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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) minimally elliptic surface; fundamental cycle on the minimal resolution; Auslander-Reiten quivers of reflexive modules Kahn C.P., Reflexive modules on minimally elliptic singularities, Math. Ann., 1989, 285(1), 141--160
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 ideals; idealistic syzygy conjecture; free resolution; syzygy modules DOI: 10.1215/S0012-7094-94-07510-8
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) arithmetically Cohen-Macaulay bundles; Serre correspondence; complete intersection Calabi-Yau threefolds Casnati, G.: On aCM rank two bundles on a smooth quartic surface in \({\mathbb{P}}^{3}\). Ann. Univ. Ferrara Sez. VII. Sci. Mat. (2016). 10.1007/s11565-016-0244-0
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) cofinite modules; FSF modules; minimal modules; weakly Laskerian modules; \(n\)th finiteness dimensions Bahmanpour, K.; Naghipour, R.; Sedghi, M., Minimaxness and cofiniteness properties of local cohomology modules, \textit{Commun. Algebra}, 41, 2799-2814, (2013)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) numerical semigroups; irreducible numerical semigroups; free numerical semigroups; semigroups associated with irreducible meromorphic series; Newton-Puiseux exponents; characteristic sequences; intersection multiplicity; minimal presentations; factorizations; non-unique factorization; Feng-Rao distance
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Clements-Lindström ring; Betti numbers; infinite free resolutions; finite subscheme; strongly stable ideal; Eisenbud-Green-Harris conjecture; Lex-plus-powers 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) big Cohen-Macaulay; test ideals; commutative algebra; algebraic geometry; mixed characteristic
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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-dimensional algebras; degenerations of modules; minimal degenerations; tame quasi-tilted algebras; representations of algebras; categories of modules Zwara, G.: Degenerations of finite-dimensional modules are given by extensions. Compos. Math. 121(2), 205--218 (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) weakly Laskerian module; cofinite module; local cohomology; 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) free resolutions over the exterior algebra; cohomology of sheaves; Chow form D. Eisenbud, Computation of cohomology, in: W.V. Vasconcelos et al. (Eds.), Computational Methods in Commutative Algebra and Algebraic Geometry, Springer, New York, 1997, pp. 209--216.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 of almost minimal degree; minimal free resolution W. Lee and E. Park, Projective curves of degree=codimension+2 II. Internat. J. Algebra Comput. 26 (2016), no. 1, 95-104.
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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) Gorenstein linkage; Cohen-Macaulay linkage; canonical 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) base point free linear systems; minimal surface of general type; characteristic p; divisor; vanishing lemma \textsc{T. Ekedahl}, \textit{Canonical models of surfaces of general type in positive characteristic}, Publ. Math. IHÉS no.~67 (1988), 97--144. DOI 10.1007/BF02699128; zbl 0674.14028; MR0972344
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) quotients by vector fields; characteristic p; discriminantal; locus; semi-simple derivations; quotient; singularities; Cohen-Macaulay singularities; p-radical descent; class groups of normal domains Aramova, A., Avramov, L.: Singularities of quotients by vector fields in characteristicp. Math. Ann.273, 629--645 (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) Cohen-Macaulay space curves; smoothable CM curve; relations between the generators Ciliberto, C., Geramita, A.V., Orecchia, F.: Remarks on a theorem of Hilbert-Burch. Boll. UMI \textbf{7}, 463-483 (1988)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) 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) subcanonical Cohen-Macaulay space curves; rank 2 reflexive sheaf; subcanonical curve; curve with dualizing sheaf [R]Roggero M.,On the rank 2 reflexive sheaves and the subcanonical curves in P 3 . Accettato per la pubbl. su Comm. in 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) \(p_g\)-ideal; normal Rees rings; Cohen-Macaulay rings; stable 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) hyperplane section; projective normal curve; arithmetically Cohen-Macaulay curve; normal sheaf Ballico E., Points not as hyperplane sections of projectively normal curves, 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) linear \(\mu _ p\) action; subring of invariants; Cohen-Macaulay; canonical module; Gorenstein
