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Matrix Factorizations for Complete Intersections and Minimal Free Resolutions (1306.2615v4)
Published 11 Jun 2013 in math.AC, math-ph, math.AG, math.CT, and math.MP
Abstract: Matrix factorizations of a hypersurface yield a description of the asymptotic structure of minimal free resolutions over the hypersurface. We introduce a new concept of matrix factorizations for complete intersections that allows us to describe the asymptotic structure of minimal free resolutions over complete intersections.