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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 sequence of homogeneous ideal in a polynomial ring; Weierstrass polynomials; free resolutions; local cohomology; graded Buchsbaum rings Amasaki M.: Application of the generalized Weierstrass preparation theorem to the study of homogeneous ideals. Trans. Am. Math. Soc. 317, 1--43 (1990) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 hypersurface ring; maximal Cohen-Macaulay modules; isolated simple hypersurface singularity; Auslander-Reiten quivers Knörrer, H., Cohen-Macaulay modules on hypersurface singularities, I. Invent. Math., 88, 153-164, (1987) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) depth; symmetric algebra; analytic spread; reduction number; property \(G_s\); Artin-Nagata property; Cohen-Macaulay property; minimal presentation matrix Mark R. Johnson, Depth of symmetric algebras of certain ideals, Proc. Amer. Math. Soc. 129 (2001), no. 6, 1581 -- 1585. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Gröbner basis; arithmetically Buchsbaum; Cohen-Macaulay curve; minimal generators of the homogeneous ideal of monomial projective curves | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 modules; matrix factorizations; curve singularities | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) homological algebra; Euler characteristic; canonical surface; Cohen-Macaulay ring; classification of algebraic surfaces of general type; minimal surface of general type; canonical system Fabrizio Catanese, Homological algebra and algebraic surfaces, Algebraic geometry --- Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., Providence, RI, 1997, pp. 3 -- 56. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 modules; complete intersections; quasihomogeneous isolated singulrities; hypersurface singularity; jacobian ideal; minimal Cohen- Macaulay approximations Herzog, Jürgen; Martsinkovsky, Alex: Gluing Cohen-Macaulay modules with applications to quasihomogeneous complete intersections with isolated singularities, Comment. math. Helv. 68, No. 3, 365-384 (1993) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 modules; infinitesimal deformations; non-simple singularities | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) \(DG\)-algebra structure; multiplicative structures; finite free resolutions of cyclic modules over local rings Matthew Miller, Multiplicative structures on finite free resolutions, Free resolutions in commutative algebra and algebraic geometry (Sundance, UT, 1990) Res. Notes Math., vol. 2, Jones and Bartlett, Boston, MA, 1992, pp. 35 -- 46. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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, complete local k-algebra; Brauer group; index; division ring; tree of rational curves; maximal R-orders of finite representation type; indecomposable Cohen-Macaulay modules; central simple K-algebra; power series ring Artin, M.: Two-dimensional orders of finite representation type. Manuscr. Math. 58, 445--471 (1987) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Schur modules; determinantal varieties; Bott's theorem; Schubert varieties; finite free resolutions; desingularization; Koszul complex resolution; resolution of the coordinate ring; Eagon-Northcott resolution; Gulliksen-Negård resolution J. Weyman, \textit{Cohomology of vector bundles and syzygies}, Cambridge University Press, Cambridge U.K. (2003). | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) almost versal families of modules; finite representation type; finite dimensional algebras; Cohen-Macaulay rings of Krull dimension 1; non-commutative Cohen-Macaulay algebras; projective varieties; tame algebras; curve singularities Drozd, Yu. and Greuel, G.-M.: Semi-continuity for Cohen--Macaulay modules, Math. Ann. 306 (1996), 371--389. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) equivariant modules; group scheme; homological properties; Cohen-Macaulay approximation | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 fiber cone; reduction number; quadratic sequence; minimal mixed multiplicity; Cohen-Macaulay property; Rees algebra Clare D'Cruz, K. N. Raghavan, and J. K. Verma, Cohen-Macaulay fiber cones, Commutative algebra, algebraic geometry, and computational methods (Hanoi, 1996) Springer, Singapore, 1999, pp. 233 -- 246. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) infinitesimal deformations of modules; maximal Cohen-Macaulay modules; singularities Enc V., Algebra and Representation Theory 2 (2) pp 137-- (1999) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 modules; arithmetically Cohen-Macaulay sheaves; Ulrich sheaves; moduli of vector bundles; wild representation type | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) variation of module structure for the Hartshorne-Rao modules; linkage class; arithmetically Cohen-Macaulay curves E. Ballico and G. Bolondi : Deficiency modules and specialization . To appear in Proc. A.M.S. