Matrix Factorizations for Complete Intersections and Minimal Free Resolutions
نویسندگان
چکیده
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 minimal free resolutions over complete intersections.
منابع مشابه
MINIMAL FREE RESOLUTIONS over COMPLETE INTERSECTIONS
We begin the chapter with some history of the results that form the background of this book. We then define higher matrix factorizations, our main focus. While classical matrix factorizations were factorizations of a single element, higher matrix factorizations deal directly with sequences of elements. In section 1.3, we outline our main results. Throughout the book, we use the notation introdu...
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Article history: Received 31 May 2015 Available online 1 March 2016 Communicated by Luchezar L. Avramov MSC: primary 16E05, 16E35, 16E65
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