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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) deformation; licci ideal; linkage class of a complete intersection; Cohen-Macaulay; Gorenstein; symbolic powers of prime ideals Huneke; Ulrich: Powers of licci ideals. Commutative algebra, (Berkeley, CA, 1987), mathematical sciences research institute publications 15, 339-346 (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) postulation; arithmetically Cohen-Macaulay 0-dimensional subschemes of a smooth quadric; linear systems of divisors; Hilbert function Giuffrida, S; Maggioni, R; Ragusa, A, On the postulation of \(0\)-dimensional subschemes on a smooth quadric, Pac. J. Math., 155, 251-282, (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) stable pairs; Cohen-Macaulay curves; BPS states; Gromov-Witten invariants; topological vertex Kollár, J.: Rational curves on algebraic varieties, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, vol. 32. Springer, Berlin (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) symbolic powers; codimension two; arithmetically Cohen-Macaulay; locally complete intersection; points in \(\mathbb P^1 \times \mathbb P^1\)
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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) unprojection; birational transformation; minimal model; rational surface; graded R-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) random commutative algebra; monomial ideals; random ideals; random simplicial complexes; Krull dimension; Betti numbers; hypergraph transversals; random graphs
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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) \(m\)-regular sheaves; Cohen-Macaulay projective variety; semistable vector bundle; semistable restriction; higher Chern classes; bounds for degrees of Weierstrass schemes Catanese, F. , Schneider, M. : Bounds for stable bundles and degrees of Weierstraß schemes . Math. Ann. 293 (1992) 579-594.
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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) analytic spread; associated graded ring; intersection cycle; minimal primes; Rees 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) Cohen-Macaulay map; versal deformation; Artin approximation
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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 graded modules; abstract Kazhdan-Lusztig theories; highest weight category; finite dimensional quasi-hereditary algebras; graded Kazhdan-Lusztig theories; Koszul property; automorphisms; category of \(\ell\)-adic perverse sheaves; flag varieties; semisimple algebraic groups; Borel subgroups; principal blocks; category \(\mathcal O\) Parshall B., Quart. J. Math. Oxford 2 pp 345-- (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) Hessenberg variety; $K$-theory class; cohomology class; 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) constructible property; Betti number; Bass number; regularity defect; Cohen-Macaulay defect Schoutens, H.: Constructible invariants, J. algebra 304, 1059-1089 (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) base-point-free theorem; semi-ample line bundles; positive characteristic; finite fields; minimal model program; log canonical Martinelli, D; Nakamura, Y; Witaszek, J, On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field, Algebra Number Theory, 9, 725-747, (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) algebraic geometry; commutative algebra; arithmetically Cohen-Macaulay sheaves; representation type
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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) derivation; Cohen-Macaulay type; integral closure of homogeneous coordinate ring of s distinct points
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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) homotopy theory of simplicial sheaves; characteristic classes; motivic weight complexes
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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) space curve; locally Cohen-Macaulay curve; multiple structure on a smooth curve; connectedness Nollet S., Schlesinger E.: Hilbert schemes of degree four curves. Compos. Math. 139(2), 169--196 (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) completion of a complex space; Cohen-Macaulay space; analytic spectrum; dualizing sheaf; flat map; holomorphic linear space; conormal sheaf Th. Peternell and R. Remmert, Differential calculus, holomorphic maps and linear structures on complex spaces, Several complex variables, VII, Encyclopaedia Math. Sci., vol. 74, Springer, Berlin, 1994, pp. 97-144.
