Del Pezzo surfaces of degree 1 and jacobians
arXiv:math/0605592 · doi:10.1007/s00208-007-0157-4
Abstract
We construct absolutely simple jacobians of non-hyperelliptic genus 4 curves, using Del Pezzo surfaces of degree 1. This paper is a natural continuation of author's paper math.AG/0405156.
We have updated references and fixed some typos. The description of the set of fixed points of Bertini involution (end of Section 2.2) is corrected. Proof of Theorem 3.11 (second paragraph) is corrected