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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 Distributed algorithms, Software, source code, etc. for problems pertaining to 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 Noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Determinantal varieties, Rings arising from noncommutative algebraic geometry, 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 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 Okuma T. The plurigenera of Gorenstein surface singularities. Manuscripta Math, 1997, 94: 187--194 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 Vallès, J, A vector bundle proof of poncelet's closure theorem, Exp. Math., 30, 399-405, (2012) Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Determinantal varieties, 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 Perrin D., Courbes passant par m points généraux de \({\mathbb{P}^{3}}\), Mém. Soc. Math. France 28-29 (1987). Projective techniques in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Curves 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 Sam, S. V; Weyman, J., \textit{Pieri resolutions for classical groups}, J. Algebra, 329, 222-259, (2011) Representation theory for linear algebraic groups, Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Classical groups (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 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Local cohomology and algebraic geometry, Local cohomology and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Modules of differentials
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 Vinnikov, V.: Determinantal representations of algebraic curves. Linear algebra in signals, systems, and control (1988) Curves in algebraic geometry, Topological properties 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 Costa, L., Miró-Roig, R.M., Pons-Llopis, J.: The representation type of Segre varieties. Adv. Math. 230, 1995-2013 (2012) Rational and unirational 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 Hübl, R.: Graded duality and generalized fractions. J. pure appl. Algebra 141, 225-247 (1999) Rings of fractions and localization for commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, 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 M.C. Beltrametti - F.L. Odetti , On the projectively almost-factorial varieties , Ann. Mat. pura e appl. , serie IV , 103 ( 1977 ), pp. 255 - 263 . MR 460324 | Zbl 0358.14025 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 Cuong, D.T.: p-standard systems of parameters, localizations and local cohomology modules. In: Proceedings of the 3th Japan-Vietnam joint seminar on Commutative Algebra, pp 66-78. Hanoi (2007) 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 Special algebraic curves and curves of low genus, 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 J. Harris, L. Tu, Chern numbers of kernel and cokernel bundles. \textit{Invent. Math.}\textbf{75} (1984), 467-475. Characteristic classes and numbers in differential topology, 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 DOI: 10.1006/jabr.1994.1370 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
0
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Topological aspects of complex manifolds, Determinantal varieties, Special divisors on curves (gonality, Brill-Noether theory), Holomorphic bundles and generalizations
0
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Determinantal varieties, Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, 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 Bolondi, G.; Migliore, J. C.: The lazarsfeld--Rao property on an arithmetically Gorenstein variety. Manuscripta math. 78, 347-368 (1993) Linkage, Low codimension problems in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections
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 Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Determinantal varieties, Enriched categories (over closed or monoidal categories), Derived categories, triangulated categories
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), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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 Paolo Maroscia, Jürgen Stückrad, and Wolfgang Vogel, Upper bounds for the degrees of the equations defining locally Cohen-Macaulay schemes, Math. Ann. 277 (1987), no. 1, 53 -- 65. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Local cohomology and algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Complete intersections
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 \(3\)-folds, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Rational and birational maps
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 \beginbarticle \bauthor\binitsN. \bsnmGonciulea and \bauthor\binitsV. \bsnmLakshmibai, \batitleSingular loci of ladder determinantal varieties and Schubert varieties, \bjtitleJ. Algebra \bvolume229 (\byear2000), no. \bissue2, page 463-\blpage497. \endbarticle \endbibitem Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Singularities 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 C. Ciliberto and R. Miranda, Linear systems of plane curves with base points of egual multiplicity , Trans. Amer. Math. Soc. 352 (2000), 4037-4050. JSTOR: Plane and space curves, 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 P. V. Thien, On Segre bound for the regularity index of fat points in P2, Acta Math. Vietnamica, to appear. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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 Franco, D.: The gale transform for sets of points on the Veronese surface in P5, ''pragmatic 1997, catarcia''. Matematiche 53, 43-52 (1998) Projective techniques in algebraic geometry, Special surfaces, 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 Brian Harbourne, An algorithm for fat points on \?², Canad. J. Math. 52 (2000), no. 1, 123 -- 140. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Software, source code, etc. for problems 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 Gennady Lyubeznik, On the local cohomology modules \?