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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) syzygies; minimal free resolution
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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) Carnot groups; stratified groups; nilpotent Lie algebras; free nilpotent groups; exponential coordinates; associated Carnot-graded Lie algebra
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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) degenerations of modules; categories of finite-dimensional modules; minimal degenerations; Artin algebras Yoshino, Y, On degeneration of modules, J. Algebra, 278, 217-226, (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) quantum toric degeneration; quantum flag variety; quantum Schubert varieties; AS-Gorenstein; AS-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) rational surface singularity; non-singular point; Cohen-Macaulay point; module of differentials; vanishing of cohomology
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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 of grade 3; linkage; minimal free resolution; perfect ideal of grade 3
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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) category of motives; envelope of schemes; Chow groups; Quillen's \(K\)-theory; homotopy limits; smooth projective varieties; algebraic cycles; hyperenvelope; simplicial schemes; Grothendieck topology; weight complex; canonical triangle; product formula; Gersten complexes of schemes; homotopy equivalence; Tate motive; blow-up; pairings Gillet, H; Soulé, C, Descent, motives and K-theory, Crelle J. Reine Angew. Math., 478, 127-176, (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) Symposium; Proceedings; Kyoto (Japan); RIMS; Free resolutions; Coordinate rings; Projective 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) semialgebraic triangulations; finite simplicial complexes Coste, M.: Unicité des triangulations semi-algébriques: validité sur un corps réel clos quelconque, et effectivité forte. C. R. Acad. Sci. Paris, Sér. I Math. \textbf{312}, 395-398 (1991)
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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) finite rank torsion-free modules; Dedekind 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) minors of multidimensional matrix; Cohen-Macaulay; Koszul algebra; Segre embedding; decomposable tensor; Hilbert function; Gröbner basis; catalecticant; ample divisor; defining ideal of blowup H.T. Hà, Box-shaped matrices and the defining ideal of certain blowup surfaces , J. Pure Appl. Alg. 167 (2001), 203-224.
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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 ideal; minimal free resolution
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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) awesome module; wonderful ring; graded module; free resolution
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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) codimension 2 subvarieties; deformation of arithmetically Cohen-Macaulay varieties; linkage Giorgio Bolondi and Rosa María Miró-Roig, Deformations of arithmetically Cohen-Macaulay subvarieties of \?\(^{n}\), Manuscripta Math. 64 (1989), no. 2, 205 -- 211.
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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) Castelnuovo lemma; rational normal curve; minimal free resolution; double structure; Veronese embedding Manolache, N., Double rational normal curves with linear syzygies, Manuscr. Math., 104, 503-517, (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) Cohen-Macaulay-property; Rees ring; low multiplicity; equimultiple ideals; height; analytic spread IKEDA, S., HERRMANN, M.: Blowing up rings of low multiplicity. Proceedings of the La Rabida conference on Algebraic Geometry 1984. To appear
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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) projective space; homogeneous ideal; minimal free resolution; disjoint union of conics
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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) formal power series ring; isolated singularity; finite Cohen-Macaulay type; Auslander-Reiten quivers; almost split sequences O. Solberg, Hypersurface singularities of finite Cohen-Macaulay type, Proc. London Math. Soc. (3) 58 (1989), no. 2, 258-280.
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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 ring; Cohen-Macaulay; equimultiple ideal IKEDA, S., HERRMANN, M., ORBANZ, U.: Testing the Cohen-Macaulay property under blowing up. Comm. Algebra14(7), 1315-1342 (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) maximal Cohen-Macaulay module; reflexive module; simple surface singularity; Du Val singularity; Gorenstein ring; Bourbaki sequences; Rao correspondence; linkage classes Herzog, J.; Kühl, M., Maximal Cohen-Macaulay modules over Gorenstein rings and Bourbaki-sequences, Adv. Stud. Pure Math., 11, 65-92, (1987)
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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; differential graded algebras; resolutions of singularities; poset schemes; categorical resolution; Du Bois singularities; cubical hyperresolution; degeneration of spectral sequence
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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) Pic; line bundle defined on the general curve; family of pluricanonical curves; hyperplane section; canonical bundle; Cohen-Macaulay curves; k- gonal curves C. Ciliberto, Rationally determined line bundles on families of curves , The curves seminar at Queen's, Vol. IV (Kingston, Ont., 1985-1986), Queen's Papers in Pure and Appl. Math., vol. 76, Queen's Univ., Kingston, ON, 1986, Exp. No. D, 48.
