Admissible Invariants of Genus 3 Curves
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Heidelberg
Open Access Color
BRONZE
Green Open Access
Yes
OpenAIRE Downloads
95
OpenAIRE Views
183
Publicly Funded
No
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Impulse
Average
Influence
Average
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Average
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
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
4
Source
Manuscripta Mathematica
Volume
148
Issue
3-4
Start Page
317
End Page
339
PlumX Metrics
Citations
CrossRef : 2
Scopus : 5
SCOPUS™ Citations
5
checked on Mar 28, 2026
Web of Science™ Citations
6
checked on Mar 28, 2026
Downloads
1
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