The log Grothendieck ring of varieties

Fuente: arXiv
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Autori principali: Gross, Andreas, Herr, Leo, Holmes, David, Spelier, Pim, Vogel, Jesse
Natura: Preprint
Pubblicazione: 2024
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author Gross, Andreas
Herr, Leo
Holmes, David
Spelier, Pim
Vogel, Jesse
author_facet Gross, Andreas
Herr, Leo
Holmes, David
Spelier, Pim
Vogel, Jesse
contents 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 naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
format Preprint
id arxiv_https___arxiv_org_abs_2412_07715
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The log Grothendieck ring of varieties
Gross, Andreas
Herr, Leo
Holmes, David
Spelier, Pim
Vogel, Jesse
Algebraic Geometry
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 naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
title The log Grothendieck ring of varieties
topic Algebraic Geometry
url https://arxiv.org/abs/2412.07715