The class of the affine line is a zero divisor in the Grothendieck ring: Via G 2 -Grassmannians

Atsushi Ito, Makoto Miura, Shinnosuke Okawa, Kazushi Ueda

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Motivated by [J. Algebraic Geom. 27 (2018), pp. 203–209] and [C. R. Math. Acad. Sci. Paris 354 (2016), pp. 936–939], we show the equality ([X] − [Y ])·[A 1 ] = 0 in the Grothendieck ring of varieties, where (X, Y ) is a pair of Calabi-Yau 3-folds cut out from the pair of Grassmannians of type G 2 .

Original languageEnglish
Pages (from-to)245-250
Number of pages6
JournalJournal of Algebraic Geometry
Volume28
Issue number2
DOIs
Publication statusPublished - 2018
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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