Cohen-Macaulay modules on hypersurface singularities II
نویسندگان
چکیده
منابع مشابه
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.
متن کاملRESULTS ON ALMOST COHEN-MACAULAY MODULES
Let $(R,underline{m})$ be a commutative Noetherian local ring and $M$ be a non-zero finitely generated $R$-module. We show that if $R$ is almost Cohen-Macaulay and $M$ is perfect with finite projective dimension, then $M$ is an almost Cohen-Macaulay module. Also, we give some necessary and sufficient condition on $M$ to be an almost Cohen-Macaulay module, by using $Ext$ functors.
متن کاملLiaison with Cohen–Macaulay modules
We describe some recent work concerning Gorenstein liaison of codimension two subschemes of a projective variety. Applications make use of the algebraic theory of maximal Cohen–Macaulay modules, which we review in an Appendix.
متن کاملSimple Cohen-Macaulay Codimension 2 Singularities
In this article, we provide a complete list of simple isolated CohenMacaulay codimension 2 singularities together with a list of adjacencies which is complete in the case of fat point and space curve singularities.
متن کاملIndecomposable Cohen-macaulay Modules and Their Multiplicities
The main aim of this paper is to find a large class of rings for which there are indecomposable maximal Cohen-Macaulay modules of arbitrary high multiplicity (or rank in the case of domains).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1987
ISSN: 0020-9910,1432-1297
DOI: 10.1007/bf01405096