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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 History of commutative algebra, Biographies, obituaries, personalia, bibliographies, Multiplicity theory and related topics, Syzygies, resolutions, complexes and commutative rings, 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 A. R. Kustin and B. Ulrich, A family of complexes associated to an almost alternating map, with applications to residual intersections, preprint. Linkage, complete intersections and determinantal ideals, Class groups, 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, Syzygies, resolutions, complexes and commutative rings, 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 Syzygies, resolutions, complexes and commutative rings, Determinantal varieties, Combinatorial aspects of groups and algebras, Combinatorial aspects of representation 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 Commutative Artinian rings and modules, finite-dimensional algebras, Polynomial rings and ideals; rings of integer-valued polynomials, Syzygies, resolutions, complexes and commutative rings, Sheaves 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 J. Weyman, \textit{Cohomology of vector bundles and syzygies}, Cambridge University Press, Cambridge U.K. (2003). Syzygies, resolutions, complexes and commutative rings, Representation theory for linear algebraic groups, Combinatorial aspects of representation theory, Linkage, complete intersections and determinantal ideals, Determinantal varieties, Global theory and resolution of singularities (algebro-geometric aspects), Research exposition (monographs, survey articles) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to 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, Elementary questions in algebraic geometry, Projective techniques in algebraic geometry, Determinantal varieties, Homogeneous spaces 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 Aprodu, M, On the vanishing of higher syzygies of curves, Math. Zeit., 241, 1-15, (2002) Special divisors on curves (gonality, Brill-Noether theory), Syzygies, resolutions, complexes and commutative rings, 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 Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, Combinatorial aspects of representation 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 Gelfand, I.M., Kapranov, M.M., Zelevinsky, A.V.: Discriminants, Resultants and Multidimensional Determinants. Modern Birkhäuser Classics. Birkhäuser Boston, Inc., Boston, MA (2008). Reprint of the 1994 edition Research exposition (monographs, survey articles) pertaining to algebraic geometry, Determinantal varieties, Toric varieties, Newton polyhedra, Okounkov bodies, Linkage, complete intersections and determinantal ideals, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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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, 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 DOI: 10.1016/0021-8693(89)90244-5 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), 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 G. Boffi,The universal form of the Littlewood-Richardson rule, Advances Math.68 (1988), 64--84. Determinantal varieties, Endomorphism rings; matrix rings, Projective and free modules and ideals in commutative rings, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Polynomial rings and ideals; rings of integer-valued polynomials
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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 Zaare-Nahandi, R. and Zaare-Nahandi, R., The minimal free resolution of a class of square-free monomial ideals, J. Pure Appl. Algebra 189 (2004), 263--278. Syzygies, resolutions, complexes and commutative rings, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems in algebraic geometry, 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 Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Exterior algebra, Grassmann algebras, Determinantal varieties, Endomorphism rings; matrix rings, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure
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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, Determinantal varieties, Cohen-Macaulay 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 DOI: 10.2307/2154537 Projective techniques in algebraic geometry, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Vector and tensor algebra, theory of invariants, 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 Boocher, A., Free resolutions and sparse determinantal ideals, \textit{Math. Res. Lett.}, 19, 4, 805-821, (2012) Determinantal 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 Restuccia G.,On the ideal of relations of a symmetric algebra, Rend. Sem. Mat., Univ. Torino,49 2 (1991), 281--298. Homological dimension and commutative rings, 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 Botbol, Nicolás: The implicitization problem for \(\varphi \):Pn\?