Embedding of Selmer group associated to relative Frobenius morphism of an abelian variety into the group of homomorphism of vector bundles

Thesis

In this thesis we show that the Selmer group of the relative Frobenius morphism of an abelian variety defined on the function field of a projective and smooth curve $C$ over a finite field $k_{0}$ of characteristic $p>0$ can be embedded into the group of homomorphisms between two natural vector bundles over $C$.

Authors: Wu, Z

• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: Selmer group; abelian variety; relative Frobenius morphism
• Subjects: Schemes (Algebraic geometry)