\(^{1}\)_{\?}(ℜ) for ideals \? generated by monomials in an ℜ-sequence, Complete intersections (Acireale, 1983) Lecture Notes in Math., vol. 1092, Springer, Berlin, 1984, pp. 214 -- 220. Local rings and semilocal rings, Local cohomology and algebraic geometry, Complete intersections, 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: 10.1080/00927870500232976 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Homological dimension and commutative rings, Cohen-Macaulay modules, Dimension theory, depth, related commutative rings (catenary, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Homological functors on modules of commutative rings (Tor, Ext, 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 Papadakis, S.: Towards a general theory of unprojection, J. math. Kyoto univ. 47, 579-598 (2007) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Rational and birational maps
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.; Migliore, J.; Miró-Roig, R. M.; Nagel, U.; Peterson, C., Gorenstein liaison, complete intersection liaison invariants and unobstructedness, Mem. Am. Math. Soc., 154, 732, (2001) Determinantal varieties, Parametrization (Chow and Hilbert schemes), 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 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Determinantal varieties, Associated manifolds of Jordan algebras, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 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 Complex surface and hypersurface singularities, Discriminantal varieties and configuration spaces in algebraic topology, Homology and cohomology of homogeneous spaces of Lie groups, 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 I. Vainsencher, Twisted cubics, bis, Boletim da Sociedade Brasileira de Matemática. Nova Série 32 (2001), 37--44. Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Enumerative problems (combinatorial problems) in algebraic geometry
0
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties D'Almeida, Jean, Une involution sur un espace de modules de fibrés instantons, Bull. Soc. Math. France, 128, 4, 577-584, (2000) Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, 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 Toric varieties, Newton polyhedra, Okounkov bodies, Solving polynomial systems; resultants, Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Eigenvalues, singular values, and eigenvectors
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 Classical problems, Schubert calculus, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations
0
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Nhi, D.V.; Trung, N.V., Specialization of modules, Comm. algebra, 27, 2959-2978, (1999) Theory of modules and ideals 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 W. Bruns andA. Simis, Symmetric algebras of modules arising from a fixed submatrix of ageneric matrix. J. Pure. Appl. Algebra49, 227-245 (1987). Other special types of modules and ideals in commutative rings, Ideals and multiplicative ideal theory in commutative rings, Determinantal varieties, 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 Linkage, complete intersections and determinantal ideals, Seminormal 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 M. Casanellas andR.M. Miró-Roig,Gorenstein liaison of curves in \(\mathbb{P}\) 4, J. Alg.230 (2000), 656--664. Linkage, Plane and space curves, 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 Plaumann, D.; Sturmfels, B.; Vinzant, C., Computing linear matrix representations of Helton-vinnikov curves, (Dym, H.; etal., Mathematical Methods in Systems, Optimizations, and Control: Festschrift in Honor of J. William Helton, Operator Theory: Advances and Applications, vol. 222, (2012), Birkhäuser Basel), 259-277 Computational aspects of algebraic curves, Theta functions and abelian varieties, Real algebraic sets, 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 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 Translation planes and spreads in linear incidence geometry, Polar geometry, symplectic spaces, orthogonal spaces, Semifields, 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 Regular local rings, Formal power series rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Plane and space curves, Software, source code, etc. for problems 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 Ohsugi, H; Hibi, T, Quadratic initial ideals of root systems, Proc. Am. Math. Soc., 130, 1913-1922, (2002) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Computational aspects of higher-dimensional varieties
0
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties M. Kreuzer, On the canonical module of a \(0\)-dimensional scheme , Canad. J. Math. 46 (1994), 357-379. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Cycles and subschemes, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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 Lerario, A, Complexity of intersections of real quadrics and topology of symmetric determinantal varieties, J. Eur. Math. Soc. (JEMS), 18, 353-379, (2016) Topology of real algebraic varieties, Real algebraic sets, Singular homology and cohomology theory, 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 Determinantal varieties, Commutativity of matrices
