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## Koszul duality between Betti and Cohomology numbers in Calabi-Yau case

math. arxive. Cornell University, 2017. No. 1711.06931.
Let X be a smooth projective Calabi-Yau variety and L a Koszul line bundle on X. We show that for Betti numbers of a maximal Cohen-Macaulay module over the homogeneous coordinate ring A of X there are formulas similar to the formulas for cohomology number. This similarity is realized via the box-product resolution of the diagonal ΔX⊂X×X.