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) lines in affine space; Cohen-Macaulay ring; Gorenstein ring; singularity; lines in generic position; CM type; local ring at the origin Baruch, M.; Brown, W. C.: A matrix computation for the Cohen-Macaulay type of s-lines in affine (n + 1) -space. J. algebra 85, 1-13 (1983)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) SI-sequence; Hilbert function; weak Lefschetz property; Gorenstein ideal; graded Betti numbers; simplicial polytopes; Gorenstein liaison; arithmetically Gorenstein subscheme; compressed algebra; Gorenstein configuration of linear varieties Migliore, J.; Nagel, U., Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers, \textit{Adv. Math.}, 180, 1-63, (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) Brody hyperbolicity; minimal models; moduli of polarized varieties; varieties of general type; Green-Griffiths-Lang's conjecture; Hodge 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) monomial ideal; tetralhedral curve; liason; arithmetically Cohen-Macaulay Migliore, J; Nagel, U, Tetrahedral curves, Int. Math. Res. Not., 15, 899-939, (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) syzygies; free resolutions; Veronese syzygies
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) singularities of degenerate varieties; torus embedding; dualizing complex; toroidal embeddings; Cohen-Macaulay; Gorenstein Ishida, M.-N., Torus embeddings and dualizing complexes, \textit{Tôhoku Math. J.}, 32, 111-146, (1980)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) adjunction formula; Artin-Schelter algebra; noncommutative Cohen-Macaulay surface Mori, I., Riemann-Roch like theorem for triangulated categories, J. Pure Appl. Algebra, 193(1--3), 2004, 263--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) mixed Hodge modules; mixed Hodge complexes; perverse t-structure; categories of diagrams; realization functor FLORIAN IVORRA, Mixed Hodge complexes on algebraic varieties and t- structure, Journal of Algebra 433 (2015) 107-167.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; Hartshorne-Rao module Peterson, C.: Powers of ideals and growth of the deficiency module. The curves seminar at queen's (1993)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) McKay correspondence; minimal desingularization; rational double point; indecomposable reflexive modules; first Chern class; surface singularity; quotient singularities Hélène Esnault, Reflexive modules on quotient surface singularities, J. Reine Angew. Math. 362 (1985), 63 -- 71.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; Lazarsfeld-Rao property; Hilbert scheme; space curves; genus; linkage; biliaisons HARTSHORNE R., MARTIN-DESCHAMPS M., PERRIN D., ''Construction de familles minimales de courbes gauches'', (to appear) Pacific J. of Math.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; homogeneous ideal; multiple 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) Cohen-Macaulay property for monomial curves H. Bresinsky, On the Cohen-Macaulay property for monomial curves in \(\mathbb{P}\) k 3 . Monatsheft für Math.98, 21--28 (1984)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) arithmetically Cohen-Macaulay curve; curve with maximal rank; Cohen- Macaulay type; hypersurface 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) Cohen-Macaulay type of curves; curve singularities; deformations; modality
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 D-modules; holonomic cohomology; middle perverse sheaves A. A. Beuilinson, ''On the derived category of perverse sheaves,'' in \(K\)-Theory, Arithmetic and Geometry (Moscow, 1984-1986), New York: Springer-Verlag, 1987, pp. 27-41.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) scroll; quadric fibration; cubic fibration; determinantal; unobstructed; Cohen-Macaulay G. M. Besana, M. L. Fania, The dimension of the Hilbert scheme of special threefolds. \textit{Comm. Algebra} 33 (2005), 3811-3829. MR2175469 Zbl 1093.14058
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 level structure; Cohen-Macaulay singularities; isogenies between abelian varieties; local moduli space; Hodge algebras C.L. Chai and P. Norman , '' Singularities of the \Gamma 0(p)-level structure '', J. of Algebraic Geometry 1, 2 (1992) 251- 277.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 bundles; quartic surfaces Casnati, G., Notari, R.: Examples of rank two aCM bundles on smooth quartic surfaces in \({\mathbb{P}}^3\). Rend. Circ. Mat. Palermo. (2016). 10.1007/s12215-016-0272-8
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) quasi-complete intersection; monomial curve; minimal free resolution; rank 2 vector bundle; cohomology module Choi Y., Proc. of the A. M. S. 137 (12) pp 3999-- (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) canonical ideal; Gorenstein; Cohen-Macaulay; Hilbert-Samuel function Elias, J., On the canonical ideals of one-dimensional Cohen-Macaulay local rings, Proc. Edinb. Math. Soc., 59, 77-90, (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) combinatorial cover; cohomology with local coefficients; spectral sequence; hyperplane arrangement; elliptic arrangement; toric complex; Cohen-Macaulay property; Stein manifold
