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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 Lax, R. F.: Weierstraß weights and degeneration,Proc. Amer. Math. Soc. 101 (1987), no. 1, 8-10. Families, moduli of curves (analytic), Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization, Special algebraic curves and curves of low genus, 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 K. Chandler, Geometry of dots and ropes. Trans. Amer. Math. Soc. 347 (1995), no. 3, 767--784. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques 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 Le~Bruyn, L., Procesi, C.: The étale local structure of matrix-invariants and concomitants. In: Algebraic Groups Utrecht 1986, Springer, Berlin (1987) Determinantal varieties, Representation theory for linear algebraic groups, Matrix equations and identities, Group actions on varieties or schemes (quotients)
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 Lax, R. F., Widland, C.: Weierstrass points on rational cuspidal curves, Boll. U.M.I.2-A, 65--71 (1988) Singularities of curves, local rings, Riemann surfaces; Weierstrass points; gap sequences, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special algebraic curves and curves of low genus
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 Wiegand, R.: Singularities and direct-sum decompositions. Contemp. math. 266, 29-43 (2000) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Structure, classification theorems for modules and ideals in commutative rings, Cohen-Macaulay modules, 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 Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Local cohomology and commutative rings, Linkage, complete intersections and determinantal ideals, Local cohomology and algebraic geometry, Determinantal 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), 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 G. Fatabbi and A. Lorenzini: ''On a sharp bound for the regularity index of any set of fat points'', J. Pure Appl. Algebra, Vol. 161, (2001), pp. 91--111. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Multiplicity theory and related topics
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 Campillo, A. and Pisón, P.: Generators of a monomial curve and graphs for the associated semigroup. Bull. Soc. Math. Belg. Sér. A 45 (1993), no. 1-2, 45-58. Plane and space curves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Polynomial rings and ideals; rings of integer-valued polynomials
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 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques 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 Determinantal varieties, Solving polynomial systems; resultants, Computational aspects of higher-dimensional varieties, Complete intersections, Linkage, complete intersections and determinantal ideals, Trees
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 Mercat, V., Le problème de brill-Noether pour des fibrés stables de petite pente, J. Reine Angew. Math., 506, 1-41, (1999) Vector bundles on curves and their moduli, Determinantal varieties, Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles
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 Geramita, A. V.; Migliore, J.: Reduced Gorenstein codimension three subschemes of projective space. Proc. amer. Math. soc. 125, 943-950 (1997) Low codimension problems in algebraic geometry, Cohen-Macaulay modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, 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 J. M. Landsberg, \textit{Tensors: Geometry and Applications}, American Mathematical Society, Providence, RI, 2012. Vector and tensor algebra, theory of invariants, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra, Multilinear algebra, tensor calculus, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Exterior algebra, Grassmann algebras, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, Characterization and structure theory of statistical distributions, Signal theory (characterization, reconstruction, filtering, etc.), Differential geometric aspects in vector and tensor analysis
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 Maggioni, R.; Ragusa, A.: Construction of smooth curves of P3 with assigned Hilbert function and generators' degrees. Le matematiche 42 (1987) Plane and space curves, Parametrization (Chow and Hilbert schemes), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, Linkage
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 Bauer, Th.; Szemberg, T.: The effect of points fattening in dimension three. Lond. math. Soc. lect. Note ser. 417, 1-11 (2015) Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, 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 Fernando Cukierman, Determinant of complexes and higher Hessians, Math. Ann. 307 (1997), no. 2, 225 -- 251. Special algebraic curves and curves of low genus, Complete intersections, Questions of classical algebraic geometry, Determinantal 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 Villamayor U., O. E., On flattening of coherent sheaves and of projective morphisms, J. Algebra, 295, 1, 119-140, (2006), MR 2188879 Rational and birational maps, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Symmetric functions and generalizations, Combinatorial aspects of representation theory, Classical problems, Schubert calculus, Solvable, nilpotent (super)algebras, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Determinantal 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 [A-S] M. Andreatta--A.J. Sommese, Generically ample divisors on normal Gorenstein surfaces, Contemporary Mathematics, Proc. I.M.A. Singularities, vol 90 (1989), p. 1--19 Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special surfaces
