Partially ample subvarieties of projective varieties
arXiv:1805.06926
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.
This is a revised version of the second part of arXiv:1511.07524