Admissible invariants of genus 3 curves


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Cinkir Z.

MANUSCRIPTA MATHEMATICA, cilt.148, ss.317-339, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 148
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00229-015-0759-1
  • Dergi Adı: MANUSCRIPTA MATHEMATICA
  • Sayfa Sayısı: ss.317-339

Özet

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.