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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) uniformly locally finite triangulation; complex projective varieties with conical singularities; real cohomology group; canonical combinatorical Laplace operator; open manifolds; infinite simplicial complexes; \(L_ 2\)-cohomology; Sobolev cohomology; analytical \(L_ 2\)-cohomology of open oriented Riemannian manifolds; de Rham-Hodge isomorphism in the \(L_ 2\)- category; Hirzebruch's conjecture; intersection homology
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) graded Betti numbers; minimal resolution conjecture; exterior algebra; Bernstein-Gelfand-Gelfand correspondence D. Eisenbud, S. Popescu, F.-O. Schreyer and C. Walter, Exterior algebra methods for the minimal resolution conjecture, Duke Math. J. 112 (2002), 379-395.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) arithmetically Cohen-Macaulay; Betti numbers; Hilbert function Valla, G.: On the Betti numbers of perfect ideals. Compositio math. 91, 305-319 (1994)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) ACM bundles; arithmetically Gorenstein sets of points; arithmetically Cohen-Macaulay vector bundles; sextic surface Patnott, M, The \(h\)-vectors of arithmetically Gorenstein sets of points on a general sextic surface in \({\mathbb{P}}^3\), J. Algebra, 403, 345-362, (2014)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) quasi-complete intersection; arithmetically Cohen-Macaulay; arithmetically normal; low codimension
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Serre duality; arithmetically semiample sheaf; Cohen-Macaulay variety; projective arithmetic variety C. GASBARRI , Le théorème d'annulation de Serre sur les variétés arithmétiques , J. of Algebraic Geometry, Vol. 5, 1996 , pp. 571-581. MR 97c:14023 | Zbl 0895.14008
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) exterior power operations; binary complexes; higher algebraic \(K\)-theory; lambda ring; Dold-Kan correspondence; Dold-Puppe construction; simplicial tensor product; plethysm problem; polynomial functor; Schur algebra; \(K\)-theory of schemes; exterior powers; lambda operations Harris, T., Köck, B., Taelman, L.: Exterior power operations on higher K-groups via binary complexes, preprint, arXiv:1607.01685v2 (2016)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) free modules; affine algebraic group schemes; finite-dimensional modules; Steinberg modules Donkin, S.: On free modules for finite subgroups of algebraic groups, J. lond. Math. soc. (2) 55, No. 2, 287-296 (1997)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Babylonian tower theorems; vector bundles; Cohen-Macaulay schemes
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; noncommutative blowing up; Noetherian graded rings; sporadic ideals; divisor layering; graded quotient ring; twisted homogeneous coordinate ring; elliptic algebra; exceptional line modules; Godie torsion module D. Rogalski, S. J. Sierra and J. T. Stafford, Noncommutative blowups of elliptic algebras, Algebr. Represent. Theory, (2014), 1--39.Zbl 06445654 MR 3336351
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) hyperplane arrangements; ideals; freeness; Cohen-Macaulay algebras
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) flat morphism of complex spaces; Cohen-Macaulay fibres
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) hypersurface singularity; formal power series ring; maximal Cohen-Macaulay; higher order syzygy
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen-Macaulay rings; CM varieties; \(\Delta\)-genus; classification of polarized varieties
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) tame Cohen-Macaulay type; deformations; curve singularities of infinite type Y. \textsc{Drozd}~\textsc{and} G.-M. \textsc{Greuel}, Cohen-Macaulay module type, Compos. Math. \textbf{89} (1993), 315-338.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) semigroup rings; simplicial affine semigroups; Apéry sets; minimal presentations García-Sánchez, P. A.; Rosales, J. C., On Buchsbaum simplicial affine semigroups, Pacific J. Math., 202, 2, 329-339, (2002)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Hochschild cohomology; smooth separated schemes; relative tangent sheaves; cohomology sheaves; continuous Hochschild cochains; injective resolutions; Hochschild complexes; derived categories
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Gorenstein liaison; arithmetically Cohen-Macaulay subscheme; reduced scheme; fat point; glicci \beginbarticle \bauthor\binitsJ. \bsnmMigliore and \bauthor\binitsU. \bsnmNagel, \batitleGlicci ideals, \bjtitleCompos. Math. \bvolume149 (\byear2013), no. \bissue9, page 1583-\blpage1591. \endbarticle \OrigBibText J. Migliore and U. Nagel, Glicci ideals, Compos. Math. 149 (2013), no. 9, 1583-1591. \endOrigBibText \bptokstructpyb \endbibitem
