Admissible Invariants of Genus 3 Curves
| dc.contributor.author | Cinkir, Zubeyir | |
| dc.date.accessioned | 2025-09-25T10:40:08Z | |
| dc.date.available | 2025-09-25T10:40:08Z | |
| dc.date.issued | 2015 | |
| dc.description.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. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey-TUBITAK [110T686]; BAGEP of Science Academy | en_US |
| dc.description.sponsorship | This work is supported by The Scientific and Technological Research Council of Turkey-TUBITAK (Project No: 110T686) and by BAGEP of The Science Academy. | en_US |
| dc.identifier.doi | 10.1007/s00229-015-0759-1 | |
| dc.identifier.issn | 0025-2611 | |
| dc.identifier.issn | 1432-1785 | |
| dc.identifier.scopus | 2-s2.0-84945490330 | |
| dc.identifier.uri | https://doi.org/10.1007/s00229-015-0759-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/3198 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Manuscripta Mathematica | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Admissible Invariants of Genus 3 Curves | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Cinkir, Zubeyir | |
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| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | Abdullah Gul Univ, Dept Ind Engn, TR-38080 Kayseri, Turkey | en_US |
| gdc.description.endpage | 339 | en_US |
| gdc.description.issue | 3-4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 317 | en_US |
| gdc.description.volume | 148 | en_US |
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| gdc.oaire.keywords | Mathematics - Number Theory | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Mathematics - Combinatorics | |
| gdc.oaire.keywords | Number Theory (math.NT) | |
| gdc.oaire.keywords | Combinatorics (math.CO) | |
| gdc.oaire.keywords | polarized metrized graph | |
| gdc.oaire.keywords | Equations and inequalities (educational aspects) | |
| gdc.oaire.keywords | admissible dualizing sheaf | |
| gdc.oaire.keywords | Curves of arbitrary genus or genus \(\ne 1\) over global fields | |
| gdc.oaire.keywords | Applications of graph theory to circuits and networks | |
| gdc.oaire.keywords | Heights | |
| gdc.oaire.keywords | Inequalities for trigonometric functions and polynomials | |
| gdc.oaire.keywords | genus | |
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| gdc.virtual.author | Çınkır, Zübeyir | |
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