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) categories of graded finitely generated modules; complex connected reductive algebraic groups; coordinate rings; Grothendieck groups; Euler characters of sheaves; global sections of line bundles
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) global section; local Noetherian two-dimensional ring; irreducible formal component; excellent 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) curve in projective space; arithmetically Buchsbaum; arithmetically Cohen-Macaulay curve Gorla, E.: The general hyperplane section of a curve, Trans. am. Math. soc. 358, No. 2, 819-869 (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) rational normal scroll; secant variety; Rees algebra; fiber cone; regularity; Cohen-Macaulay; 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) Cohen-Macaulay ring; linkage class of a complete intersection; small codimension Kustin, A.; Miller, M.; Ulrich, B.: Linkage theory for algebras with pure resolutions. J. algebra 102, 199-228 (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) intersection of schemes; excess dimension; Bézout's theorem; multiplicity; Cohen-Macaulay scheme Pruschke, Phys. Rev. B 47(7) pp 3553-- (1993)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) point-free topology; Grothendieck scheme; graded ring; valuations; nonsingular curve; spectral schemes; universal properties; projective spectrum Coquand T., Lombardi H., Schuster P.\(Spectral Schemes as Ringed Lattices\). Annals of Mathematics and Artificial Intelligence. 56, (2009), 339-360.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) quadric curve; gaps; complete intersection curves; Cohen-Macaulay curves; Buchsbaum curves; Lüroth semigroup DOI: 10.1007/BF02567082
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 rings, Gröbner bases; Buchberger's algorithm; Gröbner bases over rings; Ore extensions; free associative algebras; Möller's lifting theorem; parametric polynomial ideals; comprehensive Gröbner bases; SAGBI bases; Macaulay's theorem; involutive bases Mora, T., Solving polynomial equation systems, vol. IV, (2016), Cambridge University 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) complete intersection; arithmetically Cohen-Macaulay; local cohomology Huneke C., Ulrich B.: General hyperplane sections of algebraic varieties. An introduction to a theorem of Strano. J. Algebr. Geom. 2, 487--505 (1993)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Weyl algebra; reflexive modules; torsion free modules; norm; curvature; connection; Jacobian problem; Dixmier conjecture; non-commutative algebraic geometry
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) matrices of low rank; vector spaces of matrices; torsion-free sheaves; projective spaces; first Chern class; free resolutions D. Eisenbud and J. Harris, \textit{Vector spaces of matrices of low rank}, Adv. in Math., 70 (1988), pp. 135--155, .
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; Hilbert function; hypergraph; hypersurface configuration; linkage; matroid; monomial ideal; resurgence; Stanley-Reisner ideal; star configuration; symbolic powers; tetrahedral curves; Waldschmidt constant Geramita, A. V., Harbourne, B., Migliore, J., Nagel, U.: Matroid configurations and symbolic powers of their ideals. Trans. Am. Math. Soc. (to appear) (2015). arXiv:1507.00380v1
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 ring; tangent cone; Hilbert function; semigroup gluing; Cohen-Macaulay Jafari, R.; Zarzuela, S., On monomial curves obtained by gluing, \textit{Semigroup Forum}, 88, 2, 397-416, (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) adjunction mapping; liaison; cubic fourfolds; matrix factorizations; 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) cofinite module; Cohen-Macaulay ring; Krull dimension; local cohomology; regular 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) Hilbert series; tangent cone; Gorenstein monomial curve; 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; subspace arrangements
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 singularities; one-dimensional Cohen-Macaulay local ring; embedding dimension; multiplicity; reduction number; Hilbert-Samuel function J. Elias, Characterization of the Hilbert-Samuel polynomial of curve singularities, Compositio Math. 74 (1990), 135--155
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; graded modules; Picard groups; smash products; rings with local units; graded equivalences; strongly graded rings M. Beattie, A. del Rı\acute{}o, Graded Equivalences and Picard Groups, preprint
