The log Grothendieck ring of varieties
Algebraic Geometry
2024-12-11 v1
Abstract
We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``'' over the usual Grothendieck ring. We show the na\"ive definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Cite
@article{arxiv.2412.07715,
title = {The log Grothendieck ring of varieties},
author = {Andreas Gross and Leo Herr and David Holmes and Pim Spelier and Jesse Vogel},
journal= {arXiv preprint arXiv:2412.07715},
year = {2024}
}
Comments
19 pages. Comments welcome