\((P1)\)n+1. J. algebra 322, No. 11, 3878-3895 (2009) Rational and birational maps, Syzygies, resolutions, complexes and commutative rings, Solving polynomial systems; resultants, Computational homological algebra, Computational aspects 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 Linkage, complete intersections and determinantal ideals, Determinantal 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 Roberts, Paul, Intersection theorems, 417-436, (1989), New York, NY Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Linkage, complete intersections and determinantal ideals, 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 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Syzygies, resolutions, complexes and commutative rings, 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 Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Graded rings, 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 R.M. Miró-Roig, On the multiplicity conjecture, in: Contemp. Math., in press Multiplicity theory and related topics, Syzygies, resolutions, complexes and commutative rings, 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 Joël Merker, ''Jets de Demailly-Semple d'ordres 4 et 5 en dimension 2'', Int. J. Contemp. Math. Sci.3 (2008) no. 17-20, p. 861-933 Actions of groups on commutative rings; invariant theory, Hyperbolic and Kobayashi hyperbolic manifolds, Hypersurfaces and algebraic geometry, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, Grassmannians, Schubert varieties, flag manifolds
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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. Sam: Equations and syzygies of some Kalman varieties, Proc. Amer. Math. Soc. 140 (2012), 4153-4166. Determinantal varieties, Eigenvalues, singular values, and eigenvectors, Applications of commutative algebra (e.g., to statistics, control theory, optimization, 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 Linkage, complete intersections and determinantal ideals, Syzygies, resolutions, complexes and commutative rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Rational and birational maps, Birational automorphisms, Cremona group and generalizations, Dimension theory, depth, related commutative rings (catenary, etc.), Complete intersections, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds
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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 Combinatorial aspects of commutative algebra, Polyominoes, Structure, classification theorems for modules and ideals in commutative rings, Cohen-Macaulay modules, Syzygies, resolutions, complexes and commutative rings, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), 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 Artale, M.: The ''counting argument'' and applications of the ''acyclicity lemma''. Rend. sem. Mat. univ. Politec. Torino 43, 1 (1985) Determinantal varieties, Representations of infinite symmetric groups
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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, Local theory in algebraic geometry, Projective techniques in algebraic geometry, Determinantal varieties, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes
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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 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 Campillo, A.; Giménez, Ph.: Graphes arithmétiques et syzygies. C. R. Acad. sci. Paris 324, 313-316 (1997) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Syzygies, resolutions, complexes and commutative rings, 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 Tyurin, A.N.: On the superpositions of mathematical instantons. In: Arithmetic and Geometry, II. Progress in Mathematics, vol. 36, pp. 430-450. Birkhäuser, Boston (1983) Holomorphic bundles and generalizations, 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 10.1007/s00222-015-0595-7 Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym 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 Real algebra, Real algebraic and real-analytic 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 A. Dimca and G. Sticlaru, Syzygies of Jacobian ideals and weighted homogeneous singularities, J. Symbolic Comput. 74 (2016), 627-634. Hypersurfaces and algebraic geometry, Complex surface and hypersurface singularities, Singularities 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 Buczyński, J.; Jelisiejew, J., Finite schemes and secant varieties over arbitrary characteristic, Differential Geom. Appl., 55, 13-67, (2017) Determinantal varieties, Local deformation theory, Artin approximation, etc., Parametrization (Chow and Hilbert schemes), Schemes and morphisms, Homogeneous spaces 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 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Configurations and arrangements of linear subspaces
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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 Görtz, U., Wedhorn, T.: Algebraic Geometry I. Vieweg+Teubner, Wiesbaden (2010) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Schemes and morphisms, Divisors, linear systems, invertible sheaves, Group schemes, Determinantal varieties, Group actions on varieties or schemes (quotients), Singularities 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, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), 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 Real algebraic sets, Determinantal varieties, Vector spaces, linear dependence, rank, lineability, Determinants, permanents, traces, other special matrix functions, Eigenvalues, singular values, and eigenvectors, Minimal surfaces and optimization, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
