Graded matrix factorizations of size two and reduction
Algebraic Geometry
2021-07-16 v2 Representation Theory
Abstract
We associate a complete intersection singularity to a graded matrix factorization of size two of a polynomial in three variables. We show that we get an inverse to the reduction of singularities considered by C.T.C.Wall. We study this for the full strongly exceptional collections in the triangulated category of graded matrix factorizations constructed by H.Kajiura, K.Saito, and the second author.
Cite
@article{arxiv.2101.05075,
title = {Graded matrix factorizations of size two and reduction},
author = {Wolfgang Ebeling and Atsushi Takahashi},
journal= {arXiv preprint arXiv:2101.05075},
year = {2021}
}
Comments
18 pages