Arakelov invariants of Belyi curves

Leiden Repository

Arakelov invariants of Belyi curves

Title: Arakelov invariants of Belyi curves
Author: Javan Peykar, Ariyan
Publisher: Mathematical Institute, Faculty of Science, Leiden University
Issue Date: 2013-06-11
Keywords: Arakelov invariants
Arithmetic surfaces
Branched covers
Faltings height
Riemann surfaces
Shafarevich conjecture
Abstract: We bound Arakelov invariants of curves in terms of their Belyi degree. We give three applications which are algorithmic, geometric and Diophantine of nature, respectively
Description: Promotores: Bas Edixhoven, Jean-Benoit Bost, Co-promotor: Robin de Jong
With Summaries in Dutch abd French
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Javan Peykar, A., 2013, Doctoral thesis, Leiden University

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application/pdf Title page_Contents 903.2Kb View/Open
application/pdf Introduction 273.8Kb View/Open
application/pdf Chapter 1 396.1Kb View/Open
application/pdf Chapter 2 446.1Kb View/Open
application/pdf Chapter 3 360.7Kb View/Open
application/pdf Chapter 4 354.7Kb View/Open
application/pdf Summary in Dutch 257.2Kb View/Open
application/pdf Summary in French 259.6Kb View/Open
application/pdf Acknowledgements_Curriculum Vitae 159.4Kb View/Open
application/pdf Propositions 187.1Kb View/Open

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