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The Selmer group of isogenies of rank one
06 Jun
06. June 2019
Oberseminar Zahlentheorie und Arithmetische Geometrie

The Selmer group of isogenies of rank one

I will describe the proof of the fact that the Selmer group of an isogeny of height one between abelian varieties over a global function field of positive characteristic can be embedded in the group of homomorphisms between two natural vector bundles on the smooth projective model of the function field. This can be seen as a refinement of a special case of a theorem of Artin-Milne (see Prop. 1.1 in M. Artin and J.S. Milne, Duality in the flat cohomology of curves, Invent. Math. 35 (1976), 111–129). This result can for instance be applied to the relative Frobenius morphism. I will then describe some arithmetic applications of this result.

Speaker

Prof. Dr. Damian Rössler (University of Oxford)

Organiser

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Date

06. June 2019
12:00 o'clock - 13:00 o'clock

Public contact

Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Welfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-d@math.uni-hannover.de

Location

Hauptgebäude
Building: 1101
Room: a410
Welfengarten 1
30167 Hannover
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