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) parametrization; Gorenstein algebra; Artinian algebra; liaison; licci; Cohen-Macaulay; canonical module; normal module; Hilbert scheme; unobstructed Kleppe, J. O.: Maximal families of Gorenstein algebras. Trans. amer. Math. soc. 358, No. 7, 3133-3167 (2006)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Koszul algebra; minimal free resolution; Hilbert series; Poincaré-Betti series; set of points of \(\mathbb{P}^n\); Koszul filtration Conca, Aldo; Trung, Ngô Viêt; Valla, Giuseppe, Koszul property for points in projective spaces, Math. scand., 89, 201-216, (2001)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) sums of squares; spectrahedra; free resolutions; Castelnuovo-Mumford regularity Blekherman, G.; Sinn, R.; Velasco, M., Do sums of squares dream of free resolutions?, SIAM J. Appl. Algebra Geom., 1, 175-199, (2017)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) textbook; partially ordered sets; Zorn's lemma; number theory; fields; rings; abelian groups; polynomials; field extension; formal power series; polynomial rings; finite fields; power series; rational function; Bernoulli numbers; Puiseux series; Laurent series; ideals; quotient rings; factorization; Noetherian rings; prime ideals; principal ideal domains; cyclic groups; homomorphism; group action; quotient group; symmetric group; semidirect product; Sylow group; modules; free modules; commutative ring; Smith normal form; elementary divisor; Jordan form; Hermitian space; projective space; bilinear form; symplectic space; quadratic form; Kähler triples; quaternions; spinors
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) almost complete intersection; almost Cohen-Macaulay algebra; birational mapping; Castelnuovo regularity; extremal Rees algebra; Hilbert function; module of nonlinear relations; Rees algebra; relation type; Sally module Hong, J; Simis, A; Vasconcelos, WV, Extremal Rees algebras, J. Comm. Algebra, 5, 231-267, (2013)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen-Macaulay; liaison; complete intersection; C-M structures; algebraic linkage Manolache, N.: Cohen-Macaulay nilpotent structures. Rev. Roum. Math. Pures Appl.31, 563--575 (1986)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) minimal free resolution of homogeneous coordinate ring; elliptic ruled surface; very ample line bundle; adjoint bundle; Koszul cohomology; cohomology vanishings Gallego, F.J.; Purnaprajna, B.P., Higher syzygies of elliptic ruled surfaces, J. Algebra, 186, 626-659, (1996)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Gröbner bases; Hilbert functions; homogeneous rings; graded rings; Cayley-Bacharach property; gradings; minimal homogeneous system of generators; minimal resolution conjecture; multivariante Hilbert series; CoCoA; SAGBI bases; automatic theorem proving M. Kreuzer and L. Robbiano, \textit{Computational Commutative Algebra 2}, Springer Science & Business Media, 2005.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) derived categories; Fourier--Mukai functors; differential graded categories; exact functors; perfect complexes Canonaco, A.; Stellari, P., Fourier-Mukai functors: a survey, (Derived categories in algebraic geometry, EMS ser. congr. rep., (2012), Eur. Math. Soc. Zürich), 27-60
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) vector bundles; closed Cohen-Macaulay subscheme Maeda, H., Construction of vector bundles and reflexive sheaves, Tokyo J. Math., 13, 153-162, (1990)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) curve on a surface; curve of contact; locally Cohen-Macaulay curves M. Boratyński, On the curves of contact on surfaces in a projective space, Algebraic \?-theory, commutative algebra, and algebraic geometry (Santa Margherita Ligure, 1989) Contemp. Math., vol. 126, Amer. Math. Soc., Providence, RI, 1992, pp. 1 -- 8.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) generalized local cohomology functors; depth; Cohen-Macaulay ring; duality theorem Suzuki N, On the generalized local cohomology and its duality, J. Math. Kyoto Univ. 18 (1978) 71--85