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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 Jeffries, J.; Montaño, J.; Varbaro, M., Multiplicities of classical varieties, Proc. Lond. Math. Soc. (3), 110, 1033-1055, (2015) Multiplicity theory and related topics, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Integral closure of commutative rings and ideals, Determinantal varieties, Combinatorial aspects of 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 TU (L.) . - The Connectedness of Symmetric and Skew-Symmetric Degeneracy Loci : Even Ranks , Trans. Amer. Math. Soc., t. 313, 1989 , p. 381-392. MR 89i:14043 | Zbl 0689.14024 Determinantal varieties, Topological properties in algebraic geometry, 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 V. VINNIKOV, \textit{Self-adjoint determinantal representations of real irreducible cubics}, Operator Theory: Advances and Applications, 19 (1986), 415--442. Determinantal varieties, Matrices over function rings in one or more variables, Families, moduli of curves (algebraic)
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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: 10.5802/aif.1526 Singularities 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 P. Vermeire, Some results on secant varieties leading to a geometric flip construction,Compositio Math. 125 (2001), 263--285. Rational and birational maps, Syzygies, resolutions, complexes and commutative rings, Vanishing theorems in algebraic geometry, 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 E. Park, On syzygies of divisors on rational normal scrolls, Math. Nachr. 287 (2014), no. 11-12, 1383--1393. 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 E. S. Golod, ''Homologies of the Shafarevich complex and noncommutative complete intersections,'' Fund. Prikl. Mat., 5, No. 1, 85--95 (1999). Syzygies, resolutions, complexes in associative algebras, Differential graded algebras and applications (associative algebraic aspects), Linkage, complete intersections and determinantal ideals, Complete intersections, Rings arising from noncommutative 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 O'Carroll L, Generalized fractions, determinantal maps, and top cohomology modules, J. Pure Appl. Algebra 32(1) (1984) 59--70 Rings of fractions and localization for commutative rings, Local rings and semilocal rings, Local cohomology and algebraic geometry, Commutative Noetherian rings and modules, Commutative rings and modules of finite generation or presentation; number of generators, 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, Plane and space curves, 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 Configurations and arrangements of linear subspaces, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Combinatorial aspects of commutative algebra, 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 Lazarsfeld R, Pareschi G, Popa M: Local positivity, multiplier ideals, and syzygies of abelian varieties. Algebra Number Theory 2011,5(2):185--196. 10.2140/ant.2011.5.185 Algebraic theory of abelian varieties, Effectivity, complexity and computational aspects of algebraic geometry, Vanishing theorems 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 DOI: 10.1007/BF02874943 Toric varieties, Newton polyhedra, Okounkov bodies, Complete intersections, Determinantal varieties, Étale and other Grothendieck topologies and (co)homologies, Cohomology of groups
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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 \beginbarticle \bauthor\binitsH. \bsnmBrenner and \bauthor\binitsA. \bsnmKaid, \batitleA note on the weak Lefschetz property of monomial complete intersections in positive characteristic, \bjtitleCollect. Math. \bvolume62 (\byear2011), page 85-\blpage93. \endbarticle \endbibitem Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Commutative Artinian rings and modules, finite-dimensional algebras, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Other special types of modules and ideals in 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 J.-C. Faugère, M. Safey El Din, and P.-J. Spaenlehauer, \textit{On the complexity of the generalized MinRank problem}, J. Symbolic. Comput., 55 (2013), pp. 30--58. Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Analysis of algorithms and problem complexity, Determinantal varieties, Vector spaces, linear dependence, rank, lineability, Cryptography
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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. Casanellas and R. M. Miró-Roig, Gorenstein liaison of divisors on standard determinantal schemes and on rational normal scrolls, J. Pure Appl. Algebra 164 (2001), no. 3, 325 -- 343. Linkage, Determinantal varieties, Rational and ruled 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 M. Brodmann, W. Lee, E. Park, P. Schenzel, On surfaces of maximal sectional regularity, in preparation. Special algebraic curves and curves of low genus, 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 Beauville, A.: Surfaces algébriques complexes, Astérisque 54, Soc. Math. de France (1978) Binomial coefficients; factorials; \(q\)-identities, Combinatorial aspects of representation theory, Congruences; primitive roots; residue systems, Determinantal varieties, Hermitian, skew-Hermitian, and related matrices
