Derived invariance of the number of holomorphic 1-forms and vector fields - Mathematics > Algebraic GeometryReport as inadecuate




Derived invariance of the number of holomorphic 1-forms and vector fields - Mathematics > Algebraic Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: We prove that smooth projective varieties with equivalent derived categorieshave isogenous and sometimes isomorphic Picard varieties. In particular theirirregularity and number of independent vector fields are the same. This is turnimplies, in combination with the invariance of Hochschild homology, that allHodge numbers are the same for arbitrary derived equivalent threefolds.



Author: Mihnea Popa, Christian Schnell

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents