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Applications of geometric invariant theory to diophantine geometry
Geometric invariant theory is a central subject in nowadays' algebraic geometry : developed by Mumford in the early sixties, it enhanced the knowledge of projective... -
Explicit polynomial bounds for Arakelov invariants of Belyi curves
We explicitly bound the Faltings height of a curve over the field of algebraic numbers in terms of the Belyi degree. Similar bounds are proven for three other Arakelov... -
Algebraic dynamical systems and Dirichlet's unit theorem on arithmetic varieties
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