On the Grothendieck ring of varieties

DOI10.1017/S0305004115000079zbMath1371.14014arXiv1311.1736MaRDI QIDQ5360317

Amit Kuber

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1736

Mathematics Subject Classification ID

Rational and birational maps (14E05) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

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• The Grothendieck ring of varieties and of the theory of algebraically closed fields
• The Grothendieck ring of varieties and piecewise isomorphisms
• Endomorphisms of symbolic algebraic varieties
• The Grothendieck ring of varieties is not a domain.
• Conics in the Grothendieck ring
• Variations on a question of Larsen and Lunts
• Torification and factorization of birational maps
• Combinatorics with Definable Sets: Euler Characteristics and Grothendieck Rings
• The universal Euler characteristic for varieties of characteristic zero
• Birational self-maps and piecewise algebraic geometry

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