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) absolute prime ideals; three-dimensional local non-Cohen-Macaulay factorial domain D. Weston, Generating absolute prime ideals, submitted for publication.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 free sheaves; modules over the ring of globally defined linear differential operators; splitting theorem Coutinho, S. C.; Holland, M. P.: Locally free \(D(Pn)\)-modules. Math. proc. Camb. phil. Soc. 112, 233-245 (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) multiplicity; Fitting ideals; Cohen-Macaulay Mond, D., Pellikaan, R.: Fitting ideals and multiple points of analytic mappings. In: Algebraic Geometry and Complex Analysis (Pátzcuaro, 1987), Lecture Notes in Mathematical, vol. \textbf{1414}, pp. 107-161. Springer, Berlin (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) arithmetically Cohen-Macaulay curve; rational normal curve; Hilbert scheme; Hilbert polynomial; curve Mireille Martin-Deschamps and Ragni Piene, Arithmetically Cohen-Macaulay curves in \?\(^{4}\) of degree 4 and genus 0, Manuscripta Math. 93 (1997), no. 3, 391 -- 408.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 orbit closures; Lascoux resolution; Cohen-Macaulay varieties; Dynkin quivers; geometry of orbit closures; Bott vanishing 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) linkage; complete intersection curve; Hilbert function; arithmetically Cohen-Macaulay curve; arithmetically Buchsbaum space 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) Zeuthen problem; numerical character; basic double linkage; weak stick figure; liaison; Lazarsfeld-Rao property; arithmetically Cohen-Macaulay curve; arithmetically Buchsbaum curve BOLONDI,G.;Zeuthen problem and cohomology Preprint U.T.M.226, Trento (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) Schubert varieties; small resolutions; minimal model program; quivers Perrin N., Small resolutions of minuscule Schubert varieties, Compos. Math. 143 (2007), no. 5, 1255-1312.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; flatifying blowing-up; Gorenstein surface singularity; matrix factorization
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) tetrahedral curve; Alexander duality; arithmetically Cohen-Macaulay; monomial ideal; chordal graph; polarization; edge ideal; Stanley-Reisner ring DOI: 10.1016/j.jpaa.2007.05.017
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) G-biliaison; Gorenstein liaison; pfaffian; ladder; complete intersection; arithmetically Gorenstein scheme; arithmetically Cohen-Macaulay scheme; licci; glicci; determinantal scheme E. De Negri and E. Gorla, \(G\)-biliaison of ladder Pfaffian varieties , J. Algebra 321 (2009), 2637-2649.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) symmetric algebra; \(p\)-groups; ring of invariants; Cohen-Macaulay ring; hypersurfaces Campbell, H. E. A.; Hughes, I. P.: Rings of invariants of certain p-groups over the field fp. J. algebra 211, 549-561 (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) numerical rational equivalence; Cohen-Macaulay cone; test module; Hilbert-Kunz function; Segre product Chan, C.-Y., Kurano, K.: The cone spanned by maximal Cohen-Macaulay modules and an application. Trans. Am. Math. Soc. (2015, 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) finitely generated algebras; algebraic variety; \(\text{Gl}_ d\)-actions; algebras of finite representation type; pointed varieties; minimal degenerations; minimal singularities; representations of Dynkin quivers; nilpotent matrices; tilting modules; tilting theories; Gabriel quivers; preprojective modules Bongartz, K.: Minimal singularities for representations of Dynkin quivers. Comment. Math. Helv. 69(4), 575--611 (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) rational homotopy type; minimal model; formal space; differential graded commutative algebra; cell attachment; rationalization of a space; Sullivan 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) resolutions of determinantal ideals; Koszul complex; Eagon-Northcott complex; Akin-Buchsbaum-Weyman complex; characteristic free representation; Betti numbers of the resolution Hashimoto, M.: Resolutions of determinantal ideals: t-minors of (t + 2) \({\times}\) n matrices. J. algebra 142, 456-491 (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) mixed Hodge structure on Sullivan's 1-minimal model; differential graded algebra; non-abelian Hodge structure
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 hypersurface; arithmetically Cohen-Macaulay bundle; Ulrich bundle