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 Johnson, M. R.; McLoud-Mann, J., On equations defining Veronese rings, Arch. Math. (Basel), 86, 3, 205-210, (2006) Determinantal varieties, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, 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 J. Elias, M.E. Rossi and G. Valla, On the coefficients of the Hilbert polynomial, J. Pure \& Applied Algebra 108 (1996), 35--60 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
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., Schenzel, P.: On varieties of almost minimal degree in small codimension. J.\(\sim\)Algebra. Math. AC/0506279 (2006) (to appear) Low codimension problems in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Sums of squares and representations by other particular quadratic forms, Real algebraic and real-analytic geometry, Variation of Hodge structures (algebro-geometric aspects), Determinantal 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 Popescu, D.: Maximal Cohen--Macaulay modules over isolated singularities. J. algebra 178, 710-732 (1995) Cohen-Macaulay modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Grassmannians, Schubert varieties, flag manifolds, 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 Abhyankar, S. S.; Joshi, S. B.: Generalized codeletion and standard multi-tableaux. Canad. math. Soc. conference Proceedings 10, 1-24 (1989) Determinantal varieties, Matrices over special rings (quaternions, finite fields, etc.), Polynomial rings and ideals; rings of integer-valued polynomials
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 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Determinantal varieties, Associated manifolds of Jordan algebras, Toeplitz operators, Hankel operators, Wiener-Hopf operators
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 Huy Tài Hà, Projective embeddings of projective schemes blown up at subschemes, Math. Z. 246 (2004), no. 1-2, 111 -- 124. Embeddings in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 Nishiyama, K.; Ochiai, H.: The Bernstein degree of singular unitary highest weight representations of the metaplectic group, Proc. Japan acad. Ser. A math. Sci. 75, 9-11 (1999) Representation-theoretic methods; automorphic representations over local and global fields, Representations of Lie and linear algebraic groups over real fields: analytic methods, Semisimple Lie groups and their representations, Determinantal varieties, Analysis on real and complex Lie groups
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 Weng, L., Regularized determinants of Laplacians for Hermitian line bundles over projective spaces, J. Math. Kyoto Univ., 35, 341-355, (1995) Riemann-Roch theorems, Determinantal varieties, Vector bundles on curves and their moduli, Characteristic classes and numbers in differential topology, Arithmetic varieties and schemes; Arakelov theory; heights, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Determinants and determinant bundles, analytic torsion
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 Fulton, W., Pragacz, P.: Schubert Varieties and Degeneracy Loci. Lecture Notes in Mathematics, vol. 1689. Springer, Berlin (1998) Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Determinantal varieties, (Equivariant) Chow groups and rings; motives
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 [32] Mary Schaps, &Deformations of Cohen-Macaulay schemes of codimension \(2\) and non-singular deformations of space curves&#xAmer. J. Math.99 (1977) no. 4, p. 669Article | &MR 4 | &Zbl 0358. Formal methods and deformations in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special algebraic curves and curves of low genus
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), Projective techniques in algebraic geometry, Relevant commutative algebra, 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 Kleppe, J.O., Miró-Roig, R.M.: On the normal sheaf of determinantal varieties. J. Reine Angew. Math. Ahead of Print Journal. ~https://doi.org/10.1515/crelle-2014-0041 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 DOI: 10.1016/S0021-8693(03)00493-9 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Local cohomology and commutative rings, Vanishing theorems 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 Idà, M.: Generators for the generic rational space curve: low degree cases. Lecture notes in pure and applied math. 206 (1999) Plane and space curves, Special algebraic curves and curves of low genus, 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 DOI: 10.1080/00927870701302099 Complete intersections, Determinantal 