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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 E.: Fat points schemes on a smooth quadric. J. Pure Appl. Algebra 162, 183--208 (2001) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Schemes and morphisms, Complete intersections, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Syzygies, resolutions, complexes and commutative rings, 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 Frank-Olaf Schreyer. Matrix factorizations and families of curves of genus 15. {Algebr. Geom.}, 2(4):489--507, 2015. DOI 10.14231/AG-2015-021; zbl 1342.14057; MR3403238; arxiv 1311.6962 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 Schöbel, Konrad, An algebraic geometric approach to separation of variables, Research Series, (2015), Springer Spektrum Research exposition (monographs, survey articles) pertaining to partial differential equations, Moduli problems for differential geometric structures, PDEs on manifolds, Determinantal varieties, Symmetric functions and generalizations, Differential geometry of webs, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Invariance and symmetry properties for PDEs on manifolds
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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, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Configurations and arrangements of linear subspaces, Syzygies, resolutions, complexes and commutative rings, Combinatorial aspects of matroids and geometric lattices
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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 Combinatorial aspects of representation theory, Determinantal varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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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 Geramita, A.V., Harima, T., Shin, L.Y.S.: Extremal Point Sets and Gorenstein Ideals. Adv. Math. 152, 78--119 (2000) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), 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 J. Draisma and E. Horobeţ: \textit{The average number of critical rank-one approximations to a tensor}, arxiv:1408.3507. Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.), 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 Erman D., Velasco M.: syzygetic approach to the smoothability of 0-schemes of regularity two. Adv. Math. 224(3), 1143--1166 (2010) 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, Commutative Artinian rings and modules, finite-dimensional algebras
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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 Mora, T.: Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology, Encyclopedia of Mathematics and Its Applications 99. Cambridge University Press, Cambridge (2005) Computational aspects of algebraic 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 Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings, Curves 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 D. Eisenbud, Homological algebra on a complete intersection, with an application to group representations, Trans. Amer. Math. Soc. 260 (1980), no. 1, 35-64. Homological methods in commutative ring theory, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Complete intersections, Regular 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 Syzygies, resolutions, complexes and commutative rings, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Toric varieties, Newton polyhedra, Okounkov bodies, Combinatorial aspects of 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 10.14231/AG-2016-010 Embeddings in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves
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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 Vezzosi, G; Vinogradov, AM, On higher order analogues of de Rham cohomology, Diff. Geom. Appl., 19, 29-59, (2003) Commutative rings of differential operators and their modules, Rings of differential operators (associative algebraic aspects), Differential complexes, de Rham 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 Caviglia, G; Conca, A, Koszul property of projections of the Veronese cubic surface, Adv. Math., 234, 404-413, (2013) Syzygies, resolutions, complexes and commutative rings, Special 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 Syzygies, resolutions, complexes and commutative rings, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, 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 Divisors, linear systems, invertible sheaves, 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 Morales, M, Simplicial ideals, 2-linear ideals and arithmetical rank, J. Algebra, 324, 3431-3456, (2010) Polynomial rings and ideals; rings of integer-valued polynomials, Syzygies, resolutions, complexes and commutative rings, Special 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 Schöbel, Konrad, The variety of integrable Killing tensors on the 3-sphere, SIGMA, 10, (2014) Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Families, moduli of curves (algebraic), Determinantal varieties, Applications of global differential geometry to the sciences, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