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 semigroups; irreducible numerical semigroups; free numerical semigroups; semigroups associated with irreducible meromorphic series; Newton-Puiseux exponents; characteristic sequences; intersection multiplicity; minimal presentations; factorizations; non-unique factorization; Feng-Rao distance Assi A., García-Sánchez P.A.: Numerical Semigroups and Applications. RSME Springer Series, vol. 1. Springer, Berlin (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) linkage; liaison; linked monomial curves; finite free resolutions H. Bresinsky and C. Huneke, Liaison of monomial curves in \(\mathbb{P}\)3. J. reine angew. Math.365, 33--66 (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) Chow groups with coefficients; complexes of cycles; localization complexes for varieties; cycle modules; intersections; Chow groups M.~Rost, \emph{Chow groups with coefficients}, Doc. Math. 1 (1996), No. 16, 319--393. https://www.elibm.org/article/10000028; zbl 0864.14002; MR1418952
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) big Cohen-Macaulay algebra; perfectoid algebra; singularities
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) multiple curve; Cohen Macaulay scheme; flat family of schemes; vector bundle Drézet, J.-M., Courbes multiples primitives et déformations de courbes lisses, Ann. Fac. Sci. Toulouse Math., 22, 1, 133-154, (2013)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cremona transformation; determinantal variety; birational properties; arithmetically Cohen-Macaulay 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) 3-dimensional simplicial polytopes; combinatorial rigidity; graded Betti number S. Choi and J. S. Kim, ''Combinatorial Rigidity of 3-Dimensional Simplicial Polytopes,'' Int. Math. Res. Not. 2011(8), 1935--1951 (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) Humphreys-Verma conjecture; strong stability; cohomological obstructions; graded modules; projective indecomposable modules; reductive algebraic groups; lifting module structures; Schreier systems; Frobenius kernels; numerical stability; tensor stability; connected affine algebraic group schemes; socle series Parshall, B.; Scott, L.: Variations on a theme of cline and donkin, (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) Tor; complete intersection ring; torsion elements; syzygy module; maximal Cohen-Macaulay tensor products --------, \(\Tor\) and torsion on a complete intersection , J. Algebra, 195 (1997), 526-537.
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) classification of reduced curve singularities; Cohen-Macaulay representation
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) action of affine algebraic group; algebra automorphisms; minimal injective resolutions Magid, A, Cohomology of rings with algebraic group action, Adv. Math., 59, 124-151, (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) structure theory for projective varieties; local cohomology; singularities; minimal free resolution Hoa, L-T.; Stückrad, J.; Vogel, W.: Towards a structure theory for projective varieties of degree=codimension+2. J. pure appl. Algebra 71, 203-231 (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) mixed motives; motivic complexes; cycle modules; coniveau filtration Déglise, F., Modules homotopiques, Doc. math., 16, 411-455, (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) arithmetically Cohen-Macaulay bundle; hypersurface; invariant theory; algebraic groups; Ulrich bundle
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; Bourbaki sequence V. Ene, D. Popescu, Lifting an ideal from a tight sequence and maximal Cohen -- Macaulay modules, in: Proceedings of Computational Commutative and Non-Commutative Algebraic Geometry and Homological Algebra, Advanced Research Workshop, Chisinau, Moldova, June 6 -- 11, 2004, 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) graded algebras; minimal graded resolution; homogeneous coordinate ring [CRV2] Cavaliere, M.P., Rossi, M.E., Valla, G.: On the resolution of certain graded algebras. Trans. Am. Math. Soc.337, (1), 389--409 (1993)
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 vector bundle; stable vector bundle on \(\mathbb {P}^3\); 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) arithmetically Cohen-Macaulay sheaf; reducible quadric hypersurface; wild 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) Gorenstein ring; Cohen-Macaulay ring; unique factorization ring; UFD; regular local ring; module of differentials; singular locus; completion J. \textsc{Lipman}, Unique factorization in complete local rings, In: Algebraic Geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State Univ., Arcata, Calif., 1974), 531-546, Amer. Math. Soc., Providence, RI, 1975
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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) length of module of generalized fraction; Noetherian local ring; system of parameters; generalized Cohen-Macaulay local ring DOI: 10.1016/0022-4049(85)90020-9
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