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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, Matrices over special rings (quaternions, finite fields, etc.), (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 Nagel, U., Vogel, W.: Bounds for Castelnuovo's regularity and Hilbert functions. In: Topics in Algebra. Banach Center Publications, vol. 26, pp. 163--183, Part 2. PWN-Polish Scientific Publishers, Warsaw (1990) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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 Bruns, W.; Schwänzl, R., The number of equations defining a determinantal variety, Bull. Lond. Math. Soc., 22, 5, 439-445, (1990) Determinantal varieties, Complete intersections, Étale and other Grothendieck topologies and (co)homologies, Homological dimension 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 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Differential graded algebras and applications (associative algebraic aspects), 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 Corso, Alberto; Polini, Claudia: Commutative algebra and its connections to geometry. Contemp. math. 555 (2011) Proceedings, conferences, collections, etc. pertaining to commutative algebra, Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, etc.), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Parametrization (Chow and Hilbert schemes), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Determinantal varieties, Projective techniques in algebraic geometry, 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 E. Ballico , Vector bundles, reflexive sheaves and algebraic surfaces , Rend. Sem. Mat. Univ. Milano (to appear). MR 1229484 | Zbl 0806.14005 Algebraic moduli problems, moduli of vector bundles, Determinantal varieties, 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 Homological dimension and commutative rings, Cohen-Macaulay modules, Dimension theory, depth, related commutative rings (catenary, etc.), 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 Neves, J.; Papadakis, S., Parallel kustin-Miller unprojection with an application to Calabi-Yau geometry, Proc. lond. math. soc., 106, 203-223, (2013) Calabi-Yau manifolds (algebro-geometric aspects), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Birational 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), Iwasawa theory, Polynomials (irreducibility, 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 Homological functors on modules of commutative rings (Tor, Ext, 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 S. Ishii, ''Quasi-Gorenstein Fano-3-folds with isolated nonrational loci,''Compos. Math.,77, 335--341 (1991). Fano varieties, \(3\)-folds, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Minimal model program (Mori theory, extremal rays), 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 Anderson, G. W.: An explicit algebraic representation of the Abel map. Internat. math. Res. notices 11, 495-521 (1997) Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, 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 Jouanolou, Jean-Pierre, Résultant anisotrope: compléments et applications, Electron. J. combin., 3, 2, (1996), Research Paper 2, approx. 91 Polynomials over commutative rings, 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 Donkin S., ''The normality of closures of conjugacy classes of matrices,'' Invent. Math., 101, No. 3, 717--736 (1990). Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Linear algebraic groups over arbitrary fields, 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 R.O. Buchweitz, G.M. Greuel and F.O. Schreyer: ''Cohen-Macaulay modules on hypersurface singularities II'', Invent. Math., Vol. 88, (1987), pp. 165--182. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities of surfaces or higher-dimensional varieties, 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 Projective techniques in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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 Markwig, H.; Yu, J.: The space of tropically collinear points is shellable, Collect. math. 60, No. 1, 63-77 (2009) Determinantal varieties, Shellability for polytopes and polyhedra
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, N. V. Trung, and G. Valla, A sharp bound for the regularity index of fat points in general position , Proc. Amer. Math. Soc. 118 (1993), 717-724. JSTOR: Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Multiplicity theory and related topics, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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 K-N Lin, Rees algebras of diagonal ideals , J. Comm. Alg. 5 (2013), 359-398. 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
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, Determinantal varieties, Polynomial rings and ideals; rings of integer-valued polynomials, Rings with straightening laws, Hodge algebras
