A note about connectedness theorems a la Barth
Algebraic Geometry
2016-09-29 v1
Abstract
We prove Barth-type connectedness results for low-codimension smooth subvarieties with good numerical properties inside certain "easy" ambient spaces (such as homogeneous varieties, or spherical varieties). The argument employs some basics from the theory of cones of cycle classes, in particular the notion of bigness of a cycle class.
Cite
@article{arxiv.1609.08797,
title = {A note about connectedness theorems a la Barth},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:1609.08797},
year = {2016}
}
Comments
To appear (in slightly different form) in Geom. Dedicata. 11 pages, comments very welcome !