Admissible invariants of genus 3 curves
Admissible invariants of genus 3 curves
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DOI：
10.1007/s00229-015-0759-1
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发表时间：
2014-05
影响因子：
0.6
通讯作者：
Zubeyir Cinkir
中科院分区：
文献类型：
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作者：
Zubeyir Cinkir
最近研究了极化度量化图的几个不变量及其在算术几何中的应用。本文显式地计算了亏格为3的所有曲线的这些允许不变量，得到了亏格为3的极化度量化图的不变量φ，λ和ε的精确下界，改进了这类曲线的有效Bogomolov猜想的下界。
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 invariantsφ,λandεfor all polarized metrized graphs of genus 3. This improves the lower bound given for Effective Bogomolov Conjecture for such curves.