The log Grothendieck ring of varieties

We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``\(P\)'' 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.

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-12
Main Authors: Gross, Andreas, Herr, Leo, Holmes, David, Spelier, Pim, Vogel, Jesse
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``\(P\)'' 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.
ISSN:2331-8422