English

Holonomic D-modules and positive characteristic

Rings and Algebras 2010-10-15 v1 Quantum Algebra

Abstract

This article is based on the 5th Takagi Lectures delivered at the University of Tokyo in 2008. We discuss a hypothetical correspondence between holonomic D-modules on an algebraic variety X defined over a field of zero characteristic, and certain families of Lagrangian subvarieties in the cotangent bundle to X. The correspondence is based on the reduction to positive characteristic.

Keywords

Cite

@article{arxiv.1010.2908,
  title  = {Holonomic D-modules and positive characteristic},
  author = {Maxim Kontsevich},
  journal= {arXiv preprint arXiv:1010.2908},
  year   = {2010}
}

Comments

29 pages

R2 v1 2026-06-21T16:28:28.698Z