Del Pezzo surfaces of degree 1 and jacobians
Algebraic Geometry
2024-08-05 v9 Number Theory
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.
Keywords
Cite
@article{arxiv.math/0605592,
title = {Del Pezzo surfaces of degree 1 and jacobians},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:math/0605592},
year = {2024}
}
Comments
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