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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; Betti numbers; liaison; arithmetically Cohen-Macaulay scheme; partial intersection 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) zero dimensional subscheme in linearly general position; locally Cohen-Macaulay scheme; first infinitesimal neighborhood; ropes; ribbon; Castelnuovo bound; arithmetic genus
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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) prounipotent group; complete group algebra; translation action; G- modules; increasing filtration; finitely generated; Poincaré series; augmentation ideal; lower central series; minimal number of generators; relations Alexander Lubotzky and Andy R. Magid, Cohomology, Poincaré series, and group algebras of unipotent groups, Amer. J. Math. 107 (1985), no. 3, 531 -- 553.
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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 rings; Cohen-Macaulay rings; regular rings; Gorenstein rings; Henselian rings; homological algebra; duality theory; formal geometry; Weierstrass preparation theorem
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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) o-minimal expansions; torsion-free group; Chevalley theorem; definable group Peterzil, On torsion free groups in o-minimal structures, Illinois J. Math. 49 (4) pp 1299-- (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) Chebyshev curves; free resolutions; rational curve arrangement; Milnor algebra; Jacobian algebra; complex Chebyshev plane curve; nodal plane curve; reducible plane curve A. Dimca and G. Sticlaru, Nearly free divisors and rational cuspidal curves, preprint (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) quasi-hull; ultraproduct; plus-closure; rational singularity; Briançon-Skoda theorem; balanced big Cohen-Macaulay algebra; tight closure; local domain of finite type; characteristic \(p\) domains H. Schoutens, Canonical big Cohen-Macaulay modules and rational singularities, Illinois Journal of Mathematics 41 (2004), 131--150.
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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) 3-dimensional singularities; minimal model; classification; cone theorem; base point free theorem; contraction theorem
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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; regular ring; link of a simplex; local; cohomology group; Koszul complex; Reisner's theorem
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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) rings of invariants; Cohen-Macaulay Campbell, HEA; Hughes, IP; Pollack, RD, Rings of invariants and \(p\)-Sylow subgroups, Can. Math. Bull., 34, 42-47, (1991)
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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) degree bounds for the defining equations; defining prime ideal; arithmetically Cohen-Macaulay non-degenerate variety; Castelnuovo variety Ngô Viêt Trung and Giuseppe Valla, Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties, Math. Ann. 281 (1988), no. 2, 209 -- 218.
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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 tangent cones; Cohen-Macaulay ring; monomial curve; Gröbner basis Arslan, F., Cohen-Macaulayness of tangent cones, \textit{Proc. Am. Math. Soc.}, 128, 2243-2251, (2000)
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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) holonomic \(D\)-modules; tight closure; Frobenius map; Matlis duality; local cohomology; intersection homology; isolated singularity; Cohen-Macaulay local rings; Riemann-Hilbert correspondence; middle perversity Blickle, Manuel, The intersection homology \(D\)-module in finite characteristic, Math. Ann., 328, 3, 425-450, (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) base point free theorem; minimal model program; vanishing theorem 6. O. Fujino, Introduction to the theory of quasi-log varieties, in Classification of Algebraic Varieties, EMS Series of Congress Reports (European Mathematical Society Zürich, 2011), pp. 289-303. genRefLink(16, 'S0129167X16501147BIB006', '10.4171%252F007-1%252F13');
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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) Castelnuovo-Mumford regularity; subspace arrangement; arithmetically Cohen-Macaulay Teitler, Z.; Torrance, D. A., Castelnuovo-Mumford regularity and arithmetic Cohen-Macaulayness of complete bipartite subspace arrangements, J. Pure Appl. Algebra, 219, 6, 2134-2138, (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) equations defining a canonical curve; genus; minimal free resolution Ellia, Philippe; Idà, Monica, Some connections between equations and geometric properties of curves in \(\operatorname{P}^3\), (Geometry and complex variables, Bologna, 1988/1990, Lect. notes pure appl. math., vol. 132, (1991), Dekker New York), 177-188, MR1151641
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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) Stein space; infinite dimensional complex projective space; infinite Grassmannian; arithmetically 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) Cohen-Macaulay subscheme of codimension two; Castelnuovo-Mumford regularity; complete intersection; Serre correspondence; vanishing theorems; strong restriction property; regularity bounds N. Chiarli, S. Greco, U. Nagel, Regularity bounds for projective subschemes of codimension two, to appear.
