English

Hyperelliptically fibred surfaces with nodes

Algebraic Geometry 2024-02-29 v3

Abstract

Using elementary methods of algebraic geometry, we present constructions of hyperelliptically fibred surfaces containing nodal fibres.

Keywords

Cite

@article{arxiv.2401.16698,
  title  = {Hyperelliptically fibred surfaces with nodes},
  author = {Edoardo Ballico and Elizabeth Gasparim and Bruno Suzuki},
  journal= {arXiv preprint arXiv:2401.16698},
  year   = {2024}
}

Comments

This is an elementary text suitable for a minicourse on hyperelliptic fibrations. Following an observation of F. Polizzi, we have made a correction on the last section. To appear in Annali dell'Universit\`a di Ferrara

R2 v1 2026-06-28T14:31:06.852Z