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 Divisors, linear systems, invertible sheaves, Rational and birational maps, \(3\)-folds, Hypersurfaces and algebraic geometry, Surfaces and 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 Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), Polynomial rings and ideals; rings of integer-valued polynomials, General binary quadratic forms, 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 Catanese, F.: Commutative algebra methods and equations of regular surfaces. (Lect. Notes Math., vol. 1056, pp. 68-111). Berlin Heidelberg New York: Springer 1984 Families, moduli, classification: algebraic theory, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Fine and coarse moduli spaces, Special surfaces, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), 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 M. V. Catalisano, A. V. Geramita, and A. Gimigliano, Higher secant varieties of the Segre varieties \Bbb P\textonesuperior \times \ldots \times \Bbb P\textonesuperior , J. Pure Appl. Algebra 201 (2005), no. 1-3, 367 -- 380. Determinantal varieties, Special 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 Kerner, D.; Vinnikov, V., Determinantal representations of singular hypersurfaces in \(\mathbb{P}^n\), Adv. Math., 231, 1619-1654, (2012) Determinantal varieties, Plane and space curves, Curves 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 Raicu, C.: 3\({\times}3\) minors of catalecticants, (8 May 2013) 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, Vector and tensor algebra, theory of invariants, Actions of groups on commutative rings; invariant theory, 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 B. Hassett, Stable limits of log surfaces and Cohen-Macaulay singularities, J. Algebra 242 (2001) no. 1, 225-235. Singularities of surfaces or higher-dimensional varieties, \(3\)-folds, 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 Howe, R.: ''The classical groups'' and invariants of binary forms. Proc. symp. Pure math. 48, 133-166 (1988) Vector and tensor algebra, theory of invariants, Multilinear algebra, tensor calculus, Representation theory for linear algebraic groups, Algebraic moduli problems, moduli of vector bundles, Geometric invariant theory, Group actions on varieties or schemes (quotients), Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds
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 Divisors, linear systems, invertible sheaves, Determinantal varieties, Projective techniques in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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 Artinian rings and modules, finite-dimensional algebras, Valuation rings, Graded rings and modules (associative rings and algebras), Complete rings, completion, 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 F. Rossi and W. Spangher, Some effective methods in the openness of loci for Cohen-Macaulay and Gorenstein properties, inEffective Methods in Algebraic Geometry, Proc. Intern. Conf. MEGA 90, Castiglioncello 1990, T. Mora and C. Traverso, eds., Progress in Mathematics94, Birkhäuser (1990), 441-455. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Effectivity, complexity and computational aspects of algebraic geometry, Linkage, complete intersections and determinantal ideals, Cohen-Macaulay modules
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), Low codimension problems in algebraic geometry, Complete intersections, Cohen-Macaulay modules
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 Bender, J., Bongartz, K.: Minimal singularities in orbit closures of matrix pencils. Linear Algebra Appl. 365, 13--24 (2003) Representations of quivers and partially ordered sets, Group actions on varieties or schemes (quotients), 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 P. Pragacz and J. Weyman, Resolutions of determinantal varieties; a survey, in ''Lecture Notes in Math.,'' Vol. 1220, Springer-Verlag, New York/Berlin. Determinantal varieties, (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 P. Pracacz and J. Weyman, Complexes associated with trace and evaluation: Another approach to Lascoux's resolution, Adv. Math. 57 (1985), 163--207. Determinantal varieties, Global theory and resolution of singularities (algebro-geometric aspects)
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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
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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 Vinnikov, Victor, LMI representations of convex semialgebraic sets and determinantal representations of algebraic hypersurfaces: past, present, and future.Mathematical methods in systems, optimization, and control, Oper. Theory Adv. Appl. 222, 325-349, (2012), Birkhäuser/Springer Basel AG, Basel Determinantal varieties, Semidefinite programming, Semialgebraic sets and related spaces, Convex sets in \(n\) dimensions (including convex hypersurfaces)
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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, 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 Kunz, E.; Waldi, R.: Über den derivationmodul und das Jacobi-ideal von kurvensingularitäten, Math. zeitschrift 187, 105-123 (1984) Singularities of curves, local rings, Morphisms of commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Jacobians, Prym varieties, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Modules of differentials, Rational and unirational 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 DOI: 10.1007/BF02571888 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Real algebraic sets, Divisors, linear systems, invertible sheaves, 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 Commutative Noetherian rings and modules, Determinantal varieties, Multilinear algebra, tensor calculus, 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 Lax, R.F., Widland, C.: Gap sequences at a singularity, Pac. J. Math.150, 111--122 (1991) Singularities of curves, local rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Riemann surfaces; Weierstrass points; gap sequences
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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 Mulay, S. B.: Determinantal loci and the flag variety. Adv. math. 74, 1-30 (1989) Grassmannians, Schubert varieties, flag manifolds, 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 Toric varieties, Newton polyhedra, Okounkov bodies, Singularities in algebraic geometry, Determinantal varieties, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, 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 ------,On Kodaira energy and adjoint reduction of polarized manifolds, manuscripta math.76 (1992), 59--84. Families, moduli, classification: algebraic theory, Complex spaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Moduli, classification: analytic theory; relations with modular forms