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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) complexes of locally free sheaves on a Noetherian scheme; first local Chern character Roberts, P.C.: MacRae invariant and the first local chern character. Trans. Am. Math. Soc. 300, 583--591 (1987)
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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) cohomology; Cohen-Macaulay; Gorenstein; polynomial algebra; desingularization; rational singularities; commuting variety; complex
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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 space curves; smoothable CM curve; deformation to a smooth curve; homogeneous coordinate ring; relations between the generators; nonsmoothable curves Sauer, T.: Smoothing projectively Cohen-Macaulay space curves. Math. Ann. 272: 83--90 (1985)
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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) numerical semigroup; analytically irreducible local ring; conductor; Cohen-Macaulay type A. Oneto, E. Zatini, Classification of one-dimensional analytically irreducible local domains by a length inequality, in preparation
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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; hypersurfaces; arithmetically Cohen-Macaulay Mohan Kumar N., Rao A.P., Ravindra G.V., Arithmetically Cohen-Macaulay bundles on hypersurfaces, Comment. Math. Helv., 2007, 82(4), 829--843
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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) transversal monomial ideal; Gorenstein complex; Buchsbaum complex; shellable simplicial complex; Eagon-Northcott resolution; Hilbert series; finite free resolution; pluri-circulant matrix; generic multiple points 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.
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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) Betti table; minimal free resolution; Boji-Seidenberg theory; Ulrich sheaf; cohomology table of a sheaf; pure resolution. Eisenbud, David; Schreyer, Frank-Olaf, Boij-Söderberg theory, (Combinatorial aspects of commutative algebra and algebraic geometry, Abel symp., vol. 6, (2011), Springer Berlin), 35-48, MR2810424
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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) normal surface; Hilbert-Samuel function; Cohen-Macaulay Moralès, M.: Clôture intégrale d'idéaux et anneaux gradués Cohen-Macaulay. Géométrie algébrique et applications (1987)
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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) pfaffians; Betti numbers; plethysm formulas; determinantal ideal; syzygy; characteristic; minimal free resolution
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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) maximal arithmetic genus; locally Cohen-Macaulay equidimensional curves Beorchia, On the Arithmetic Genus of Locally Cohen-Macaulay Space Curves, Intern. J. of Math. 6 pp 491-- (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) reductive monoids; Cohen-Macaulay varieties; spherical varieties A. Rittatore, Reductive embeddings are Cohen--Macaulay, Proc. Amer. Math. Soc. 131 (2003), no. 3, 675--684.
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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) complex of locally free modules; noetherian scheme P. Roberts, Le théorème d'intersection, C.R. Acad. Sci. Paris 304 (1987), 177--180.
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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 vector bundle; arithmetically Cohen-Macaulay vector bundle; ruled surface; blowing-up
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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) nef and big line bundle; abelian variety; Calabi-Yau variety; Fano variety; Castelnuovo-Harris bound; normal variety; Gorenstein variety; Cohen-Macaulay variety DOI: 10.1007/s00229-003-0434-9
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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; hypersurfaces; arithmetically Cohen-Macaulay Chiantini, L.; Madonna, C. K., ACM bundles on general hypersurfaces in \(\mathbb{P}^5\) of low degree, Collect. Math., 56, 1, 85-96, (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) noncommutative crepant resolution; noncommutative quasi-resolution; Morita equivalent; derived equivalent; Auslander-Gorenstein algebra; Auslander regular algebra; Cohen-Macaulay algebra; dimension function
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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) \(S_2\) equidimensional scheme; degenerate general hyperplane section; Cohen-Macaulay curve Ballico, E.; Chiarli, N.; Greco, S.: Projective schemes with degenerate general hyperplane section. Beiträge algebra geom. 40, 565-576 (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) graded modules; schemes; regularity; uniform position principle
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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; Hartshorne-Rao module; Hilbert scheme; hyperplane section Ballico E.,Life and death of a cohomology class, J. Algebra,141 (1991), pp. 265--274.
