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arXiv · 1905.04626

Standard Conjecture D for matrix factorizations

Michael K. Brown·Mark E. Walker
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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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Michael K. Brown, Mark E. Walker. 2019-05-12. Standard Conjecture D for matrix factorizations. https://arxiv.org/abs/1905.04626

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