The log Grothendieck ring of varieties

Published 10 Dec 2024 in math.AG | (2412.07715v1)

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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