English

Tensor product and irregularity for holonomic D-modules

Algebraic Geometry 2015-03-10 v1

Abstract

Let M be a complex of D-modules with bounded holonomic cohomology on a complex manifold. In this note, we prove that if the derived tensor product of M with itself is regular, then M is regular.

Keywords

Cite

@article{arxiv.1503.02204,
  title  = {Tensor product and irregularity for holonomic D-modules},
  author = {Jean-Baptiste Teyssier},
  journal= {arXiv preprint arXiv:1503.02204},
  year   = {2015}
}

Comments

To appear at C. R. Acad. Sci. Paris

R2 v1 2026-06-22T08:46:43.416Z