Which algebraic groups are Picard varieties?
Algebraic Geometry
2013-12-24 v2
Abstract
We show that every connected commutative algebraic group over an algebraically closed field of characteristic 0 is the Picard variety of some projective variety, obtained by pinching a smooth variety along a finite subscheme. In contrast, no Witt group of dimension at least 3 over a perfect field of prime characteristic is isogenous to the Picard variety obtained by this construction.
Keywords
Cite
@article{arxiv.1310.0186,
title = {Which algebraic groups are Picard varieties?},
author = {Michel Brion},
journal= {arXiv preprint arXiv:1310.0186},
year = {2013}
}
Comments
Statement and proof of Theorem 2 corrected