English

Twisted jets, motivic measure and orbifold cohomology

Algebraic Geometry 2024-02-27 v5

Abstract

We introduce the notion of twisted jet on a Deligne-Mumford stack. and study the motivic measure on the space of the twisted \infty-jets on a smooth Deligne-Mumford stack. As an application, we prove that two birational minimal models with Gorenstein quotient singularities have the same orbifold cohomology with Hodge structure.

Keywords

Cite

@article{arxiv.math/0110228,
  title  = {Twisted jets, motivic measure and orbifold cohomology},
  author = {Takehiko Yasuda},
  journal= {arXiv preprint arXiv:math/0110228},
  year   = {2024}
}

Comments

34 pages, to appear in Compositio Mathematica