Specialization of birational types

2017/08/18 by Maxim Kontsevich, Yuri Tschinkel, Kontsevich, Maxim +1 · 6 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1708.05699

Abstract

We introduce a simplified version of the Grothendieck group of algebraic varieties and use it to show that birational types specialize in families with mild singularities of the central fiber.

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