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MAXIMAL COHEN-MACAULAY MODULES OVER HYPERSURFACE RINGS
"... This paper is a brief survey on various methods to classify maximal Cohen-Macaulay modules over hypersurface rings. The survey focuses on the contributions in this topic of Dorin Popescu together with his collaborators. 1 ..."
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This paper is a brief survey on various methods to classify maximal Cohen-Macaulay modules over hypersurface rings. The survey focuses on the contributions in this topic of Dorin Popescu together with his collaborators. 1
MAXIMAL COHEN–MACAULAY MODULES OVER THE GENERIC DETERMINANT
, 2006
"... Part of the Mathematics Commons This Article is brought to you for free and open access by the Mathematics at SURFACE. It has been accepted for inclusion in Mathematics Faculty Scholarship by an authorized administrator of SURFACE. For more information, please contact surface@syr.edu. Recommended Ci ..."
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Citation Buchweitz, Ragnar-Olaf and Leuschke, Graham J., "Factoring the Adjoint and Maximal Cohen-Macaulay Modules over the Generic
THE HILBERT FUNCTION OF A MAXIMAL COHEN-MACAULAY MODULE
, 2004
"... Abstract. We study Hilbert functions of maximal Cohen-Macaulay modules over Cohen-Macaulay local rings. We show that if A is a hypersurface ring with dimension d> 0 then the Hilbert function of M with respect to m is nondecreasing. If A = Q/(f) for some regular local ring Q, we determine a lower ..."
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Cited by 2 (1 self)
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Abstract. We study Hilbert functions of maximal Cohen-Macaulay modules over Cohen-Macaulay local rings. We show that if A is a hypersurface ring with dimension d> 0 then the Hilbert function of M with respect to m is nondecreasing. If A = Q/(f) for some regular local ring Q, we determine a lower
MAXIMAL COHEN-MACAULAY MODULES AND TATE-COHOMOLOGY OVER GORENSTEIN RINGS
"... The main theme of this article is: Why should one consider Maximal Cohen-Macaulay Modules? Although there has been a lot of work and success lately in the theory of such modules, of which this conference witnessed, it has remained mysterious- at least to the present author- why these modules provide ..."
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Cited by 163 (2 self)
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The main theme of this article is: Why should one consider Maximal Cohen-Macaulay Modules? Although there has been a lot of work and success lately in the theory of such modules, of which this conference witnessed, it has remained mysterious- at least to the present author- why these modules
MAXIMAL COHEN-MACAULAY MODULES OVER SURFACE SINGULARITIES
"... Abstract. This is a survey article about properties of Cohen-Macaulay modules over surface singularities. We discuss properties of the Macaulayfication functor, reflexive modules over simple, quotient and minimally elliptic singularities, geometric and algebraic McKay Correspondence. Finally, we des ..."
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Cited by 13 (1 self)
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Abstract. This is a survey article about properties of Cohen-Macaulay modules over surface singularities. We discuss properties of the Macaulayfication functor, reflexive modules over simple, quotient and minimally elliptic singularities, geometric and algebraic McKay Correspondence. Finally, we
FACTORING THE ADJOINT AND MAXIMAL COHEN–MACAULAY MODULES OVER THE GENERIC DETERMINANT
, 2006
"... Abstract. A question of Bergman [3] asks whether the adjoint of the generic square matrix over a field can be factored nontrivially as a product of square matrices. We show that such factorizations indeed exist over any coefficient ring when the matrix has even size. Establishing a correspondence be ..."
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Cited by 2 (1 self)
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between such factorizations and extensions of maximal Cohen–Macaulay modules over the generic determinant, we exhibit all factorizations where one of the factors has determinant equal to the generic determinant. The classification shows not only that the Cohen–Macaulay representation theory of the generic
Results 1 - 10
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