Admissible invariants of genus 3 curves

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Cinkir Z.

MANUSCRIPTA MATHEMATICA, vol.148, pp.317-339, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 148
  • Publication Date: 2015
  • Doi Number: 10.1007/s00229-015-0759-1
  • Journal Name: MANUSCRIPTA MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.317-339
  • Abdullah Gül University Affiliated: Yes

Abstract

Several invariants of polarized metrized graphs and their applications in Arithmetic Geometry are studied recently. In this paper, we explicitly calculated these admissible invariants for all curves of genus 3. We find the sharp lower bound for the invariants phi, lambda and epsilon for all polarized metrized graphs of genus 3. This improves the lower bound given for Effective Bogomolov Conjecture for such curves.