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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) base point free linear system; Galois covering; minimal surface of general type; divisor; fundamental group [CatTov] Catanese, F., Tovena, F.: Vector bundles with zero discriminant and fundamental groups of algebraic surfaces. In: Complex Algebraic Varieties. (Lect. Notes Math., vol. 1507, pp. 51-70) Berlin Heidelberg New York: Springer 1992
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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) theory of invariants; algebra of invariants; algebra of symmetric polynomials; Cohen-Macaulay rings; Gorenstein rings; groups generated by pseudoreflections; polynomial algebras L.~Smith. \textit{Polynomial invariants of finite groups}, volume~6 of \textit{Research Notes in Mathematics}. A K Peters Ltd., Wellesley, MA, 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) weight ring; weight variety; Cohen-Macaulay ring; toric degeneration; Gelfand-Tsetlin pattern
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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; arithmetically Cohen-Macaulay rings; partitions; set of points in multiprojective space Van Tuyl, A.: The Hilbert functions of ACM sets of points in \(Pn1{\times}\cdots{\times}\)Pnk. J. algebra 264, 420-441 (2003)
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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 graded category; simplicial category; Dold-Kan correspondence; Quillen model structure; non-abelian Hodge theory Tabuada (G.).â Differential graded versus simplicial categories. Topology Appl. 157, no. 3, p. 563-593 (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) Schottky's relation; open problems; theta functions; Siegel half-space; graded ring; Siegel modular forms; Thetanullwerte; generators; Jacobi formula; theta series with harmonic coefficients; moduli space; minimal basis
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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-Kunz function; Hilbert-Kunz multiplicity; characteristic \(p\); Frobenius homomorphism; representation ring; divisor class group; Harder-Narasimhan filtration; local Riemann-Roch formula; Cohen-Macaulay cones; affine semigroup ring; conic divisor; Ehrhart's theorem; quasipolynomial
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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-Macaulayness; local Cohen-Macaulay ring; linkage; geometric linkage; Gorenstein; residual intersection; rigid licci algebras; Rees- algebra Craig Huneke and Bernd Ulrich, Generic residual intersections, Commutative algebra (Salvador, 1988) Lecture Notes in Math., vol. 1430, Springer, Berlin, 1990, pp. 47 -- 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) Macaulay inverse system; vanishing ideal at \(s\) points; symbolic powers of the graded ideal; Waring problem Emsalem, J.; Iarrobino, A., Inverse system of a symbolic power \textit{I}, J. Algebra, 174, 1080-1090, (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) liaison; \(G\)-biliaison; glicci scheme; arithmetically Cohen-Macaulay scheme; arithmetically Gorenstein scheme; minor; symmetric matrix; determinantal scheme Gorla, E., The G-biliaison class of symmetric determinantal schemes, J. Algebra, 310, 2, 880-902, (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) singularities of the minimal model program; differential forms; reflexive sheaves; canonical pairs; log resolutions; Lipman-Zariski conjecture Graf, P; Kovács, SJ, An optimal extension theorem for 1-forms and the lipman-Zariski conjecture, Doc. Math., 19, 815-830, (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) order of multisecant line; arithmetically Cohen-Macaulay subscheme; Hilbert function Nollet, S., Bounds on multisecant lines, Collectanea Mathematica, 49, 447-463, (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) determinantal ideal; Cohen-Macaulay ring; Gröbner basis; straightening law Bruns, W.; Conca, A., Gröbner bases and determinantal ideals, \textit{Commutative Algebra, Singularities and Computer Algebra}, 9-66, (2003), Kluwer Academic Publishers, Dordrecht
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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; free arrangements; logarithmic derivation modules; Terao's conjecture
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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 automorphisms of free modules; group schemes; etale K-theory; Azumaya algebra; Atiyah-Hirzebruch type spectral sequence; reduced norm map William G. Dwyer and Eric M. Friedlander, Étale \?-theory of Azumaya algebras, Proceedings of the Luminy conference on algebraic \?-theory (Luminy, 1983), 1984, pp. 179 -- 191.
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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) groups of automorphisms; categories of graded left modules; Picard groups; exact sequences; inner automorphisms; rings with local units; smash products; convolution algebras Margaret Beattie and Angel del Río, The Picard group of a category of graded modules, Comm. Algebra 24 (1996), no. 14, 4397 -- 4414.
