Arakelov invariants of Belyi curves

Author(s):
Javan Peykar, A.
Published
2013
Publication type
Doctoral Thesis

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

Faltings heightArakelov invariantsBranched coversShafarevich conjectureRiemann surfacesArithmetic surfaces
Defense date
2013-06-11
Language
English
Supervisor(s)
Edixhoven, B.; Bost, J.B.
Advisor(s)
Jong, R. de
Qualification
Ph.D.
Degree granting institution
Faculty of Science, Leiden University, Leiden
hdl
1887/20949