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 Fatabbi, G; Harbourne, B; Lorenzini, A, Resolutions of ideals of fat points with support in a hyperplane, Proc. Am. Math. Soc., 134, 3475-3483, (2006) Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Kraft J (1985) Singularity of monomial curves in \(\mathbb{A}^{3}\) and Gorenstein monomial curves in \(\mathbb{A}^{4}\) . Canad J Math 37:872 Special algebraic curves and curves of low genus, Singularities of curves, local rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Multiplicity theory and related topics, Power series 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 Determinantal varieties, Schemes and morphisms, Projective techniques in algebraic geometry, Computational aspects and applications of 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 Ballico, E.: On the order of projective curves. Rend. circ. Mat. Palermo 38, 155-160 (1989) Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Classification theory of Riemann 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 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 Parametrization (Chow and Hilbert schemes), Plane and space curves, Formal methods and deformations in algebraic geometry, Deformations and infinitesimal methods in commutative ring theory, Local deformation theory, Artin approximation, 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 Chiantini, L., Geramita, A.V.: On the determinantal representation of quaternary forms. Commun. Alg. \textbf{42}, 4948-4954 (2014) 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 Topology of real algebraic varieties, Rational and ruled 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 Bruns, W.; Römer, T.; Wiebe, A., Initial algebras of determinantal rings, Cohen-Macaulay and ulrich ideals, \textit{Michigan Math. J.}, 53, 71-81, (2005) Linkage, complete intersections and determinantal ideals, Determinantal varieties, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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 Miyazaki, C., Buchsbaum varieties with next to sharp bounds on Castelnuovo-Mumford regularity, Proc. Am. Math. Soc., 139, 1909-1914, (2011) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Varieties of low degree
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.: A few remarks on blowing-up and connectedness. J. reine angew. Math. 370, 52-60 (1986) Topological properties in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Dimension theory in general topology, 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 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Semigroup rings, multiplicative semigroups of rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Other special types of 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 Kleppe, J.O.; Miró-Roig, R.M., Dimension of families of determinantal schemes, Trans. am. math. soc., 357, 2871-2907, (2005) Determinantal varieties, Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory, Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Parametrization (Chow and Hilbert schemes), 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 B. Schwarz and A. Zaks,On the embeddings of projective spaces in lines. Linear Multilinear Algebra18 (1985), 319--336. Ring geometry (Hjelmslev, Barbilian, etc.), Basic linear algebra, Embeddings 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 DOI: 10.1215/S0012-7094-94-07510-8 Linkage, complete intersections and determinantal ideals, Determinantal varieties, 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 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Theory of modules and ideals in commutative rings described by combinatorial properties, Combinatorial aspects of 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Cycles and subschemes
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 Levasseur, T.; Stafford, J. T., Rings of differential operators on classical rings of invariants, Mem. Amer. Math. Soc., 412, pp., (1989) Noetherian rings and modules (associative rings and algebras), Group actions on varieties or schemes (quotients), Universal enveloping (super)algebras, Infinite-dimensional simple rings (except as in 16Kxx), Determinantal varieties, Automorphisms and endomorphisms, Valuations, completions, formal power series and related constructions (associative rings and algebras), Simple, semisimple, reductive (super)algebras, Modules of differentials, Geometric invariant theory, Sheaves of differential operators and their modules, \(D\)-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 Mauro C. Beltrametti and Andrew J. Sommese, On the preservation of \?-very ampleness under adjunction, Math. Z. 212 (1993), no. 2, 257 -- 283. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Special surfaces, 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory, 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 Parameswaran, A. J.; Srinivas, V., A variant of the Noether-Lefschetz theorem: some new examples of unique factorization domains, Journal of Algeraic Geometry, 3, 81-115, (1994) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), 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 González-Vega, Laureano: Determinantal formulae for the solution set of zero-dimensional ideals. J. pure appl. Algebra 76, No. 1, 57-80 (1991) Polynomials, factorization in commutative rings, 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 \(3\)-folds, Families, moduli, classification: algebraic 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 Geramita, A. V.; Schenck, H.: Fat points, inverse systems and piecewise polynomial functions, Queen's papers in pure and appl. Math. 105, 98-116 (1997) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Numerical computation using splines
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), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Complete intersections, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure
