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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Plane and space curves, Singularities in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Relations with arrangements of hyperplanes
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Christian Bopp. {S}yzygies of \(k\)-gonal canonical curves. Master's thesis, Saarland University, Saarbrücken, Germany, 2013 Syzygies, resolutions, complexes and commutative rings, Special divisors on curves (gonality, Brill-Noether theory)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, 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
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Schenck, H.; Seceleanu, A.; Validashti, J., Syzygies and singularities of tensor product surfaces of bidegree (\(2, 1\)), Math. Comput., 83, 287, 1337-1372, (2014) Syzygies, resolutions, complexes and commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies, Computational aspects of algebraic surfaces
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Determinantal varieties, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects of higher-dimensional varieties, Combinatorial aspects of commutative algebra, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties D. Eisenbud, J. Harris: An intersection bound for rank 1 loci, with applications to Castelnuovo and Clifford theory, J. Alg. Geom.1, 31--60 (1992) Determinantal varieties, Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Nicolás Botbol, Alicia Dickenstein, and Marc Dohm, Matrix representations for toric parametrizations, Comput. Aided Geom. Design 26 (2009), no. 7, 757 -- 771. Computer-aided design (modeling of curves and surfaces), Syzygies, resolutions, complexes and commutative rings, Spline approximation, Computational aspects of algebraic surfaces, Toric varieties, Newton polyhedra, Okounkov bodies
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Trees, Local complex singularities, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Local cohomology and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Rational and birational maps, Birational automorphisms, Cremona group and generalizations
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Vector bundles on curves and their moduli, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Guardo, Elena; Van Tuyl, Adam, Classifying ACM sets of points in \(\mathbb{P}^1 \times\mathbb{P}^1\) via separators, Arch. Math. (Basel), 99, 1, 33-36, (2012) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Schemes and morphisms
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties D. Murfet -- Sh. Salarian, Totally acyclic complexes over Noetherian schemes, Adv. Math. 226 (2011), pp. 1096--1133. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies, Sheaves in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Eisenbud, D.; Green, M.; Hulek, K.; Popescu, S., Restricting linear syzygies, algebra and geometry, \textit{Compositio Math.}, 41, 1460-1478, (2005) Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Loeser, F.: Faisceaux pervers, transformation de Mellin et déterminants. Mém. soc. Math. fr. 66, 1-105 (1996) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Local ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Peeva, I. (ed.): Infinite free resolutions over toric rings. In: Syzygies and Hilbert functions. Lecture Notes in Pure Applied Mathematics, vol. 254, pp. 233-247. CRC Press, Boca Raton (2007) Syzygies, resolutions, complexes and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, etc.), Toric varieties, Newton polyhedra, Okounkov bodies
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Ignacio Ojeda Martínez de Castilla and Pilar Pisón Casares, On the hull resolution of an affine monomial curve, J. Pure Appl. Algebra 192 (2004), no. 1-3, 53 -- 67. Syzygies, resolutions, complexes and commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies, Plane and space curves
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Calabi-Yau manifolds (algebro-geometric aspects), Syzygies, resolutions, complexes and commutative rings, Sheaves in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Set-valued and variational analysis, Numerical mathematical programming methods, Nonconvex programming, global optimization, Nonsmooth analysis, Determinantal varieties, Norms of matrices, numerical range, applications of functional analysis to matrix theory
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Borowiec A., Adv. Math. 115 pp 250-- (1995) Deformations of associative rings, Quantum groups (quantized enveloping algebras) and related deformations, Rings of differential operators (associative algebraic aspects), Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Quantum groups and related algebraic methods applied to problems in quantum theory, Pseudogroups and differentiable groupoids, \(p\)-adic cohomology, crystalline cohomology
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Cohen-Macaulay modules, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Vector bundles on curves and their moduli, Plane and space curves, Noncommutative algebraic geometry, Vector bundles on curves and their moduli, Elliptic curves
