Class of the affine line is a zero divisor in the Grothendieck ring

2014/12/19 by Lev Borisov, Borisov, Lev
Mathematics · #14A10 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14A10

paper · pdf · doi:10.48550/arxiv.1412.6194

minor exposition changes (6 pages)

arxiv created 2015/03/12 · arxiv updated 2015/03/13

Abstract

We show that the class of the affine line is a zero divisor in the Grothendieck ring of algebraic varieties over complex numbers. The argument is based on the Pfaffian-Grassmannian double mirror correspondence.

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