FFRT Properties of hypersurfaces and their F-signature

Abstract

This paper studies properties of certain hypersurfaces in prime characteristic: we give a sufficient and necessary conditions for some classes of such hypersurfaces to have Finite $F$-representation Type (FFRT) and we compute the $F$-signatures of these hypersurfaces. The main method used in this paper is based on finding explicit matrix factorizations.

arXiv admin note: substantial text overlap with arXiv:1608.05287

References in corpus (2)

• Matrix Factorizations for Complete Intersections and Minimal Free Resolutions
• On the associated primes of local cohomology