Homological units
Algebraic Geometry
2015-12-17 v2
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.
Keywords
Cite
@article{arxiv.1510.01583,
title = {Homological units},
author = {Roland Abuaf},
journal= {arXiv preprint arXiv:1510.01583},
year = {2015}
}
Comments
13 pages. Comments welcome. 2nd version : I prove isogeny of the derived Jacobians of two smooth projective derived equivalent varieties if they have dimension less or equal to 4