English

Motivic zeta function via dlt modification

Algebraic Geometry 2023-06-28 v2

Abstract

Given a smooth variety XX and a regular function ff on it, by considering the dlt modification, we define the dlt motivic zeta function Zmotdlt(s)Z^{\rm dlt}_{\rm mot}(s) which does not depend on the choice of the dlt modification.

Keywords

Cite

@article{arxiv.1408.4708,
  title  = {Motivic zeta function via dlt modification},
  author = {Chenyang Xu},
  journal= {arXiv preprint arXiv:1408.4708},
  year   = {2023}
}

Comments

Unfortunately, the main theorem which claims a dlt motivic zeta function is well defined, is erroneous. See arXiv:2112.00609 for more details

R2 v1 2026-06-22T05:34:54.253Z