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Divisors, linear systems, invertible sheaves, Algebraic theory of abelian varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Naito, Minimal free resolution of curves of degree 6 or lower in the 3-dimensional projective space, Tokyo J. Math. 25 (1) pp 191-- (2002) Plane and space curves, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Ronald King and Trevor Welsh, \textit{Some remarks on characters of symmetric groups, Schur functions, Littlewood-Richardson and Kronecker coefficients}, work in progress http://congreso.us.es/enredo2009/Workshop_files/Sevilla_King.pdf. Actions of groups on commutative rings; invariant theory, Determinantal varieties, Group actions on varieties or schemes (quotients)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Families, moduli of curves (algebraic), Syzygies, resolutions, complexes and commutative rings, Algebraic moduli problems, moduli of vector bundles, Special divisors on curves (gonality, Brill-Noether theory), Families, moduli, classification: algebraic theory, Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Christian Pauly, Fibrés paraboliques de rang 2 et fonctions thêta généralisées, Math. Z. 228 (1998), no. 1, 31 -- 50 (French). Vector bundles on curves and their moduli, Theta functions and abelian varieties, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Niu, W.: A bound for the Castelnuovo-Mumford regularity of log canonical varieties, Journal of pure and applied algebra 215 (2011) Vanishing theorems in algebraic geometry, Linkage, Linkage, complete intersections and determinantal ideals, Singularities of surfaces or higher-dimensional varieties, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Catalisano, MV; Geramita, AV; Gimigliano, A, On the secant varieties to the tangential varieties of a Veronesean, Proc. Am. Math. Soc., 130, 975-985, (2001) Classical problems, Schubert calculus, Determinantal varieties, Infinitesimal methods in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Ideals and multiplicative ideal theory in commutative rings, Projective and free modules and ideals in commutative rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Multilinear algebra, tensor calculus, Vector spaces, linear dependence, rank, lineability, Semialgebraic sets and related spaces, Determinantal varieties, Linkage, complete intersections and determinantal ideals
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Eisenbud, D.; Schreyer, F.-O., \textit{the banks of the cohomology river}, Kyoto J. Math., 53, 131-144, (2013) Syzygies, resolutions, complexes and commutative rings, Homological functors on modules of commutative rings (Tor, Ext, etc.)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Schenck, H., Resonance varieties via blowups of \(\mathbb{P}^2\) and scrolls, Int. Math. Res. Not. IMRN, 20, 4756-4778, (2011) Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, Pencils, nets, webs in algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Computational aspects of algebraic curves, Special divisors on curves (gonality, Brill-Noether theory), Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Linkage, complete intersections and determinantal ideals, Cohen-Macaulay modules, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Suciu, A. I., Translated tori in the characteristic varieties of complex hyperplane arrangements, Topology Appl. 118 (2002), 209--223. Relations with arrangements of hyperplanes, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Determinantal varieties, Fundamental group, presentations, free differential calculus
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Pragacz, Piotr, Enumerative geometry of degeneracy loci, Ann. Sci. École Norm. Sup. (4), 21, 3, 413-454, (1988) Enumerative problems (combinatorial problems) in algebraic geometry, Determinantal varieties, Singularities in algebraic geometry, Characteristic classes and numbers in differential topology
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Commutative rings defined by binomial ideals, toric rings, etc., Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities of curves, local rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Morphisms of commutative rings, Local structure of morphisms in algebraic geometry: étale, flat, etc., Topological rings and modules
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Singularities of surfaces or higher-dimensional varieties, Determinantal varieties, Projective techniques in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Lazarsfeld, R.: Some applications of the theory of positive vector bundles. (Lect. Notes Math., vol. 1092, pp. 29--61). Berlin Heidelberg New York: Springer 1984 Homotopy theory and fundamental groups in algebraic geometry, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Determinantal varieties, Families, moduli of curves (algebraic), Matrices over function rings in one or more variables
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties S. Kwak and E. Park, Some effects of property \(N_p\) on the higher normality and defining equations of nonlinearly normal varieties, J. Reine Angew. Math. 582 (2005), 87--105. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Oeding, L., Hyperdeterminants of polynomials, Adv. Math., 231, 3, 1308-1326, (2012) Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory, Determinantal varieties, Representation theory for linear algebraic groups, Vector and tensor algebra, theory of invariants, Multilinear algebra, tensor calculus
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Ramos, Z.; Simis, A., Symbolic powers of perfect ideals of codimension 2 and birational maps, J. Algebra, 413, 153-197, (2014) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Cohen-Macaulay modules, Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Commutative rings and modules of finite generation or presentation; number of generators, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rational and birational maps, Birational automorphisms, Cremona group and generalizations
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties [CRV3] Cavaliere, M.P., Rossi, M.E., Valla, G.: On Green-Lazarsfeld and Minimal resolution conjecture forn+3 points inP n . J. Pure Appl. Algebra85, 105--117 (1993) Global theory and resolution of singularities (algebro-geometric aspects), Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Global theory of complex singularities; cohomological properties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Geometric proofs of Horn and saturation conjectures. \textit{Journal of Alge-} \textit{braic Geometry }15(2006), 133--173.arXiv:math/0208107.Zbl 1090.14014 MR 2177198 Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Representation theory for linear algebraic groups, Classical problems, Schubert calculus