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/j.jalgebra.2006.08.007 Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and 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 Bruns, W., Conca, A.: Products of Borel fixed ideals of maximal minors. Preprint (2016). arXiv:1601.03987 [math.AC] Grothendieck groups, \(K\)-theory and commutative rings, Rings with straightening laws, Hodge algebras, 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 T. Hibi, ''Study of three-dimensional algebras with straightening laws which are Gorenstein domains. III,'' Hiroshima Math. J. 18(2) (1988), 299--308. Polynomial rings and ideals; rings of integer-valued polynomials, 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 A. G. Jones, Some Morita equivalences of rings of differential operators, J. Algebra 173 (1995), no. 1, 180 -- 199. Commutative rings of differential operators and their 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 De Concini, C.; Pragacz, P.: On the class of brill--Noether loci for Prym varieties. Math. ann. 302, 687-697 (1995) Picard schemes, higher Jacobians, Jacobians, Prym varieties, Algebraic cycles, 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 Configurations and arrangements of linear subspaces, 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 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Polynomials, factorization in commutative rings, Determinantal varieties, Exactly and quasi-solvable systems arising in quantum 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 A. Khetan, J. Pure Appl. Algebra, 198, 237--256 (2005); arXiv:math/0310478v4 (2003). Toric varieties, Newton polyhedra, Okounkov bodies, Computational aspects and applications of 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 Ramos, Z.; Simis, A., Homaloidal nets and ideals of fat points I, LMS J. Comput. Math., 19, 54-77, (2016) Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Multiplicity theory and related topics, Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Graded rings, Cohen-Macaulay modules, 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 Hosono, S., Takagi, H.: Determinantal Quintics and Mirror Symmetry of Reye Congruences. arXiv:1208.1813 Mirror symmetry (algebro-geometric aspects), Calabi-Yau manifolds (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 Polynomial rings and ideals; rings of integer-valued polynomials, Homological dimension and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Ideals and multiplicative ideal theory in commutative rings, Low codimension problems in algebraic geometry
0
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Complete intersections, Determinantal varieties, Topological properties 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 Thoma, A., On the set-theoretic complete intersection problem for monomial curves in A\textit{n} and \(\mathbb{P}\)\textit{n}, J. Pure Appl. Algebra, 104, 3, 333-344, (1995) Complete intersections, 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 Huneke, C., Determinantal ideals of linear type, Arch. math., 47, 4, 324-329, (1986) Determinantal varieties, 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 Ciliberto, C., Geramita, A.V., Orecchia, F.: Remarks on a theorem of Hilbert-Burch. Boll. UMI \textbf{7}, 463-483 (1988) 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 Catalisano, M. V.; Gimigliano, A.: On the Hilbert function of fat points on a rational normal cubic. J. algebra 183, 245-265 (1996) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Plane and space curves, 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 Lovett, S. T.: Orthogonal and symplectic analogues of determinantal ideals. J. algebra 291, 416-456 (2005) Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Computational aspects of higher-dimensional varieties, 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 Simis, A.: Two differential themes in characteristic zero. Contemp. math. 324, 195-204 (2003) Linkage, complete intersections and determinantal ideals, Derivations and commutative rings, Dimension theory, depth, related commutative rings (catenary, 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 [R]Roggero M.,On the rank 2 reflexive sheaves and the subcanonical curves in P 3 . Accettato per la pubbl. su Comm. in Algebra. 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 Coughlan, S.: Key varieties for surfaces of general type. University of Warwick PhD thesis, vi \(+\) 81 pp. (2009) 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 Harbourne, B.; Cooper, S., Regina lectures on fat points, (2013), University of Regina, available at Divisors, linear systems, invertible sheaves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, 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 Lipman, J., Nayak, J., Sastry, S.: Pseudofunctorial behavior of Cousin complexes on formal schemes. Variance and duality for Cousin complexes on formal schemes. Contemporary Mathematics, vol. 375, pp. 3--133. American Mathematical Society, Providence (2005) Local cohomology and algebraic geometry, Foundations of algebraic geometry, (Co)homology theory in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Categorical algebra
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 Casnati, G., Catanese, F.: Even sets of nodes are bundle symmetric. J. Diff. Geom. 47, 237--256 (1997); erratum ibid. 50, 415 (1998) Singularities of surfaces or higher-dimensional varieties, Determinantal varieties, Finite ground 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 Complete intersections, Modules of differentials, Linkage, complete intersections and determinantal ideals, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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 Ballico E., Points not as hyperplane sections of projectively normal curves, Proc. Amer. Math. Soc. Special algebraic curves and curves of low genus, 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 Enumerative problems (combinatorial problems) in algebraic geometry, Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Computational aspects and applications of 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 Baruch, M.; Brown, W. C.: A matrix computation for the Cohen-Macaulay type of s-lines in affine (n + 1) -space. J. algebra 85, 1-13 (1983) 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 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 Migliore, J.; Nagel, U., Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers, \textit{Adv. Math.}, 180, 1-63, (2003) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Linkage, Configurations and arrangements of linear subspaces, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Special polytopes (linear programming, centrally symmetric, etc.), \(n\)-dimensional polytopes