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, Ideals of fat points and splittable ideals, inThe Curves Seminar at Queen's, Vol. 10, Queen's Papers in Pure and Applied Mathematics, Vol. 102, pp. 242--255. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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 Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Determinantal varieties, Classical problems, Schubert calculus, Singularities of curves, local rings, Real algebraic and real-analytic geometry, Homotopy groups of spheres, Group actions on manifolds and cell complexes in low dimensions, Special maps on metric spaces, Proceedings of conferences of miscellaneous specific interest
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 Alzati A.: A new Castelnuovo bound for two codimensional subvarieties of \$\$\{\(\backslash\)mathbb\{P\}\^\{r\}\}\$\$ . Proc of AMS (3) 114, 607--611 (1992) Low codimension problems in algebraic geometry, Projective techniques in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Surfaces and 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 Galligo, A.: Computations of some Hilbert functions related with Schubert calculus. Lecture notes in mathematics 1124 (1985) Grassmannians, Schubert varieties, flag manifolds, 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 Chandler, K, The geometric interpretation of fröberg-iarrobino conjectures on infinitesimal neighbourhoods of points in projective space, J. Algebra, 286, 421-455, (2005) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, 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 Geometric invariant theory, Homogeneous spaces and generalizations, 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 [H/M] Hirschowitz, A., Marlin, R.: Nouvelles surfaces á noeuds dans \(\mathbb{P}\)3. Math. Ann.267, 83--89 (1984) 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 Determinantal varieties, Matrix pencils, Factorials, binomial coefficients, combinatorial functions
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 Biswas, J.; Ravindra, G. V., Arithmetically Cohen-Macaulay bundles on complete intersection varieties of sufficiently high multi-degree, Math. Z., 265, 3, 493-509, (2010) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, 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 Y. Lee, Bicanonical pencil of a determinantal Barlow surface, Trans. Amer. Math. Soc., to appear. CMP 99:17 Surfaces of general type, Determinantal varieties, Families, moduli, classification: algebraic theory, Special Riemannian manifolds (Einstein, Sasakian, 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 Buildings and the geometry of diagrams, Incidence structures embeddable into projective geometries, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Associated geometries of Jordan algebras, Linear algebraic groups over arbitrary fields
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 T. Kawasaki, ''On Macaulayfication of Noetherian schemes,'' Trans. Amer. Math. Soc., 352, No. 6, 2517--2552 (2000). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities in algebraic geometry, 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 Marino, L.: Conductor and separating degrees for sets of points in \(\mathbb{P}^r\) and \(\mathbb{P}^1\times \mathbb{P}^1\), Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) \textbf{9}(2), 397-421 (2006) Syzygies, resolutions, complexes and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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 Simis, A.: Algebraic aspects of tangent cones. Matemática contemporânea, Proceedings of the XII escola de álgebra (1994) 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 Stefan Ehbauer, Syzygies of points in projective space and applications, Zero-dimensional schemes (Ravello, 1992) de Gruyter, Berlin, 1994, pp. 145 -- 170. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, \(3\)-folds
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 Henri Gillet and Christophe Soulé, Un théorème de Riemann-Roch-Grothendieck arithmétique, C. R. Acad. Sci. Paris Sér. I Math. 309 (1989), no. 17, 929 -- 932 (French, with English summary). Riemann-Roch theorems, Arithmetic varieties and schemes; Arakelov theory; heights, 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 Drezet, J.-M.: Points non factoriels des variétés de modules de faisceaux semi-stables sur une surface rationnelle. J. Reine Angew. Math. 413, 99--126 (1991) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Rational and unirational varieties, Families, moduli, classification: algebraic 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 Global theory and resolution of singularities (algebro-geometric aspects), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities in algebraic geometry, 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 S. Fitchett, Generators of Fat Point Ideals on the Projective Plane, Doctoral dissertation, University of Nebraska--Lincoln, 1997. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Symbolic computation and algebraic computation
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 monomial ideals; Stanley-Reisner face rings; simplicial complexes, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), 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 Cioffi, F; Gennaro, R, Liaison and Cohen-Macaulayness conditions, Collect. Math., 62, 173-186, (2011) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Linkage, Complete intersections
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., Kreuzer, M., Robbiano, L.: Cayley--Bacharach schemes and Hilbert Functions, Preprint (1990) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Linkage, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Algebraic moduli problems, moduli of vector bundles
0