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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, Determinants, permanents, traces, other special matrix functions, Surfaces in Euclidean and related 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 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Syzygies, resolutions, complexes and commutative rings, Rational and ruled 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 Algebraic theory of abelian varieties, Divisors, linear systems, invertible sheaves, 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 Buczyńska, W.; Buczyński, J., Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes, J. Algebraic Geom., 23, 63-90, (2014) Projective techniques 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 DOI: 10.1080/00927879308824821 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities in algebraic geometry, Ideals and multiplicative ideal theory in 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 Secant varieties, tensor rank, varieties of sums of powers, Varieties of low degree, 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 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Syzygies, resolutions, complexes and commutative rings, Commutative semigroups, Semigroup rings, multiplicative semigroups of rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Polynomial rings and ideals; rings of integer-valued polynomials, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes
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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 Dickenstein, A.; Emiris, I.: Multihomogeneous resultant matrices. (2002) Symbolic computation and algebraic computation, 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 Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to commutative algebra, Proceedings, conferences, collections, etc. pertaining to combinatorics, Syzygies, resolutions, complexes and commutative rings, Commutative Artinian rings and modules, finite-dimensional algebras, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Combinatorial aspects of commutative algebra, Combinatorial aspects of simplicial complexes, Combinatorics of partially ordered sets, Algebraic aspects of posets, Graded rings, Actions of groups on commutative rings; invariant theory, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Group actions on varieties or schemes (quotients), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Complete intersections, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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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 Chardin, Marc, Bounds for Castelnuovo--Mumford regularity in terms of degrees of defining equations.Commutative algebra, singularities and computer algebra, Sinaia, 2002, NATO Sci. Ser. II Math. Phys. Chem. 115, 67-73, (2003), Kluwer Acad. Publ., Dordrecht Homological functors on modules of commutative rings (Tor, Ext, etc.), Linkage, complete intersections and determinantal ideals, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Syzygies, resolutions, complexes and commutative rings, Local cohomology and 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 A. Gorodentsev, A. Khoroshkin, A. Rudakov, \textit{On syzygies of highest weight or- bits}, in: \textit{Moscow Seminar on Mathematical Physics} II, Amer. Math. Soc. Transl. Ser. 2, Vol. 221, Amer. Math. Soc., Providence, RI, 2007, pp. 79-120. Syzygies, resolutions, complexes and commutative rings, Syzygies, resolutions, complexes in associative algebras, Homological functors on modules (Tor, Ext, etc.) in associative algebras, Cohomology of Lie (super)algebras, Homological methods in Lie (super)algebras, Actions of groups on commutative rings; invariant theory, 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 Linkage, complete intersections and determinantal ideals, Dimension theory, depth, related commutative rings (catenary, etc.), 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 Syzygies, resolutions, complexes and commutative rings, Curves in algebraic geometry, 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 Computational aspects of algebraic curves, Elliptic curves over global fields, Determinantal varieties, Plane and space curves, Numerical aspects of computer graphics, image analysis, and computational 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, Rational and ruled surfaces, 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, Configurations and arrangements of linear subspaces, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Ideals and multiplicative ideal theory in 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, Surfaces of general type
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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 23.J.E. Goodman, A.~Holmsen, R.~Pollack, K.~Ranestad, F.~Sottile, Cremona convexity, frame convexity, and a theorem of Santaló. Adv. Geom. 6, 301-322 (2006) Helly-type theorems and geometric transversal theory, Grassmannians, Schubert varieties, flag manifolds, 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 Syzygies, resolutions, complexes and commutative rings, Torsion theory for commutative rings, Combinatorial aspects of simplicial complexes, Varieties 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 Seunghun Lee, Filtrations and local syzygies of multiplier ideals, J. Algebra 315 (2007), no. 2, 629 -- 639. Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves
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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 J. Sidman, On the Castelnuovo-Mumford regularity of products of ideal sheaves, preprint. Ideals and multiplicative ideal theory in commutative rings, Vanishing theorems 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 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Structure, classification theorems for modules and ideals in commutative rings, Cohen-Macaulay modules, Syzygies, resolutions, complexes and commutative rings, Surfaces of general type
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