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 Ducrot, F.: Fibré déterminant et courbes relatives. Bull. soc. Math. France 118, 311-361 (1990) Theta functions and abelian varieties, Determinants and determinant bundles, analytic torsion, Determinantal varieties, Theta functions and curves; Schottky problem
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 Comas G and Seiguer M 2011 On the rank of a binary form \textit{Found. Comput. Math.}11 65--78 Classical problems, Schubert calculus, 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 Henselian rings, Local deformation theory, Artin approximation, etc., Global theory and resolution of singularities (algebro-geometric aspects), Local rings and semilocal 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 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 Migliore, J; Nagel, U, Tetrahedral curves, Int. Math. Res. Not., 15, 899-939, (2005) Plane and space curves, Linkage, complete intersections and determinantal ideals, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 Bocci, C; Dalzotto, G; Notari, R; Spreafico, ML, An iterative construction of Gorenstein ideals, Trans. Am. Math. Soc., 354, 1417-1444, (2004) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and 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 Brodmann, M.: Blow-up and asymptotic depth of higher conormal modules. Preprint Rational and birational maps, 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 Other special types of modules and ideals in commutative rings, 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 \textsc{M. Aprodu and E. Sernesi,} Excess dimension for secant loci in symmetric products of curves, E. Collect. Math. (2016). 10.1007/s13348-016-0166-2. Special divisors on curves (gonality, Brill-Noether theory), Plane and space curves, 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 Ishida, M.-N., Torus embeddings and dualizing complexes, \textit{Tôhoku Math. J.}, 32, 111-146, (1980) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities in algebraic geometry, Embeddings 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 in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Local structure of morphisms in algebraic geometry: étale, flat, etc., Seminormal 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), Syzygies, resolutions, complexes and commutative rings, Computational aspects and applications of 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 P. Blass : Groupes de Picard des surfaces de Zariski . Comptes Rendus des Seances de I'Academie des Sciences, I-315, 19 septembre 1983. Picard groups, 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 S. P. Diaz and A. Lutoborski, \textit{Polynomial foldings and tensor ranks}, J. Commut. Algebra, 8 (2016), pp. 173--206. Linkage, complete intersections and determinantal ideals, Multilinear algebra, tensor calculus, 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 Raicu, Claudiu, Regularity and cohomology of determinantal thickenings, Proc. Lond. Math. Soc. (3), 116, 2, 248-280, (2018) Local cohomology and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, 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 D. Laksov, ``Diagonalization of matrices over rings,'' Journal of Algebra, vol. 376, pp. 123-138, 2013. Polynomials over commutative rings, Galois theory and commutative ring extensions, Rings of fractions and localization for commutative rings, Theory of matrix inversion and generalized inverses, Matrices over function rings in one or more variables, Polynomials and finite 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 Stückrad, J.; Vogel, W.: Castelnuovo's regularity and multiplicity. Math. ann. 281, 355-368 (1988) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Multiplicity theory and related topics, 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 Automorphisms of infinite groups, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Determinantal varieties, Graded Lie (super)algebras, Derived series, central series, and generalizations for groups, Homological methods in group theory, Automorphism groups of 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 Determinantal varieties, Local complex singularities, Complex surface and hypersurface singularities
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 Harima T. and Okuyama H. (1994). The conductor of some special points in P 2. J. Math. Tokushima Univ. 28: 5--18 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 Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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
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 Migliore, JC., Nagel, U.: Numerical macaulification. arXiv:1202.2275 (2012) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Linkage, Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems in algebraic geometry
0
O. Porras, ''Rank varieties and their desingularizations,''J. Algebra,186, 677--723 (1996). Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties Harbourne, B.: Points in good position in P\^{}\{2\}. Zero-dimensional schemes (Ravello, 1992), pp. 213-229. de Gruyter, Berlin (1994) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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 H. Bresinsky, On the Cohen-Macaulay property for monomial curves in \(\mathbb{P}\) k 3 . Monatsheft für Math.98, 21--28 (1984) Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
0