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 Huneke C., J. London Math. Soc 32 pp 19-- (1985) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Regular local 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 M. Haiman, ''Macdonald polynomials and geometry'' in New Perspectives in Algebraic Combinatorics (Berkeley, Calif., 1996--97) , Math. Sci. Res. Inst. Publ. 38 , Cambridge Univ. Press, Cambridge, 1999, 207--254. Symmetric functions and generalizations, Research exposition (monographs, survey articles) pertaining to combinatorics, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 Ciliberto, C.; Gennaro, V., Factoriality of certain threefolds complete intersection in P\^{}\{5\} with ordinary double points, Commun. Algebra, 32, 2705-2710, (2004) Complete intersections, Picard groups, Singularities of surfaces or higher-dimensional varieties, 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 Rüdiger Achilles and Peter Schenzel, On bounds for Castelnuovo's index of regularity, J. Math. Kyoto Univ. 29 (1989), no. 1, 91 -- 104. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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 E. Ballico and A. Cossidente, On the Hilbert function of 0-dimensional subschemes of a projective curve, preprint. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques 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 Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Determinantal varieties, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of higher-dimensional varieties, Combinatorial aspects of commutative algebra, 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 D. Eisenbud, J. Harris: An intersection bound for rank 1 loci, with applications to Castelnuovo and Clifford theory, J. Alg. Geom.1, 31--60 (1992) Determinantal varieties, Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Intersection theory, characteristic classes, intersection multiplicities 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 Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Determinantal 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 Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Trees, Local complex singularities, Stratifications; constructible sheaves; intersection cohomology (complex-analytic 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 Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Divisors, linear systems, invertible sheaves, Picard groups, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Polynomials, factorization in 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 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Determinantal 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 Linkage, complete intersections and determinantal 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 D. Murfet -- Sh. Salarian, Totally acyclic complexes over Noetherian schemes, Adv. Math. 226 (2011), pp. 1096--1133. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities in 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 A. Bigatti, A. V. Geramita, and J. C. Migliore, \textit{Geometric consequences of extremal behavior in a theorem of Macaulay}, Trans. Amer. Math. Soc., 346 (1994), pp. 203--235, . Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Schemes and morphisms
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 [An] Andreatta, M., Contraction of Gorenstein polarized varieties with high nef value, Math. Ann.300 (1994) 669--679. Minimal model program (Mori theory, extremal rays), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves
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 Loeser, F.: Faisceaux pervers, transformation de Mellin et déterminants. Mém. soc. Math. fr. 66, 1-105 (1996) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Local ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Determinantal 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 Ballico E., J. Pure and Appl. Algebra 183 pp 1-- (2003) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Plane and space curves
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 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
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, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves
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 Parametrization (Chow and Hilbert schemes), 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 Fano varieties, 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 Gel'fand, I.; Zelevinskiǐand, A.; Kapranov, M., Discriminants of polynomials in several variables and triangulations of Newton polyhedra, Algebra i Analiz, 2, 1, (1990) Toric varieties, Newton polyhedra, Okounkov bodies, Polynomial rings and ideals; rings of integer-valued polynomials, Determinantal 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 Hernández Ruipérez, D.; López Martín, A.C.; Sancho de Salas, F., Fourier-Mukai transforms for Gorenstein schemes, Adv. math., 211, 2, 594-620, (2007) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Minimal model program (Mori theory, extremal rays), 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 Li, C.: Yau-Tian-Donaldson correspondence for K-semistable Fano varieties. Journal für die reine und angewandte Mathematik (Crelles journal). arXiv:1302.6681 (\textbf{to appear}) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Ideals and multiplicative ideal theory in commutative rings, Algebraic functions and function fields 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 Ronald King and Trevor Welsh, \textit{Some remarks on characters of symmetric groups, Schur functions, Littlewood-Richardson and Kronecker coefficients}, work in progress http://congreso.us.es/enredo2009/Workshop_files/Sevilla_King.pdf. Actions of groups on commutative rings; invariant theory, Determinantal varieties, Group actions on varieties or schemes (quotients)