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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; linked schemes; Hilbert functions; complete intersection; locally Cohen-Macaulay subschemes of \(P^ n\); speciality
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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 cone; monomial 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) power of a complete intersection; free resolutions; Herzog-Huneke-Srinivasan conjecture; complete intersection; Eagon-Northcott complex; fat points E. Guardo, A. Van Tuyl, Powers of complete intersections: Graded Betti numbers and applications, Illinois J. Math., in press
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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) Morita equivalence; Cohen-Macaulay monomial variety; rings of differential operators
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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) locally Cohen-Macaulay subschemes; Lazarsfeld-Rao property; Rao correspondence; linkage; codimension two; liaison; complete intersection S. Nollet \({ref.surNamesEn}, Even linkage classes,, \)Trans. Amer. Math. Soc.\(, 348, 1137, (1996)\)
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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) abelian varieties; isogenies; Tate modules; locally free modules of rank 1
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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) definable fundamental group; definable set; o-minimal expansion of a field; o-minimal von Kampen theorem; simplicial complex; definable manifold; geometrical realization; topological manifold A. Berarducci and M. Otero, O-minimal fundamental group, homology and manifolds, Journal of the London Math. Soc. (2) 65 (2002), 257--270.
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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) basic finite-dimensional algebras; path algebras; moduli spaces; graded modules; projective varieties; isomorphism invariants Babson, E.; Huisgen-Zimmermann, B.; Thomas, R.: Moduli spaces of graded representations of finite dimensional algebras, Contemp. math. 419, 7-27 (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) local cohomology modules defined by a pair of ideals; system of ideals; depth of a pair of ideals; \((I, J)\)-Cohen-Macaulay 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) Bruhat-Chevalley orders; Bruhat-Renner decompositions; Cohen-Macaulay rings; conjugacy classes; finite groups of Lie type; finite monoids of Lie type; Gorenstein rings; Hecke algebras; Kazhdan-Lusztig polynomials; linear algebraic monoids; reductive groups; reductive monoids; Putcha lattices of cross-sections; Renner monoids; representation theory; shellability; Stanley-Reisner rings; Weyl groups
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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) standard determinantal ring; artinian determinantal ring; Hilbert scheme; glicci; ghost terms; minimal free resolution; deformation Kleppe, J.O.: Families of artinian and low dimensional determinantal rings. arXiv:1506.08087
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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) symbolic powers; fat points; points in the projective plane; Fermat configuration; regular sequences; Cohen-Macaulay; algebraic geometry; commutative 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) Schubert varieties; Lagrangian Grassmannian; 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) Wahl maps; minimal free resolution of nonlinearly normal embedded curves; Gaussian maps; non complete linear systems --------, On the minimal free resolution of some projective curves , Ann. Mat. Pura Appl.,
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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 type; Noetherian scheme; non-Cohen-Macaulay locus DOI: 10.1090/S0002-9939-98-04160-4
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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) operads; Atiyah class; model categories of modules; Maurer-Cartan equation; jet modules; cochain complexes in symmetric monoidal categories DOI: 10.1142/S0219887805000995
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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) Euler-Poincaré semi-characteristic; symplectic sheaf; Cohen-Macaulay morphism; semi-stable quadratic sheaves Ch. SORGER , La semi-caractéristique d'Euler-Poincaré des faisceaux \?-quadratiques sur un schéma de Cohen-Macaulay , (Bull. Soc. Math. France, Vol. 122, 1994 , pp. 225-233). Numdam | Zbl 0814.14020
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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) purity of branch locus; maximal Cohen-Macaulay module; Gorensteinness; ramification Adam Borek and Phillip Griffith, Weak purity for Gorenstein rings is determined in codimension four, J. Algebraic Geom. 5 (1996), no. 3, 415 -- 437.
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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; minimal resolutions of modular curves S. Ling,Congurences between cusp forms and the geometry of Jacobians of modular curves, Mathematische Annalen295 (1993), 111--133.
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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 local ring; finite Cohen-Macaulay type Wiegand, R.: Curve singularities of finite Cohen--Macaulay type. Ark. mat. 29, 339-357 (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) Cohen-Macaulay property; bouquet of spheres; spherical; reduced homology; fibre space; Tits building; split building; connected reductive linear algebraic group; locally finite posets [LR] G. I. Lehrer and L. J. Rylands,The split building of a reductive group, Mathematische Annalen296 (1993), 607--624.