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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 in the affine algebroid e-space; derivation modules; minimal number of generators; monomial curve; almost arithmetic sequence Patil, D. P., Singh, Balwant: Generators for the derivation modules and the relation ideals of certain curves, Manuscripta. Math. 68, 327--335, (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) unexpected hypersurfaces; arithmetically Cohen-Macaulay varieties; root systems; Fermat-type arrangements; Veronese 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) partial module structures; positive filtrations; absolutely irreducible fragments; central simple algebras; sections; microstructure sheaves; Zariski filtered rings; projective schemes; graded rings; Rees rings; quantum noncommutative geometry; filtered modules DOI: 10.1080/00927879608825560
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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) dual graph; Hirsch conjecture; simplicial complexes; flag normal complexes; CAT(1) spaces; polytopes; simplex method; graph diameter Adiprasito, KA; Benedetti, B, The Hirsch conjecture holds for normal flag complexes, Math. Oper. Res., 39, 1340-1348, (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) polynomial algebra; commuting variety; desingularization; Cohen-Macaulay; rational singularities Charbonnel, J-Y; Zaiter, M, On the commuting variety of a reductive Lie algebra and other related varieties, J. Algebra, 458, 445-497, (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) Cohen-Macaulay ring, invariant polynomials, modular representation of a group, nonmodular representation of a group; symmetric algebra
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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) normal quartic surfaces; minimal resolutions; elliptic ruled surfaces; minimal model Umezu, Y.: Quartic surfaces of elliptic ruled type (1982) (preprint). 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) degrees of orbits; multiplicity-free actions; irreducible representation; Bernstein degree; highest weight modules; hermitian Lie algebras Shohei Kato and Hiroyuki Ochiai, The degrees of orbits of the multiplicity-free actions, Astérisque 273 (2001), 139 -- 158 (English, with English and French summaries). Nilpotent orbits, associated cycles and Whittaker models for highest weight representations.
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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) polyhedron; real (semi-)analytic set; functor from the category of finite simplicial complexes to the category of real algebraic sets
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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) maximal Cohen-Macaulay module; isolated singularity; higher order syzygy; matrix factorization; mapping cone; formal power series; Thom-Sebastiani problems O'carroll, L.; Popescu, D.: On a theorem of knörrer concerning Cohen-Macaulay modules, J. pure appl. Algebra 152, No. 1-3, 293-302 (2000)
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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) Boij-Söderberg theory; Betti table; cohomology table; Schur functors; Grassmannian; free resolutions; equivariant \(K\)-theory
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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) reflexive modules; hypersurfaces; tangent vector fields; logarithmic vector fields; free divisors
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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) finite free resolutions; structure theorems; Kac-Moody Lie 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) determinantal varieties; Cohen-Macaulay rings; approximation complex; ideal of relation; symmetric algebra; projective dimension two Restuccia G.,On the ideal of relations of a symmetric algebra, Rend. Sem. Mat., Univ. Torino,49 2 (1991), 281--298.
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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) curves; threefolds; arithmetically Gorenstein curves; arithemtically Cohen-Macaulay bundles; Griffiths group Ravindra, G. V., Curves on threefolds and a conjecture of Griffiths-Harris, Math. Ann., 345, 3, 731-748, (2009)
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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 schemes; Pfaffians; complete intersections; Hilbert functions; Betti numbers; arithmetically Cohen-Macaulay schemes Ragusa A., Zappalà G.: On Complete Intersections Contained in Cohen-Macaulay and Gorenstein ideals. To appear in Algebra Colloquium
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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 functions; Betti numbers; minimal system of generators; fat points; minimal free resolution Fatabbi, G., On the resolution of ideals of fat points, \textit{J. Algebra}, 242, 92-108, (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) generic position; Hilbert function; Cohen-Macaulay type Ngô Viá»\?t Trung and Giuseppe Valla, The Cohen-Macaulay type of points in generic position, J. Algebra 125 (1989), no. 1, 110 -- 119.
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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) Nagata P-ring; local flat homomorphism of local rings; P-homomorphism; complete intersection property; Cohen-Macaulay DOI: 10.1016/0021-8693(84)90164-9
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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) arithmetical rank; cactus graph; Cohen-Macaulay graph; edge ideals
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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 of the ideals of abelian surfaces; Horrocks-Mumford rank 2 vector bundle DOI: 10.1515/crll.1988.384.180
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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 complexes; stratified 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) derived category of coherent sheaves; projective \(n\)-space; stable category; \(\mathbb{Z}\)-graded finite dimensional modules; exterior algebras; equivalence functor; lower triangular matrix algebra; left derived functor; trivial extension; minimal injective cogenerator bimodule; endofunctors; isomorphism of functors P.Dowbor and H.Meltzer, On equivalences of Bernstein-Gelfand-Gelfand, Beilinson and Happel. To appear.
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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 split sequences; complete rational double point; Artin-Verdier correspondence; stable AR-quiver; McKay quiver; desingularization graph; coherent sheaves; Gorenstein projective curve; finite Cohen-Macaulay type algebras Maurice Auslander, Almost split sequences and algebraic geometry, Representations of algebras (Durham, 1985) London Math. Soc. Lecture Note Ser., vol. 116, Cambridge Univ. Press, Cambridge, 1986, pp. 165 -- 179.
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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 curve; prescribed degree; arithmetic genus and number of nodes; minimal free resolution
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