English

Derived invariance of the numbers $h^{0,p}(X)$

Algebraic Geometry 2019-07-30 v2 Category Theory

Abstract

Let X1X_1 and X2X_2 be derived equivalent smooth projective varieties over the field of complex numbers. We prove that the numbers h0,p(X1)h^{0,p}(X_1) and h0,p(X2)h^{0,p}(X_2) are equal for any pp.

Keywords

Cite

@article{arxiv.1907.08721,
  title  = {Derived invariance of the numbers $h^{0,p}(X)$},
  author = {Roland Abuaf},
  journal= {arXiv preprint arXiv:1907.08721},
  year   = {2019}
}

Comments

A wrong fact on Hochschild homology was used in the proof of the main result (section 2, Theorem 2.0.4)