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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 vector bundles; cubic hypersurfaces; moduli spaces of bundles; Pfaffian Faenzi, D, Rank \(2\) arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface, J. Algebra, 319, 143-186, (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) connectedness of Hilbert scheme; locally Cohen-Macaulay space curves; biliaison classes; extremal curve Schlesinger, E.: Footnote to a paper by Hartshorne: On the connectedness of the Hilbert scheme of curves in \(\mathbb{P}^{3}\). Commun. Algebra \textbf{28}(12), 6079-6083 (2000) (special issue in honor of Robin Hartshorne)
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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-Lazarsfeld index; \(N_{2,p}\)-condition Park, E, Projective subvarieties having large Green-lazarsfeld index, J. Algebra, 351, 175-184, (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) Krull-Schmidt theorem; local Cohen-Macaulay rings; finite Cohen-Macaulay type; direct-sum decomposition Wiegand, R.: Singularities and direct-sum decompositions. Contemp. math. 266, 29-43 (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) Bertini theorem; generic linkage; local Cohen-Macaulay Nagata ring; set of generators Vijaylaxmi, T.: Bertini theorems for ideals linked to a given ideal. J. indian acad. Sci. math. Sci 104, 305-331 (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) reduction number; degree; Castelnuovo-Mumford regularity; arithmetically Cohen-Macaulay subscheme; Betti table
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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) postulation; arithmetically Cohen-Macaulay space curve; complete intersection; numerically subcanonical curves; Hilbert function of a general hyperplane section
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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; linear section Park, On syzygies of linear sections, Proc. Amer. Math. Soc.
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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) superficial element; Cohen-Macaulay local ring; multiplicity; Hilbert function; conductor F. Orecchia and I. Ramella, The conductor of one-dimensional Gorenstein rings in their blowing up,Manuscripta Math. 68 (1990), 1--7
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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 local ring; Hilbert coefficients; Hilbert function J. Elias, M.E. Rossi and G. Valla, On the coefficients of the Hilbert polynomial, J. Pure \& Applied Algebra 108 (1996), 35--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) non-commutative desingularization; sparse spectral sequence; simple representations; tautological Koszul complex; maximal Cohen-Macaulay; quivers; Clifford algebra Abhyankar, S.: Uniformization in a \( p\)-cyclic extension of a two dimensional regular local domain of residue field characteristic \( p\) . Festschrift zur Gedächtnisfeier für Karl Weierstrass 1815 - 1965, Wissenschaftliche Abhandlungen des Landes Nordrhein-Westfalen \textbf{33} (1966), 243-317, Westdeutscher Verlag, Köln und Opladen
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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 of invariant modules for reductive algebraic groups Bergh, M, A converse to stanley's conjecture for \({{\mathrm Sl}}_2\), Proc. Am. Math. Soc., 121, 47-51, (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) regularity; syzygies; Cohen-Macaulay Huy Tài Hà, Projective embeddings of projective schemes blown up at subschemes, Math. Z. 246 (2004), no. 1-2, 111 -- 124.
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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 modules; stably free modules; self-duality Nori, M.V., Rao, R.A., Swan, R.G.: Non-self-dual stably free modules. Quadratic forms, linear algebraic groups, and cohomology. Developmental Mathematics, vol. 18, pp. 315--324. Springer, New York (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) Green-Lazarsfeld conjecture; minimal free resolution; vanishing ideal generated by quadrics; matroid theory; finite set of points; JFM 25.1035.02
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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 sheaf; determinantal variety; arithmetically Cohen-Macaulay; Ulrich sheaf Kleppe, J.O., Miró-Roig, R.M.: On the normal sheaf of determinantal varieties. J. Reine Angew. Math. Ahead of Print Journal. ~https://doi.org/10.1515/crelle-2014-0041
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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) complete intersection; analytic spread; linkage; Cohen-Macaulay local rings; Gorenstein normal local ring; factorial Huneke C., J. London Math. Soc 32 pp 19-- (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) minimal resolutions; Veronese embedding; plane curves
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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) bounds for Castelnuovo's index of regularity; Cohen-Macaulay projective varieties Rüdiger Achilles and Peter Schenzel, On bounds for Castelnuovo's index of regularity, J. Math. Kyoto Univ. 29 (1989), no. 1, 91 -- 104.
