Admissible Invariants of Genus 3 Curves
Admissible Invariants of Genus 3 Curves
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.
Description
Keywords
Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Number Theory (math.NT), Combinatorics (math.CO), polarized metrized graph, Equations and inequalities (educational aspects), admissible dualizing sheaf, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Applications of graph theory to circuits and networks, Heights, Inequalities for trigonometric functions and polynomials, genus
Fields of Science
01 natural sciences, 0101 mathematics
Citation
WoS Q
Scopus Q
OpenCitations Citation Count
4
Source
Volume
148
Issue
3-4
Start Page
317
End Page
339