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arXiv · 2412.07715

The log Grothendieck ring of varieties

Andreas Gross·Leo Herr·David Holmes·Pim Spelier·Jesse Vogel
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Abstract

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.

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Andreas Gross, Leo Herr, David Holmes, Pim Spelier, Jesse Vogel. 2024-12-10. The log Grothendieck ring of varieties. https://arxiv.org/abs/2412.07715

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