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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; finite sets of points; Hilbert function; truncation; minimal generator
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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; secant variety; determinantal ring; symmetric algebra; Alexander dual; regularity; 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) deformations of log pairs; minimal model program; Mori chamber decomposition; simplicial toric Fano varieties; rigidity T. de Fernex and C. D. Hacon, ''Deformations of canonical pairs and Fano varieties,'' J. Reine Angew. Math., vol. 651, pp. 97-126, 2011.
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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 of a rational map; birational maps; Cohen-Macaulay Rees algebra; reduction number; regularity
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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; Zero dimensional schemes; Separators; Multiprojective spaces Guardo, Elena; Van Tuyl, Adam, Classifying ACM sets of points in \(\mathbb{P}^1 \times\mathbb{P}^1\) via separators, Arch. Math. (Basel), 99, 1, 33-36, (2012)
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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) Grothendieck topology; canonical cover; fpqc cover; direct summand theorem; big Cohen-Macaulay algebras; splinters
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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; characteristic variety; confluent hypergeometric functions; \({\mathcal D}\)-module structure; holonomic system of partial differential equation Adolphson A., Hypergeometric functions and rings generated by monomials, Duke Math. J. 73 (1994), 269-290.
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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 subgroups of rotation group; groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory Artin, M.: Algebra. Prentice-Hall, Englewood Cliffs (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) Hilbert function of a Cohen-Macaulay homogeneous domain; positive characteristic; Hilbert function of a general hyperplane section; strange curve; trisecant lemma E. Ballico and K. Yanagawa, On the \?-vector of a Cohen-Macaulay domain in positive characteristic, Comm. Algebra 26 (1998), no. 6, 1745 -- 1756.
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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) modular forms; moduli stacks of elliptic curves; 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) free resolutions; the Koszul property; Gröbner bases; shellings Peeva, I. (ed.): Infinite free resolutions over toric rings. In: Syzygies and Hilbert functions. Lecture Notes in Pure Applied Mathematics, vol. 254, pp. 233-247. CRC Press, Boca Raton (2007)
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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) dualizing complexes; equivariant sheaves; de Rham complexes; categories of differential graded algebras; non-commutative multi-parameter quantum deformations; integration; differential forms; homogeneous coordinate rings Borowiec A., Adv. Math. 115 pp 250-- (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) Hilbert schemes; locally Cohen Macaulay curves; Segre threefolds
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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) regular singularities; perverse sheaf; complexes of D-modules; holonomic cohomology sheaves; intersection complex; de Rham complex; variation of mixed Hodge structure; mixed holonomic D-module; duality of filtered D- modules Brylinski, J. -L., Modules holonomes a singularites regulieres et filtration de Hodge II, Asterisque, 101-102 (1983), 75-117.
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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; quasi cyclic modules; coregular sequences; Koszul complexes; Matlis dual
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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) union of skew lines; postulation; minimal free resolution of the homogeneous ideal Monica Idà, On the homogeneous ideal of the generic union of lines in \?³, J. Reine Angew. Math. 403 (1990), 67 -- 153.
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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-Samuel function; resolution of singularities; rational singularity; Cohen-Macaulay ring
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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) Surface singularity; maximal Cohen-Macaulay module; integrable connection; elliptic curve; local fundamental group Gustavsen, T. S.; Ile, R., Representation theory for log-canonical surface singularities, Université de Grenoble. Annales de l'Institut Fourier, 60, 389-416, (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) arithmetically Cohen-Macaulay surface; canonical divisor; arithmetically Gorenstein curves; subcanonical curves
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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) monomial curves; reduction number; Castelnuovo-Mumford regularity; Cohen-Macaulay ring; Buchsbaum ring
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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; Veronese embedding; Veronese surface
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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 schemes; Cohen-Macaulay rings; ideal projectors; Littlewood-Richardson rule
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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) \(\delta\)-invariant; maximal Cohen-Macaulay approximation; hypersurface singularity; Tate 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) stable curve; Cohen-Macaulay approximation; versal deformation; Gorenstein dimension; pointed singularity
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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 modules; Shilov resolution; homological algebra; locally free module; spectrum; tensor product of modules; quasisimilar modules; local invariants; essentially reducible module Douglas R. Invariants for Hilbert Modules. Proceedings of Symposia in Pure Mathematics, Vol. 51,Part 1, 1990, 179--196
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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-Schelter Cohen-Macaulay algebra; Artin-Schelter Gorenstein algebra; Cohen-Macaulay ring; fully bounded noetherian algebra; isolated singularity; maximal Cohen-Macaulay module; non-commutative projective scheme; punctured spectrum Jørgensen, P., Finite Cohen-Macaulay type and smooth non-commutative schemes, Canad. J. Math., 60, 379-390, (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) arithmetically Cohen-Macaulay curve; arithmetically Buchsbaum curve; Hirzebruch surface Chikashi Miyazaki, Projective curves with next to sharp bounds on Castelnuovo-Mumford regularity, J. Algebra 315 (2007), no. 1, 279 -- 285.
