Matrix Factorizations for Complete Intersections and Minimal Free Resolutions

2013/06/11 by David Eisenbud, Eisenbud, David, Irena Peeva +1 · 2 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1306.2615

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.

Citations

• Linear maximal Cohen-Macaulay modules over strict complete intersections

Cited by

• On the Finite F-representation type and F-signature of hypersurfaces
• Reflexive modules on normal Gorenstein Stein surfaces, their deformations and moduli

Related

• Periodic free resolutions from twisted matrix factorizations
• Riemannian Perspective on Matrix Factorization
• Higher-dimensional module factorizations and complete intersections
• Matrix factorizations in higher codimension
• New examples of higher-dimensional minimal hypersurfaces