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 Eisenbud, David; Fløystad, Gunnar; Weyman, Jerzy, The existence of equivariant pure free resolutions, Ann. Inst. Fourier, 61, 905-926, (2011) Syzygies, resolutions, complexes and commutative rings, Cohen-Macaulay modules, Determinantal varieties, Representation theory for linear algebraic groups
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 Christian Pauly, Fibrés paraboliques de rang 2 et fonctions thêta généralisées, Math. Z. 228 (1998), no. 1, 31 -- 50 (French). Vector bundles on curves and their moduli, Theta functions and abelian varieties, Determinantal 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 Margherita Roggero, Sui sistemi lineari e il gruppo delle classi di divisori di una varietà reale, Ann. Mat. Pura Appl. (4) 135 (1983), 349 -- 362 (1984) (Italian). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Real algebraic and real-analytic geometry, Ideals and multiplicative ideal theory in commutative rings, Divisors, linear systems, invertible sheaves
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 Vitulli, M. A.: Corrections to ''seminormal rings and weakly normal varieties''. Nagoya math. J. 107, 147-157 (1987) Varieties and morphisms, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), General commutative ring theory, 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 Catalisano, MV; Geramita, AV; Gimigliano, A, On the secant varieties to the tangential varieties of a Veronesean, Proc. Am. Math. Soc., 130, 975-985, (2001) Classical problems, Schubert calculus, Determinantal varieties, Infinitesimal methods 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 Regular local rings, Polynomial rings and ideals; rings of integer-valued polynomials, Rings of fractions and localization for commutative rings, Commutative Noetherian rings and modules, Homological dimension and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, 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 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Curves in algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to 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 Ideals and multiplicative ideal theory in commutative rings, Projective and free modules and ideals in commutative rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Determinantal 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 Multilinear algebra, tensor calculus, Vector spaces, linear dependence, rank, lineability, Semialgebraic sets and related spaces, 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 Fantechi, B., Deformation of Hilbert schemes of points on a surface, Compos. Math., 98, 2, 205-217, (1995), MR 1354269 Formal methods and deformations in algebraic geometry, Parametrization (Chow and Hilbert schemes), 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 Casanellas, M.: Glicci versus glicog. Rend. sem. Mat. politec. Torino 59, 127-129 (2001) Linkage, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Lang, Jeffrey, Purely inseparable extensions of unique factorization domains, Kyoto Journal, 26 (1990) 453-471. Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Class groups
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 Schenck, H., Resonance varieties via blowups of \(\mathbb{P}^2\) and scrolls, Int. Math. Res. Not. IMRN, 20, 4756-4778, (2011) Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, Pencils, nets, webs in algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Determinantal 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 Linkage, complete intersections and determinantal ideals, Cohen-Macaulay modules, Determinantal 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 Suciu, A. I., Translated tori in the characteristic varieties of complex hyperplane arrangements, Topology Appl. 118 (2002), 209--223. Relations with arrangements of hyperplanes, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Determinantal varieties, Fundamental group, presentations, free differential calculus
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 Pragacz, Piotr, Enumerative geometry of degeneracy loci, Ann. Sci. École Norm. Sup. (4), 21, 3, 413-454, (1988) Enumerative problems (combinatorial problems) in algebraic geometry, Determinantal varieties, Singularities in algebraic geometry, Characteristic classes and numbers in differential topology
