A Noether-Lefschetz Theorem for Spectral Varieties with Applications
Algebraic Geometry
2021-09-22 v1
Abstract
We calculate the Picard group of generic (very general) spectral varieties living in the total space of a very ample line bundle over an algebraically closed field of odd characteristics or characteristic 0. We follow the strategy of Ravindra and Srinivas [RS06,RS09] via formal Picard groups. As an application, we calculate the generic fibers of Hitchin systems over a smooth quintic surface of Picard number 1.
Cite
@article{arxiv.2109.09989,
title = {A Noether-Lefschetz Theorem for Spectral Varieties with Applications},
author = {Xiaoyu Su and Bin Wang},
journal= {arXiv preprint arXiv:2109.09989},
year = {2021}
}
Comments
19 pages, on figure. Comments welcome!