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Module categories and commutative rings, Deformations of singularities, Syzygies, resolutions, complexes and commutative rings, Stacks and moduli problems
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Graded rings, Linkage, complete intersections and determinantal ideals, Forms of degree higher than two, Diophantine equations in many variables, Dimension theory, depth, related commutative rings (catenary, etc.), Complete intersections, Varieties over global fields
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Avramov, L.; Halperin, S.: On the nonvanishing of cotangent cohomology. Comment. math. Helv. 62, 169-184 (1987) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Local cohomology and algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Toric varieties, Newton polyhedra, Okounkov bodies
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Determinantal varieties, Algebraic combinatorics, Combinatorics of partially ordered sets
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties DOI: 10.1016/S0012-365X(01)00256-4 Determinantal varieties, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Exact enumeration problems, generating functions, Combinatorial identities, bijective combinatorics, Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Linkage, complete intersections and determinantal ideals
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, (Co)homology theory in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Ahn, J.; Shin, Y. S., The minimal free resolution of a star-configuration in \(\mathbb{P}^n\) and the weak-Lefschetz property, J. Korean Math. Soc., 49, 405-417, (2012) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Complete intersections
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Alf Aure, Wolfram Decker, Klaus Hulek, Sorin Popescu, and Kristian Ranestad, Syzygies of abelian and bielliptic surfaces in \?\(^{4}\), Internat. J. Math. 8 (1997), no. 7, 849 -- 919. Special surfaces, Syzygies, resolutions, complexes and commutative rings, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Arcs and motivic integration, Determinantal varieties, Toric varieties, Newton polyhedra, Okounkov bodies
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Derksen, H., Sidman, J.: Castelnuovo-Mumford regularity by approximation. Adv. Math. 188, 10--123 (2004) Syzygies, resolutions, complexes and commutative rings, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Actions of groups on commutative rings; invariant theory, Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Relevant commutative algebra
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Plane and space curves, Singularities in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Relations with arrangements of hyperplanes
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Michael G. Neubauer, The variety of pairs of matrices with rank(\?\?-\?\?)\le 1, Proc. Amer. Math. Soc. 105 (1989), no. 4, 787 -- 792. Vector spaces, linear dependence, rank, lineability, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Syzygies, resolutions, complexes and commutative rings, Deformations and infinitesimal methods in commutative ring theory, Parametrization (Chow and Hilbert schemes)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Solving polynomial systems; resultants, Syzygies, resolutions, complexes and commutative rings, Computational aspects of algebraic surfaces
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Conca, A.; Mostafazadehfard, M.; Singh, A. K.; Varbaro, M., Hankel determinantal rings have rational singularities, Adv. Math., 335, 111-129, (2018) Determinantal varieties, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Special algebraic curves and curves of low genus
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Sancho de Salas, Fernando, Number of singularities of a foliation on \(\mathbb{P}^n\), Proc. Am. Math. Soc., 130, 1, 69-72, (2002), (electronic) Singularities of holomorphic vector fields and foliations, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Group actions on varieties or schemes (quotients), Linkage, complete intersections and determinantal ideals, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Actions of groups on commutative rings; invariant theory, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Linkage, complete intersections and determinantal ideals, Graphs and abstract algebra (groups, rings, fields, etc.), Graphs and linear algebra (matrices, eigenvalues, etc.), Determinantal varieties, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Lê Tuân Hoa and Wolfgang Vogel, Castelnuovo-Mumford regularity and hyperplane sections, J. Algebra 163 (1994), no. 2, 348 -- 365. Projective techniques in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Vanishing theorems in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Projective techniques in algebraic geometry, Determinantal varieties, Algebraic moduli problems, moduli of vector bundles, Sheaves in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Software, source code, etc. for problems pertaining to commutative algebra, Special divisors on curves (gonality, Brill-Noether theory), Computational aspects of algebraic curves, Projective and enumerative algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Runar Ile, Obstructions to deforming modules, Ph.D. thesis, University of Oslo, 2001. Deformations and infinitesimal methods in commutative ring theory, Local deformation theory, Artin approximation, etc., Syzygies, resolutions, complexes and commutative rings, Cohen-Macaulay modules, Étale and flat extensions; Henselization; Artin approximation
