English

Standard Conjecture D for matrix factorizations

Algebraic Geometry 2020-03-05 v2 Commutative Algebra K-Theory and Homology

Abstract

We prove the non-commutative analogue of Grothendieck's Standard Conjecture D for the dg-category of matrix factorizations of an isolated hypersurface singularity in characteristic 0. Along the way, we show the Euler pairing for such dg-categories of matrix factorizations is positive semi-definite.

Keywords

Cite

@article{arxiv.1905.04626,
  title  = {Standard Conjecture D for matrix factorizations},
  author = {Michael K. Brown and Mark E. Walker},
  journal= {arXiv preprint arXiv:1905.04626},
  year   = {2020}
}
R2 v1 2026-06-23T09:03:52.045Z