Strong Franchetta Conjecture for Linear Systems
Algebraic Geometry
2014-02-11 v1
Abstract
In this paper, we study rational sections of the relative Picard variety of a linear system on a smooth projective variety. Specifically, we prove that if the linear system is basepoint-free and the locus of non-integral divisors has codimension at least two, then all rational sections of the relative Picard variety come from restrictions of line bundles on the variety.
Cite
@article{arxiv.1402.2128,
title = {Strong Franchetta Conjecture for Linear Systems},
author = {Matthew Woolf},
journal= {arXiv preprint arXiv:1402.2128},
year = {2014}
}
Comments
7 pages; comments welcome