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Determinantal varieties, Linkage, complete intersections and determinantal ideals, Projective techniques in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Birational geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Projective and free modules and ideals in commutative rings, Embeddings in algebraic geometry, Projective techniques in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Syzygies, resolutions, complexes and commutative rings, Vanishing theorems in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), Determinantal varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Computational aspects in algebraic geometry, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Lascoux, A; Pragacz, P, Operator calculus for \({\widetilde{Q}}\)-polynomials and Schubert polynomials, Adv. Math., 140, 1-43, (1998) Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations, Determinantal varieties, Enumerative problems (combinatorial problems) in algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Complete intersections, Commutative semigroups
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Monin, L.; Rana, J., Equations of \(\overline{M}_{0, n}\), (Combinatorial Algebraic Geometry, Fields Inst. Commun., vol. 80, (2017), Fields Inst. Res. Math. Sci Toronto, ON), 113-132 Families, moduli of curves (algebraic), Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Reid, M., Gorenstein in codimension 4--the general structure theory, Adv. Stud. Pure Math., 65, 201-227, (2015) Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Structure, classification theorems for modules and ideals in commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Denaeghel, K.; Den Bergh, M. Van: On incidence between strata of the Hilbert scheme of points on P2, Math. Z. 255, 897-922 (2007) Parametrization (Chow and Hilbert schemes), Syzygies, resolutions, complexes and commutative rings, Deformations and infinitesimal methods in commutative ring theory, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Singularities in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Complete intersections, Residues for several complex variables
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Families, moduli, classification: algebraic theory, Determinantal varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties SPARK (2014). http://www.spark-2014.org Determinantal varieties, Varieties and morphisms, Vector spaces, linear dependence, rank, lineability
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Knutson, [Knutson and Miller 05] A.; Miller, E., Gröbner Geometry of Schubert Polynomials., Ann. Math. (2), 161, 3, 1245-1318, (2005) Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Linkage, complete intersections and determinantal ideals, Classical problems, Schubert calculus, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symmetric functions and generalizations
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Brinkmann, Daniel, The Hilbert-Kunz functions of two-dimensional rings of type ADE, J. Algebra, 469, 358-389, (2017) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Cohen-Macaulay modules, Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Singularities of surfaces or higher-dimensional varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Representation theory for linear algebraic groups, Actions of groups on commutative rings; invariant theory
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Determinantal varieties, Linkage, complete intersections and determinantal ideals, Pencils, nets, webs in algebraic geometry, Multilinear algebra, tensor calculus
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties M. Domokos, ''Gröbner bases of certain determinantal ideals,'' Beiträge Algebra Geom., 40, No. 2, 479--493 (1999). Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Linkage, complete intersections and determinantal ideals, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Linkage, complete intersections and determinantal ideals, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Real algebraic sets, General convexity, Syzygies, resolutions, complexes and commutative rings
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Syzygies, resolutions, complexes and commutative rings, Local cohomology and commutative rings, Local cohomology and algebraic geometry
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Determinantal varieties, Associated manifolds of Jordan algebras, Toeplitz operators, Hankel operators, Wiener-Hopf operators
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Mukai, S., Curves and \textit{K}3 surfaces of genus eleven, Moduli of Vector Bundles, Lect. Notes Pure Appl. Math., 179, 189-197, (1996) Families, moduli of curves (algebraic), \(K3\) surfaces and Enriques surfaces, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties DOI: 10.1007/s00209-007-0181-9 Syzygies, resolutions, complexes and commutative rings, Classical problems, Schubert calculus
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Roberts, J.; Weyman, J.: A short proof of a theorem of M. Hashimoto. J. algebra 134, No. 1, 144-156 (1990) Linkage, complete intersections and determinantal ideals, Determinantal varieties
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Briales, A., Campillo, A., Pisón, P., Vignerón, A.: Minimal resolution of lattices and integer linear programing. Revista Matemática Iberoamericana 19(2), 287-306 (2003) Syzygies, resolutions, complexes and commutative rings, Toric varieties, Newton polyhedra, Okounkov bodies, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation
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Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Syzygies, resolutions, complexes and commutative rings, Determinantal varieties Linear equations (linear algebraic aspects), Dedekind, Prüfer, Krull and Mori rings and their generalizations, Determinantal varieties
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