English

A Note on the Effective Non-vanishing Conjecture

Algebraic Geometry 2008-02-27 v3

Abstract

We give a reduction of the irregular case for the effective non-vanishing conjecture by virtue of the Fourier-Mukai transform. As a consequence, we reprove that the effective non-vanishing conjecture holds on algebraic surfaces.

Keywords

Cite

@article{arxiv.0710.2267,
  title  = {A Note on the Effective Non-vanishing Conjecture},
  author = {Qihong Xie},
  journal= {arXiv preprint arXiv:0710.2267},
  year   = {2008}
}

Comments

3 pages; v2: a remark is added; v3: final version

R2 v1 2026-06-21T09:30:32.181Z