Homological Units

作者:Abuaf Roland*
来源:International Mathematics Research Notices, 2017, (22): 6943-6960.
DOI:10.1093/imrn/rnw170

摘要

We define the notion of homological units and study their invariance properties. Some applications are given to the categorical study Hodge numbers. In particular, we prove that if X and Y are derived equivalent smooth projective varieties of dimension 4 having the same h(1,1), then they have the same Hodge numbers. We finally give a geometric interpretation of the conjectural invariance of homological units in terms of derived Jacobians.

  • 出版日期2017-11

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