Noncommutative Complete Intersections and Matrix Integrals
نویسندگان
چکیده
منابع مشابه
6 Noncommutative Complete Intersections and Matrix Integrals
We introduce a class of noncommutatative algebras called representation complete intersections (RCI). A graded associative algebra A is said to be RCI provided there exist arbitrarily large positive integers n such that the scheme Rep n A, of n-dimensional representations of A, is a complete intersection. We discuss examples of RCI algebras, including those arising from quivers. There is anothe...
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Matrix factorizations of a hypersurface yield a description of the asymptotic structure of minimal free resolutions over the hypersurface, and also define a functor to the stable module category of maximal Cohen-Macaulay modules on the hypersurface. We introduce a new functorial concept of matrix factorizations for complete intersections that allows us to describe the asymptotic structure of mi...
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We establish two criteria for certain local algebras to be complete intersections. These criteria play an important role in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular. Introduction In this paper we discuss two results in commutative algebra that are used in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular [11]. We first fix some notation tha...
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2007
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2007.v3.n1.a4