The Brill-Noether curve and Prym-Tyurin varieties
Algebraic Geometry
2013-01-04 v2
Abstract
We prove that the Jacobian of a general curve C of genus g=2a+1, with g>4, can be realized as a Prym-Tyurin variety for the Brill-Noether curve W^1_{a+2}(C). As a consequence of this result we are able to compute the class of the sum of the secant divisors for the curve C, embedded with a complete linear series g^{a-1}_{3a-2}
Keywords
Cite
@article{arxiv.1203.2780,
title = {The Brill-Noether curve and Prym-Tyurin varieties},
author = {Angela Ortega},
journal= {arXiv preprint arXiv:1203.2780},
year = {2013}
}
Comments
7 pages; Minor changes; to appear in Mathematische Annalen