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 constant rank; truncated graded cohomology modules; pure resolutions | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 coordinate ring; normal homogeneous coordinate ring; flag variety; unipotent transformatin; tableaus; Young diagram; fixed point subvarieties of the Schubert cells; minimal unipotent variety Shimomura, N., The fixed point subvarieties of unipotent transformations on the flag varieties, J. Math. Soc. Japan, 37, 3, 537-556, (1985) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; arithmetic sequences; determinantal ideals; Betti numbers; minimal free resolutions Gimenez, P., Sengupta, I., Srinivasan, H.: Minimal free resolutions for certain affine monomial curves. In: Commutative Algebra and Its connections to Geometry, Contemporary Mathematics, vol. 555, AMS, (2011) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) strongly unobstructed ideal; strongly Cohen-Macaulay ideal; local Gorenstein ring; homology modules of a Koszul complex W. V. Vasconcelos and R. Villarreal, On Gorenstein ideals of codimension four, Proc. Amer. Math. Soc. 98 (1986), 205--210. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; regular powers; star configurations; graded minimal free resolution | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 modules; singularities; formal power series | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 Cohen-Macaulay representation type; graded isolated singularity; AS-Cohen-Macaulay algebras; noncommutative quadric hypersurfaces 10.1090/proc/12527 | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) degree of a point; arithmetically Cohen-Macaulay curve; variety of minimal degree L. Bazzotti and M. Casanellas, Separators of points on algebraic surfaces,J. Pure Appl. Algebra 207 (2006), 319--326. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 ideals; Koszul homology modules; linkage class W. Vasconcelos, Koszul homology and the structure of low codimension Cohen-Macaulay ideals , Trans. Amer. Math. Soc. 301 (1987), 591-613. \noindentstyle | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Rao modules; locally Cohen-Macaulay space curves | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) circular complexes; \(F\)-splitting; characteristic \(p\); Cohen-Macaulay variety V. B. Mehta, V. Trivedi, The variety of circular complexes and F -splitting, Invent. Math. 137 (1999), no. 2, 449--460. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) determinantal ideal; free modules; polynomial ring; free resolutions; boundary map G. Boffi,The universal form of the Littlewood-Richardson rule, Advances Math.68 (1988), 64--84. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) excellent local Henselian algebra; maximal Cohen-Macaulay modules | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) homological conjectures; multiplicities; Cohen-Macaulay modules; direct summand conjecture P.~C.~Roberts, \emph{The homological conjectures}, Progress in Commutative Algebra 1, de Gruyter, Berlin, 2012; pp. 199--230. zbl 1276.13015; MR2932586 | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) powers of ideals; Rees ring; associated graded ring; primary decomposition; Cohen-Macaulay ring; determinantal ideals Bruns, W., Algebras defined by powers of determinantal ideals, J. Algebra, 142, 150-163, (1991) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) adjoint line bundles; syzygies; minimal free resolutions | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) embeddings of blow-ups; Cohen-Macaulay property; graded Rees algebra; complete intersection ideal; diagonal subalgebra Aldo Conca, Jürgen Herzog, Ngô Viêt Trung, and Giuseppe Valla, Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces, Amer. J. Math. 119 (1997), no. 4, 859 -- 901. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 summands in maximal Cohen-Macaulay approximations; hypersurface rings; isolated singularity; Gorenstein rings; syzygy module | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) zero-dimensional scheme; generic set of points in projective space; minimal graded free resolution; minimal resolution conjecture Hirschowitz, A.; Simpson, C., La résolution minimale de l'idéal d'un arrangement général d'un grand nombre de points dans \(\mathbb{P}^n\), Invent. Math., 126, 3, 467-503, (1996) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 of points; Kleinian singularities; maximal Cohen-Macaulay modules; matrix factorizations; smoothability | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Fourier-Mukai partners; Kodaira degenerations; \(K\)-groups; matrix factorizations; category of singularities; Cohen-Macaulay modules | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 resolutions; sparse determinantal ideals; Eagon-Northcott complex Boocher, A., Free resolutions and sparse determinantal ideals, \textit{Math. Res. Lett.