Varieties with vanishing holomorphic Euler characteristic II

Jungkai A. Chen; Zhi Jiang

Varieties with vanishing holomorphic Euler characteristic II

Algebraic Geometry 2013-11-19 v1

Authors: Jungkai A. Chen , Zhi Jiang

Abstract

We continue our study on smooth complex projective varieties $X$ of maximal Albanese dimension and of general type satisfying $\chi(X, \omega_X)=0$ . We formulate a conjectural characterization of such varieties and prove this conjecture when the Albanese variety has only three simple factors.

Keywords

projective varieties vanishing theorem toric varieties

Cite

@article{arxiv.1311.4316,
  title  = {Varieties with vanishing holomorphic Euler characteristic II},
  author = {Jungkai A. Chen and Zhi Jiang},
  journal= {arXiv preprint arXiv:1311.4316},
  year   = {2013}
}

Comments

27 pages

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