On abelian varieties over the prime field F_p

Tommaso Centeleghe

Date(s) : 03/04/2014   iCal
11 h 00 min - 12 h 00 min

Thanks to a result of Deligne, the category of ordinary abelian varieties over a finite field k can be described in terms of finite free Z-modules equipped with a linear operator F (playing the role of Frobenius) satisfying certain axioms. In a recent joint work with Jakob Stix, we prove a similar result for the full subcategory of abelian varieties over the prime field F_p given by those objects not admitting a non trivial morphism to a certain simple surface. In the talk I will describe the method we use, which is completely different from that of Deligne.

Tommaso Centeleghe, Universität Heidelberg


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