}, 19, 4, 805-821, (2012) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Gorensteinness; minimal number of generators; Cohen-Macaulay ring; complete intersection Ein, L.: On the Cohomology of projective Cohen-Macaulay determinantal varieties of \(\mathbb {P}^{n}\), in Geometry of complex projective varieties (Cetraro, 1990), 143-152, Seminars and Conferences 9 Mediterranean Press (1993) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 projective planes; point modules; line modules; Cohen-Macaulay modules; modules over elliptic algebras; Gelfand-Kirillov dimension; one-dimensional schemes; elliptic curves; quantum planes Ajitabh, K, Modules over elliptic algebras and quantum planes, Proc. London Math. Soc., 72, 567-587, (1996) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Hartshorne-Rao modules; arithmetically Cohen-Macaulay scheme; local complete intersection; codimension two subscheme; analytic spread three; quasi-complete intersection; first infinitesimal neighborhood; liaison class | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) degree; genus; minimal free resolutions; Hartshorne-Rao module; Hilbert scheme of space curves; liaison; curves in the minimal shift Mireille Martin-Deschamps and Daniel Perrin, Sur la classification des courbes gauches, Astérisque 184-185 (1990), 208 (French). | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) graded Betti number; arithmetically Cohen-Macaulay scheme; partial intersection subscheme; Hilbert function; generators of the vanishing ideal; syzygies Ragusa, A.; Zappalà, G.: Partial intersection and graded Betti numbers. Beitr. algebra geom. 44, No. 1, 285-302 (2003) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Clifford index; nonhyperelliptic smooth curve; graded Betti numbers; minimal free resolution; Green's conjecture --. --. --. --., ``Green's conjecture for general \(p\)-gonal curves of large genus'' in Algebraic Curves and Projective Geometry (Trento, Italy, 1988) , Lecture Notes in Math. 1389 , Springer, Berlin, 1989, 254--260. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) \(SL(2,\mathbb{C})\); Cousin complexes; resolutions of representations; Cousin- Dolbeault complex; Verma modules; BGG resolution | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) semi-algebraic sets; fewnomials; degree bounds for the defining equations; Cohen-Macaulay schemes; local cohomology modules | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 order; monomial preorder; weight order; leading ideal; standard basis; flat deformation; dimension; descent of properties; regular locus; normal locus; Cohen-Macaulay locus; graded invariants; toric ring | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Huneke issue; maximal Cohen-Macaulay modules; syzygies; hypersurface rings; stable module category | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Hilbert functions; Betti numbers; minimal free resolutions; level; \(k\)-configurations; type vectors | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; multiplicity; pure resolutions; embedding of; projective 2-space Craig Huneke and Matthew Miller, A note on the multiplicity of Cohen-Macaulay algebras with pure resolutions, Canad. J. Math. 37 (1985), no. 6, 1149-1162. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) curves; one-dimensional Cohen-Macaulay rings; associated graded ring; dimension; multiplicity; index of regularity; Hilbert-Samuel function Juan Elias, The regularity index and the depth of the tangent cone of curve singularities, Japan. J. Math. (N.S.) 22 (1996), no. 1, 51 -- 68. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 of ideals and modules; Cohen-Macaulay approximations; even linkage class; maximal Cohen-Macaulay modules | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; arithmetically Cohen-Macaulay; lone divisor; minimal divisor Dolcetti A.: Index of speciality and Arithmetically Gorenstein subschemes. Adv. Geom. 5, 347--352 (2005) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 scheme; arithmetic genus; Borel-fixed monomial ideal; degree; generic initial idea; Hilbert function; minimal system of generators; regularity Cho, H.M.; Cho, Y.H.; Park, J.P., Generic initial ideals of arithmetically Cohen-Macaulay projective subschemes, Commun. Algebra, 35, 2281-2297, (2007) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; \(F\)-splitting; Kempf's resolution; action of linear groups; Schubert variety; variety of complexes V.B. Mehta and V. Trivedi, Variety of complexes and \(F\) -splitting, J. Alg. 215 (1999), 352-365. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) free modules; lifting an isomorphism of complexes; isomorphisms of singularities | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 lying on a smooth cubic surface; Hartshorne-Rao module of a curve; graded Betti numbers of a minimal free resolution Giuffrida, On the resolution of a curve lying on a smooth cubic surface in P3, Trans. Am. Math. Soc. 331 pp 181-- (1992) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) reflection groups; hyperplane arrangements; maximal Cohen-Macaulay modules; matrix factorizations; noncommutative desingularization | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) BGG correspondence; Cohen-Macaulay; cone; simplicial complex Fløystad, G.; Vatne, J. E., (Bi)-Cohen-Macaulay simplicial complexes and their associated coherent sheaves, Comm. Algebra, 33, 9, 3121-3136, (2005) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 extension; Artin-Schelter regular algebra; Calabi-Yau algebra; superpotential algebra; non-commutative algebraic geometry; tensor-algebras; Gelfand-Kirillov dimension; global dimension; Cohen-Macaulay; Gorenstein; graded algebras; twisted Calabi-Yau algebras; Frobenius algebras; normal extension; twisted superpotential; superpotential; connected graded algebra; Nakayama automorphism; homological determinant | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Betti diagrams; Cohen-Macaulay modules; pure resolution; cohomology of vector bundles; vector bundle with natural cohomology Fløystad, Gunnar, Boij-Söderberg theory: introduction and survey, progress in commutative algebra 1, 1-54, (2012), de Gruyter Berlin, MR 2932580 | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) face lattice; dualizing complex of affine semigroup ring; local cohomology modules; \(S_ 1\); locally Cohen-Macaulay; Buchsbaum; Gorenstein Uwe Schäfer and Peter Schenzel, Dualizing complexes of affine semigroup rings, Trans. Amer. Math. Soc. 322 (1990), no. 2, 561 -- 582. