimensional varieties, Étale and other Grothendieck topologies and (co)homologies, 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 Ngô Viá»\?t Trung, Bounds for the minimum numbers of generators of generalized Cohen-Macaulay ideals, J. Algebra 90 (1984), no. 1, 1 -- 9. Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Multiplicity theory and related topics, 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 Buckles, M.; Guardo, E.; Van Tuyl, A.: Fat points on a grid in P2, Matematiche (Catania) 55, 169-189 (2000) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), 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 Arcs and motivic integration, Determinantal varieties, Minimal model program (Mori theory, extremal rays), 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 Panyushev, D.: The structure of the canonical module and the Gorenstein property for some prehomogeneous varieties. Math. USSR, Sb.65, 81-95 (1990) Homogeneous spaces and generalizations, 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 Divisors, linear systems, invertible sheaves, Low codimension problems in algebraic geometry, 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 Levine, M.: Localization on singular varieties. Invent. Math. 91, 423--464 (1988) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), 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 Set-valued and variational analysis, Numerical mathematical programming methods, Nonconvex programming, global optimization, Nonsmooth analysis, Determinantal varieties, Norms of matrices, numerical range, applications of functional analysis to matrix theory
| 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 V. Kanev,special line bundles on curves with involution, Math. Z.222 (1996), 213--229. Vector bundles on curves and their moduli, Determinantal varieties, Picard groups, Jacobians, Prym varieties, Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves
| 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. Lang : Locally factorial generic Zariski surfaces are factorial . J. Alg., to appear. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special surfaces, Singularities of surfaces or higher-dimensional 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 Abhyankar, S. S.: Combinatoire des tableaux de Young, variétés déterminantielles et calcul de fonctions de Hilbert. Rend. sem. Mat. univ. Politec. Torino 42, 65-88 (1984) Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Exact enumeration problems, generating functions, Enumerative 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 A. Constantinescu, ?Some analytic and topological interpretations of the finite generation of complex subalgebras. Ill,? Stud. Cerc. Mat.,38, No. 6, 511?515 (1986). Commutative rings and modules of finite generation or presentation; number of generators, Graded rings and modules (associative rings and algebras), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Commutative Artinian rings and modules, finite-dimensional algebras
| 0
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