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 Catalisano, M.V., Geramita, A.V., Gimigliano, A.: On the rank of tensors, via secant varieties and fat points, zero-dimensional schemes and applications (Naples, 2000). Queen's Papers in Pure and Appl. Math., vol. 123, pp. 133--147. Queen's University, Kingston (2002) Vector and tensor algebra, theory of invariants, Multilinear algebra, tensor calculus, 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 Ahn, J., Migliore, J.: Some geometric results arising from the Borel fixed property. J. Pure Appl. Algebra 209, 337--360 (2007) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Structure, classification theorems for modules and ideals in 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), Divisors, linear systems, invertible sheaves, Plane and space curves, Special surfaces
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 K. Chandler: ''A brief proof of a maximal rank theorem for generic double points in projective space'', Trans. Amer. Math. Soc., Vol. 353(5), (2000), pp. 1907--1920. Singularities of surfaces or higher-dimensional varieties, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Singularities in algebraic geometry, Hypersurfaces and 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Schemes and morphisms
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 Auslander, M., Reiten, I.: The Cohen--Macaulay type of Cohen--Macaulay rings. Adv. Math. 73(1), 1--23 (1989) Cohen-Macaulay modules, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete rings, completion, Polynomial rings and ideals; rings of integer-valued polynomials, 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 Singularities of surfaces or higher-dimensional varieties, Determinantal varieties, Projective techniques 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 Lazarsfeld, R.: Some applications of the theory of positive vector bundles. (Lect. Notes Math., vol. 1092, pp. 29--61). Berlin Heidelberg New York: Springer 1984 Homotopy theory and fundamental groups in algebraic geometry, Determinantal 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 \beginbchapter \bauthor\binitsB. \bsnmUlrich, \bctitleTheory and applications of universal linkage, \bbtitleCommutative algebra and combinatorics (\bconflocationKyoto, \bconfdate1985), \bsertitleAdv. Stud. Pure Math., vol. \bseriesno11, \bpublisherNorth-Holland, \blocationAmsterdam, \byear1987. \endbchapter \OrigBibText B. Ulrich, Theory and applications of universal linkage, Commutative Algebra and Combinatorics, (Kyoto, 1985) , 285-301, Adv. Stud. Pure Math. 11, North-Holland, Amsterdam, 1987. \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)
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 Cutkosky, S. D., \textit{symbolic algebras of monomial primes}, J. Reine Angew. Math., 416, 71-89, (1991) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Commutative rings and modules of finite generation or presentation; number of generators, Ideals and multiplicative ideal theory in 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), Projective techniques 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 Aramova, A.: Symmetric products of Gorenstein varieties. Comp. rend. Acad. bulg. Sci. 40, No. No. 4, 5-7 (1987) 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 Determinantal varieties, Families, moduli of curves (algebraic), Matrices over function rings in one or more variables
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 S. Kwak and E. Park, Some effects of property \(N_p\) on the higher normality and defining equations of nonlinearly normal varieties, J. Reine Angew. Math. 582 (2005), 87--105. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Salvati Manni, R.: On the projective varieties associated with some subrings of the ring of thetanullwerte. Nagoya Math. J.133, 71--83 (1994) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Theta functions and abelian varieties, 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 Oeding, L., Hyperdeterminants of polynomials, Adv. Math., 231, 3, 1308-1326, (2012) 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
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 Ch. Miyazaki, Sharp bounds on Castelnuovo-Mumford regularity,Trans. Amer. Math. Soc. 352 (2000), 1675--1686. Local cohomology and algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Local cohomology 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 Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Divisibility and factorizations in commutative rings, 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 Representations of quivers and partially ordered sets, Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients), Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, Sheaves 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 Verschoren, A.: On the Picard group of a quasi-affine scheme. Methods in ring theory 129, 541-549 (1984) Picard groups, Rings of fractions and localization for commutative rings, 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 Geometric proofs of Horn and saturation conjectures. \textit{Journal of Alge-} \textit{braic Geometry }15(2006), 133--173.arXiv:math/0208107.Zbl 1090.14014 MR 2177198 Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Representation theory for linear algebraic groups, Classical problems, Schubert calculus
0