English

Partially ample subvarieties of projective varieties

Algebraic Geometry 2018-05-21 v1

Abstract

We define partially ample subvarieties of projective varieties, generalizing Ottem's work on ample subvarieties, and show their ubiquity. As an application, we obtain a connectedness result for pre-images of subvarieties by morphisms, reminiscent to a problem posed by Fulton-Hansen.

Keywords

Cite

@article{arxiv.1805.06926,
  title  = {Partially ample subvarieties of projective varieties},
  author = {Mihai Halic},
  journal= {arXiv preprint arXiv:1805.06926},
  year   = {2018}
}

Comments

This is a revised version of the second part of arXiv:1511.07524

R2 v1 2026-06-23T01:59:10.502Z