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) geometric genus; arithmetic genus; Cohen-Macaulay type - , Maximal-ideal-adic filtration on Rlȷ/^.0v for normal two-dimensional singularities, Advanc- ed Studies in Pure Mathematics, 8 (1986), ''Complex Analytic Singularities, Tsukuba-Kyoto, 1984'', 633-647, KINOKUNIYA-NORTH-HOLLAND.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) finitely generated modules; stably free nonfree modules; topological vector bundles on spheres; coordinate rings Swan, R. G.: Quaternionic bundles of algebraic spheres. Rocky mountain J. Math. 26, 773-791 (1996)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) singular holomorphic foliations; invariant hypersurfaces; simplicial complexes; desingularization
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) character variety; free group; minimal generators Lawton, Sean, Minimal affine coordinates for \(\operatorname{SL}(3, \mathbb{C})\) character varieties of free groups, J. Algebra, 320, 10, 3773-3810, (2008)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) big Cohen-Macaulay; F-rational; F-regular; log terminal; multiplier ideal; perfectoid; rational; singularities; test ideal
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) constructing smooth simplicial resolutions; mixed Hodge structure; resolution of singularities J. A. Carlson, Polyhedral resolutions of algebraic varieties , Trans. Amer. Math. Soc. 292 (1985), 595-612. JSTOR:
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Residual intersection; Sliding depth; Strongly Cohen-Macaulay
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) derivations; free divisors; hypersurfaces; Castelnuovo-Mumford regularity; Hilbert function; Ulrich modules
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) graded Betti number; zero-dimensional scheme; finite set of general points; minimal resolution conjecture; points on curves Mustaţă, M., Graded Betti numbers of general finite subsets of points on projective varieties, Matematiche, 53, 53-81, (1998)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) spherical Tits buildings; symmetric spaces; curve complexes; outer space; arithmetic groups; mapping class groups; outer automorphism groups of free groups; compactifications
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) liaison; basic double link; stick figure; hyperplane arrangement; graded Betti number; simplicial polytope; Gröbner basis; Ferrers ideal; Rees algebra; vertex decomposability; unprojection
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) affine semigroup rings; Cohen-Macaulay; Gorenstein; Buchsbaum Hoa L.T., On Segre products of affine semigroup rings 110 pp 113-- (1988)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) linear projection; minimal free resolution; projective curve
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Algebra; Proceedings; Symposium; Kyoto; RIMS; relative Hopf modules; affine group schemes; Chevalley group schemes; power series rings; finitely generated rings; differential modules; Hopf- Galois extensions; graded algebra; quasi Buchsbaum rings
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) K3 surfaces; minimal resolutions; Tate conjecture; Picard numbers; orders of Brauer groups; minimal resolutions of weighted diagonal surfaces Goto Y. Arithmetic of certain weighted disgonal surfaces over finite fields. J Number Theory, 59: 37--81 (1996)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) categories of finite dimensional modules; hereditary categories of coherent sheaves; canonical algebras; path-algebras; quivers; tame concealed algebras; extended Dynkin diagrams; tubular algebras; wild quivers; Auslander-Reiten quivers; separating families; orthogonal standard tubes; preprojective components; indecomposable projectives; Auslander-Reiten components; quasitilted algebras; weighted projective lines; tilting vector bundles; minimal projective generators; right perpendicular categories; endomorphism rings; categories of finite length sheaves; relative Auslander-Reiten translations; wild tilted algebras; dimension vectors Lenzing, H.; de la Peña, J. A., Wild canonical algebras, Math. Z., 224, 403-425, (1997)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Rao functions; Hilbert function; arithmetically Cohen-Macaulay curve; arithmetically Gorenstein-curve Di Gennaro R.: On curves on rational normal scroll surfaces. Rend. Sem. Mat. Univ. Politec. Torino 62(3), 225--234 (2004)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) tropical variety; constant coefficient case; Grobner fan; generic initial ideals; Cohen-Macaulay; multiplicity; depth Römer, T.; Schmitz, K.: Algebraic properties of generic tropical varieties. Algebra number theory 4, No. 4, 465-491 (2010)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) quasi-log schemes; basepoint-free theorem; minimal model program O. Fujino, Basepoint-free theorem of Reid-Fukuda type for quasi-log schemes. (to appear in Publ. Res. Inst. Math. Sci.).
