L-zero divisors in the Grothendieck ring of varieties.

Dr Evgeny Shinder (The University of Sheffield)

Frank Adams 1,

We discuss classes of non-isomorphic algebraic varieties X, Y such that [X] - [Y] is annihilated by a power L^n of the affine line in the Grothendieck ring of varieties. Interesting examples include Calabi-Yau threefolds (Borisov, Ito-Miura-Okawa-Ueda), and K3 surfaces (my work in progress joint with A.Kuznetsov).

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