English

$q$-birational morphisms and divisors

Algebraic Geometry 2022-12-07 v3

Abstract

In this paper, we define the notions qq-birational morphism and qq-birational divisor and develop the theory about them. We state and prove versions of Kodaira-type vanishing theorem and Zariski decomposition theorem for qq-birational divisors.

Keywords

Cite

@article{arxiv.2209.07720,
  title  = {$q$-birational morphisms and divisors},
  author = {Donghyeon Kim},
  journal= {arXiv preprint arXiv:2209.07720},
  year   = {2022}
}

Comments

Comments are welcome. A simple but crucial typo is corrected: $f^{-1}_*\Delta$ in the LHS of (3.7) was omitted

R2 v1 2026-06-28T01:25:09.443Z