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Sklyanin algebras; Grothendieck categories; noncommutative curves; noncommutative projective geometry; graded rings; full subcategories; categories of graded modules; Krull dimension; non-commutative schemes; quasi-schemes; quasi-coherent sheaves
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) graded modules; level algebras; Hilbert function; inclusion-exclusion Dan Laksov, On Zanello's lower bound for level algebras, Proc. Amer. Math. Soc. 141 (2013), no. 5, 1519 -- 1527.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Matrids; Fat points; Free Resolutions; Hilbert Function Guardo, E.; Harbourne, B.: Configuration types and cubic surfaces, Journal of algebra 320, 3519-3533 (2008)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) syzygy modules over graded hypersurface rings; rank Herzog, J., Sanders, H.: Indecomposable syzygy-modules of high rank over hypersurface rings. Preprint (1986), to appear in J. Pure Appl. Alg.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Burch rings; Burch index; free resolutions; linearity of syzygies; summands of syzygies
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) adjoint sheaf of ample line bundle; finite number of irregular singularities; normal irreducible Cohen Macaulay projective varieties [AS] Andreatta, M., Sommese, A.J.: On the adjunction mapping for singular projective varieties. Forum Math.1, 143-152 (1989)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) local cohomology groups of graded modules; local cohomology groups of quasi-coherent sheaves Bueso, J. L.; Torrecillas, B.; Verschoren, A.: Local cohomology and localization. Pitman research notes in mathematics series 226 (1989)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Hilbert function; resolution; quasi-uniform; blow up; MACAULAY 2; syzygy modules Harbourne, B.: Problems and progress: a survey on fat points in \(\mathbb{P}^2\). In: Geramita, A.V. (ed.) Zero-Dimensional Schemes and Applications (Naples, 2000). Queen's Papers in Pure and Applied Mathematics, vol. 123, pp. 85-132. Queen's University, Kingston (2002)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) stably free modules; Witt group; Gersten-Grothendieck-Witt spectral sequence; three-folds J. Fasel, Stably free modules over smooth affine threefolds, Duke Math. J., 156 (2011), 33--49.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) differential forms; free resolutions; Eagon-Northcott complex; total complex; complete intersections; Euler obstructions; Chern obstructions; vanishing Chern numbers; law of conservation of number
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Jacobian ideal; Fitting ideal; affine algebra; Cohen-Macaulay affine domain Wang, H. -J.: On the Jacobian ideals of affine algebras. Comm. algebra 26, 1577-1580 (1998)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) general linear groups; polynomial algebras; natural actions; finite subgroups of \(\text{GL}_ r(K)\); free modules Bryant, R. M.: Groups acting on polynomial algebras. NATO advanced science institutes series C: Mathematical and physical sciences 471 (1995)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Frobenius splitting; F-purity; F-regularity; F-singularities; tight closure; test ideals; multiplier ideals; compatibly split ideals; log canonical; log terminal; rational singularity; Cohen-Macaulay
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) minimal free resolution; Green's conjecture; restriction to a divisor
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) stably free modules; unimodular vectors; Quillen-Suslin theorem; Hermite rings; Hermite ring conjecture; constructive mathematics I. Yengui, Stably free modules over \(R[x]\) of rank \(> \dim(R)\) are free, Math. Comp. 80 (2011), 1093--1098.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) linear codes; minimum distance; saturation; colon ideals; free resolutions Anzis, B; Tohaneanu, S, Error-correction of linear codes via colon ideals, J. Algebra (C.S.), 443, 479-493, (2015)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) virtual resolutions; toric varieties; free resolutions
