The log Grothendieck ring of varieties
Publication date
2026-01
Authors
Gross, Andreas
Herr, Leo
Holmes, David
Spelier, Pim
Vogel, Jesse
Editors
Advisors
Supervisors
Document Type
Article
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Abstract
We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “ (Formula presented.) ” 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.
Keywords
Algebraic-manifolds, Hodge-structures, Integrals, Periods
Citation
Gross, A, Herr, L, Holmes, D, Spelier, P & Vogel, J 2026, 'The log Grothendieck ring of varieties', Bulletin of the London Mathematical Society, vol. 58, no. 1, e70204. https://doi.org/10.1112/blms.70204