English

A Bertini-type theorem for free arithmetic linear series

Algebraic Geometry 2016-01-21 v2

Abstract

In this paper, we prove a version of the arithmetic Bertini theorem asserting that there exists a strictly small and generically smooth section of a given arithmetically free graded arithmetic linear series.

Keywords

Cite

@article{arxiv.1311.6588,
  title  = {A Bertini-type theorem for free arithmetic linear series},
  author = {Hideaki Ikoma},
  journal= {arXiv preprint arXiv:1311.6588},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-22T02:14:56.027Z