The log Grothendieck ring of varieties

2024/12/10 by Andreas Gross, Leo Herr, Gross, Andreas +7
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2412.07715

openalex publication_date 2024/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.

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