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) noncommutative schemes; quantum planes; Artin-Schelter regular algebras; categories of graded right modules; finite-dimensional modules; Ore extensions; graded automorphisms; point modules Darin R. Stephenson, Quantum planes of weight (1,1,\?), J. Algebra 225 (2000), no. 1, 70 -- 92.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) linkage; liaison; Gorenstein scheme; Cohen-Macaulay sheaves Casanellas, M., Drodz, E., Hartshorne, R.: Gorenstein liaison and ACM sheaves, J. Reine Angew. Math., 584 (2005), 149--171
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Macaulayfication; Cohen-Macaulay scheme; non-Cohen-Macaulay locus
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen-Macaulay ring; Gröbner bases; determinantal ideals; Rees algebras; Knuth-Robinson-Schensted correspondence Bruns, W.; Conca, A.: KRS and powers of determinantal ideals. Compositio math. 111, 111-122 (1998)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen-Macaulay curve; Cohen-Macaulay algebras; index of speciality; number of generators Schlesinger E., J. Pure Appl. Algebra 136 (3) pp 267-- (1999)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen Macaulay module; matrix factorization; bimodule problem; bunches of chains
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) general linear Lie algebras; special linear Lie algebras; nilpotent cone; commuting varieties; commuting matrices; irreducible varieties; normal varieties; Cohen-Macaulay varieties; cohomology of Frobenius kernels; determinantal rings; good filtrations N.V. Ngo, Commuting varieties of \(r\)-tuples over Lie algebras, J. Pure Appl. Alg. 218 (2014), 1400--1417.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) quotient category; representation of quivers; path algebras; Ufnarovskii graph; mononial algebras; graded modules; Serre subcategory Holdaway, C.; Sisodia, G.: Category equivalences involving graded modules over weighted path algebras and monomial algebras, J. algebra 353, 249-260 (2012)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen-Macaulay representations; Gorenstein rings
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Rees algebra; Sylvester forms; almost Cohen-Macaulay; reduction number; monomials; initial ideal
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) bialgebra; free right modules; strong isomorphism; products; strongly \(J\)-Galois extensions Nakajima A. On isomorphism class groups of non-commutative quadratic Galois extension.Math J Okayama Univ, 1991,33: 47--64.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) graded quadratic algebras; nonsingular quadrics; coordinate rings of quantum \(2\times 2\) matrices; quantum determinants; point modules; line modules M. Vancliff, Quadratic algebras associated with the union of a quadric and a line in \(\mathbb P^3\) , J. Algebra 165 (1994), 63--90.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Gröbner bases; local algebraic geometry; singularity theory; free resolutions; computing syzygies; non-well-orderings Greuel, G. -M.; Pfister, G.: Gröbner bases and algebraic geometry. Gröbner bases and applications, 109-143 (1998)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Artin's projective geometry; graded algebras; line modules; homogenization; enveloping algebra; Verma modules Lieven Le Bruyn and S. P. Smith, Homogenized \?\?(2), Proc. Amer. Math. Soc. 118 (1993), no. 3, 725 -- 730.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen-Macaulay; \(D+M\) construction; embedding dimension; Gorenstein; idealization; Krull dimension; pullback; Zariski topology M. D'Anna, C.A. Finocchiaro, M. Fontana, New algebraic properties of an amalgamated algebra along an ideal. Commun. Algebra 44, 1836--1851 (2016)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) extremal curve; cohomology group; liaison; arithmetically Cohen-Macaulay Chiarli, N; Greco, S; Nagel, U, Surfaces in \({\mathbb{P}}^4\) with extremal general hyperplane section, J. Algebra, 257, 65-87, (2002)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) equivariant \(K\)-theory; toric varieties; graded projective modules DOI: 10.1016/j.jpaa.2008.10.010