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 modules; depth; MCM; number of generators; multiplicity; MGMCM modules; normal hypersurface domain Brennan, J. P.; Herzog, J.; Ulrich, B., Maximally generated maximal Cohen-Macaulay modules, \textit{Math. Scand.}, 61, 2, 181-203, (1987) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 ideal; regular sequence; minimal link; generic linkage; complete intersection; non-Gorenstein locus Huneke, C; Ulrich, B, Minimal linkage and the Gorenstein locus of an ideal, Nagoya Math. J., 109, 159-167, (1988) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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 graded module; index of regularity; Cohen-Macaulay; geometric genus; complete intersection Morales, M., Fonctions de Hilbert, genre géométrique d'une singularité quasi homogène Cohen-Macaulay [hilbert functions, geometric genus of a Cohen-Macaulay quasihomogeneous singularity], C. R. acad. sci. Paris Sér. I math., 301, 14, 699-702, (1985) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) commutative algebra; CW-resolutions; minimal free resolutions; monomial ideals | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Hilbert functions; minimal free resolutions; Lefschetz elements; star-configurations; Weak Lefschetz Property , Star-configurations in P2having generic Hilbert function and the weak Lefschetz property, Comm. Algebra 40 (2012), no. 6, 2226--2242. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) bound properties on maximal Cohen-Macaulay modules; henselian ring; Auslander-Reiten quivers; Gorenstein isolated singularity Popescu, D., Roczen, M.: Indecomposable Cohen-Macaulay modules and irreducible maps. Compositio Math.76, 277--294 (1990) | 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) Hilbert functions; points in generic position; ideal of points; number of generators; Cohen-Macaulay type; minimal resolution conjecture; Betti numbers Lorenzini, A.: The Minimal Resolution Conjecture. J. Algebra156, 5--35 (1993). | 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) Cohen-Macaulay scheme; Hilbert function; codimension two; CM varieties; minimal genus; CM curves; CM schemes Treger, R, On equations defining arithmetically Cohen-Macaulay schemes III, J. Algebra, 125, 58-65, (1989) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) cluster algebras; Fomin-Zelevinsky mutations; Cohen-Macaulay modules; Calabi-Yau algebras; Serre functors; derived categories; cluster categories; affine Weyl groups; tilting modules; complements; exchange modules Iyama, O.; Reiten, I., \textit{Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras}, Amer. J. Math., 130, 1087-1149, (2008) | 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) associative algebras; DG-algebras; regular sequences; strongly free sets; inert sets; Koszul complexes; Shafarevich complexes; Tate resolutions; complete intersections E. S. Golod, ''Noncommutative complete intersections and homology of Shafarevich complex,''Usp. Mat. Nauk,52, No. 4, 201--202 (1997). | 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) linkage; Buchsbaum ring; I-ring; intersection multiplicity; weak sequences; surjectivity criterion; face rings of simplicial complexes; liaison; Buchsbaumness; Rees modules Stückrad, J., Vogel, W.: Buchsbaum rings and its applications. Springer, Berlin (1986) | 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) triangle singularity; Kleinian singularity; Fuchsian singularity; weighted projective line; vector bundle; singularity category; Cohen-Macaulay module; stable category; ADE-chain; Nakayama algebra; Happel-Seidel symmetry D. Kussin, H. Lenzing, and H. Meltzer, \emph{Triangle singularities, {ADE}-chains, and weighted projective lines}, Adv. Math. \textbf{237} (2013), 194--251. \MR{3028577} | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; 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; analytic spectrum; homological codimension; meromorphic function; normalization sheaf; Weierstrass algebra; local complex analysis; coherent analytic sheaves [28] R. Remmert, Local theory of complex spaces, Several complex variables, VII, Encyclopaedia Math. Sci. 74, Springer, Berlin, 1994, p. 7-96 &MR 13 | &Zbl 0808. | 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) Lattice polytopes; Cohen-Macaulay rings Batyrev, Victor V.: Lattice polytopes with a given h\ast-polynomial. Contemp. math. 423, 1-10 (2006) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) syzygies; minimal free resolution; property \(N_p\) | 0 |
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