Algebraic surfaces with nonhyperelliptic linear pencil of genus 4 and irregularity one

  • T. Takahashi National Institute of Technology, Japan

Abstract

We construct algebraic surfaces with nonhyperelliptic linear pencil of genus 4 and of rank 3 whose slope is equal to 4 and with irregularity one. Furthermore, we consider the converse. Namely, we obtain the structure of the surfaces with the above properties.

 

Published
2024-02-12
Section
Articoli