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) local homology theory; Artinian modules; dimension; width; co-Cohen- Macaulay modules \beginbarticle \bauthor\binitsZ. \bsnmTang, \batitleLocal homology theory for artinian modules, \bjtitleComm. Algebra \bvolume22 (\byear1994), page 1675-\blpage1684. \endbarticle \endbibitem
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) typical sheaf; Cohen-Macaulay module; system of parameters; cohomological Hilbert functions
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) graph curve; reducible curve; Betti table; minimal free resolution; ACM curve
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) syzygy; minimal free resolution; rank 2 vector bundle; syzygy scheme Graf v. Bothmer, H.-C., Generic Syzygy schemes, J. Pure Appl. Algebra, 208, 867-876, (2007)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen Macaulay variety; defining equations; ideal sheaf; codimension 2 Maroscia, P., Vogel, W.: On the defining equations of points in general position in ? n . Math. Ann.269, 183-189 (1984)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Artinian modules; graded local cohomology A. Mafi, H. Saremi, ``Artinianness of certain graded local cohomology modules'', Canad. Math. Bull., 55:1 (2012), 153 -- 156
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) relative canonical sheaf; dualizing complex; base change; depth; moduli of stable varieties; degenerations; Cohen-Macaulay Zsolt Patakfalvi, Base change behavior of the relative canonical sheaf related to higher dimensional moduli, Algebra Number Theory 7 (2013), no. 2, 353 -- 378.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) symmetric algebra; tame algebra; periodic algebra; weighted surface algebra; generalized quaternion type; Cohen-Macaulay module
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) local cohomology; dualizing functor; \(n\)-dimensional local Gorenstein ring; dualizing module; Gorenstein; Cohen-Macaulay Verschoren, A.: Relative duality. Bull. soc. Math. belg. 42 (1990)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Saito's divisor; subspace of singularities; Cohen-Macaulay space; local duality; isolated singularities Alexandr. G. Aleksandrov, ``Nonisolated Saito singularities'', Mat. Sb., N. Ser.137(179) (1988) no. 4(12), p. 554-567
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) minimal free resolution; Veronese embedding; invariant theory; symbolic method; symmetric representation Maeda, T.: Minimal free resolutions of the third Veronese subring of three variables. Ryukyu math. J. 12, 9-30 (1999)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Schubert varieties; Cohen-Macaulay variety; reducing to characteristic p Ramanathan A, Schubert varieties are arithmetically Cohen-Macaulay,Invent. Math. 80 (1985) 283--294
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) fat points; minimal set of generators; minimal free resolution; Hilbert function A. Gimigliano and M. Idà, The ideal resolution for generic 3-fat points in \Bbb P², J. Pure Appl. Algebra 187 (2004), no. 1-3, 99 -- 128.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) secant variety; syzygy; minimal free resolution; linearly normal curve; smooth curve Vermeire, P.: Equations and syzygies of the first secant variety to a smooth curve. Proc. amer. Math. soc. 140, No. 8, 2639-2646 (2012)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Stiefel-Whitney classes; real analytic coherent sheaves; free resolutions
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) extremal curve; biliaison class; Rao module; locally Cohen-Macaulay space curves; connectedness of Hilbert scheme [H2]\textsc{R. Hartshorne},\textit{On the connectedness of the Hilbert Scheme of Curves in}\textbf{P}\^{}\{3\}, Communications in Algebra,\textbf{28} (12), pp. 6059-6077.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) defining equations of blow-up algebras; Rees algebras; Cohen-Macaulay domain; jacobian dual of a matrix; generators of the defining ideal DOI: 10.1016/0022-4049(95)00087-9
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