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arXiv · 1510.01583

Homological units

Roland Abuaf
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Abstract

We define and study the invariance properties of homological units. Some applications are given to the derived invariance of Hodge numbers. In particular, we prove that if X and Y are derived equivalent smooth projective varieties of dimension 4 having the same Picard number, then they have the same Hodge numbers. We also give a geometric interpretation of the conjectural invariance of homological units in terms of derived Jacobians.

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Roland Abuaf. 2015-10-06. Homological units. https://arxiv.org/abs/1510.01583

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