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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) standard determinantal scheme; Buchsbaum-Rim sheaf; Cartier divisor; good determinantal schemes; arithmetically Cohen-Macaulay curve; complete intersection Kreuzer, M; Migliore, J; Nagel, U; Peterson, C, Determinantal schemes and Buchsbaum-rim sheaves, J. Pure Appl. Algebra, 150, 155-174, (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) Hilbert scheme; locally Cohen-Macaulay curves; ropes; cohomology R. Notari, I. Ojeda, M.L. Spreafico, Non-degenerate projective curves with very degenerate hyperplane section, Math. Z, 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) monomial ideals; homogeneous co-ordinate ring of s points in generic position; number of generators; Cohen-Macaulay type Geramita, A.V., Gregory, D., Roberts, L.: Monomial ideals and Points in Projective Space. J. Pure Appl. Alg. 40, 33--62 (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; cotangent vector bundle; elementary transformations
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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 bundle; Hilbert scheme; gaps for the arithmetic genera; locally Cohen-Macaulay curves
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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; Gröbner bases; Grothendieck polynomials; simplicial complexes
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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 rings; rings of differential operators; Ore localizations; Ore sets; quantum differential operators; quantum affine spaces; quantum enveloping algebras; Bernstein theorem; holonomic modules V.A. Lunts and A.L. Rosenberg, Differential operators on noncommutative rings, Selecta Math. (N.S.), 3 (1997), 335--359.
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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) Buchsbaum ring; position of lines in projective space; seminormality; Cohen-Macaulay ring; configurations of lines; complete intersection Geramita, A.V., Weibel, C.A.: On the Cohen-Macaulay and Buchsbaum property for unions of planes in affine space. J. Algebra92, 413--445 (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) Buchsbaum; canonical module; Castelnuovo-Mumford regularity; Cohen-Macaulay Dao Thanh Ha and Lê Tuân Hoa, Castelnuovo-Mumford regularity of some modules, Comm. Algebra 36 (2008), no. 3, 992 -- 1004.
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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 resolutions; 3-dimensional quotient singularity S.-S. Roan: On cx - 0 resolution of quotient singularity. Intern. Jour, of Math.,5, 523-536 (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) hypersurface sections; lifting problem; complete intersection; arithmetically Cohen-Macaulay; space curve Juan C. Migliore, Hypersurface sections of curves, Zero-dimensional schemes (Ravello, 1992) de Gruyter, Berlin, 1994, pp. 269 -- 282.
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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) Gelfand-Kirillov dimension; flag varieties; Hopf algebras; semisimple algebraic groups; quantum algebras; induced modules; graded algebras; induced 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) normal variety with rational singularities; arithmetically Cohen-Macaulay; Plücker embedding; canonizants; Gundelfinger covariants; Porteous formula DOI: 10.1081/AGB-120028789
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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; Gorenstein graphic matroid
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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; ideal transforms; vanishing theorems; canonical modules; connectivity; finiteness theorems; Castelnuovo-Mumford regularity; sheaf cohomology; locally free sheave Brodmann, M. P.; Sharp, R. Y., Local cohomology, \textrm{An algebraic introduction with geometric applications}, Cambridge Studies in Advanced Mathematics 136, xxii+491 pp., (2013), Cambridge University Press, Cambridge
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