Standard Conjecture D for matrix factorizations

Published 12 May 2019 in math.AG, math.AC, and math.KT | (1905.04626v2)

Abstract: We prove the non-commutative analogue of Grothendieck's Standard Conjecture D for the dg-category of matrix factorizations of an isolated hypersurface singularity in characteristic 0. Along the way, we show the Euler pairing for such dg-categories of matrix factorizations is positive semi-definite.

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