COMPUTATION OF POLARIZED METRIZED GRAPH INVARIANTS BY USING DISCRETE LAPLACIAN MATRIX

被引：3
|
作者：
Cinkir, Zubeyir [1 ]
机构：
[1] Zirve Univ, Dept Math, TR-27260 Gaziantep, Turkey
来源：
MATHEMATICS OF COMPUTATION | 2015年 / 84卷 / 296期
关键词：
Metrized graph; polarized metrized graph; invariants of polarized metrized graphs; the tau constant; resistance function; the discrete Laplacian matrix; pseudo inverse and relative dualizing sheaf; BOGOMOLOV CONJECTURE; GENUS; 2; CURVES;
D O I：
10.1090/mcom/2981
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Several invariants of polarized metrized graphs and their applications in Arithmetic Geometry have been studied recently. In this paper, we give fast algorithms to compute these invariants by expressing them in terms of the discrete Laplacian matrix and its pseudo inverse. The algorithm we give can be used for both symbolic and numerical computations. We present various examples to illustrate the implementation of these algorithms.
引用
收藏
页码：2953 / 2967
页数：15
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