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On some (co)homological invariants of coherent matrix factorizations

Published 30 Nov 2020 in math.AG | (2011.14740v1)

Abstract: We provide an equivalence between the dg category of coherent matrix factorizations and a certain dg category of absolute singularities. As an application, we compute the l-adic cohomology of the dg category of coherent matrix factorizations, as well as its Hochschild and periodic cyclic homologies (these last two only in the affine case).

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