Cohen-Macaulay type of endomorphism rings of abelian varieties over finite fields

Abstract: In this talk, we will speak about the (Cohen-Macaulay) type of the endomorphism ring of abelian varieties over a finite field with commutative endomorphism algebra. We will exhibit a condition on the type of $\mathrm{End}(A)$ implying that $A$ cannot be isomorphic to its dual. In particular, such an $A$ cannot be principally polarised or a Jacobian. This is partly joint work with Caleb Springer.

algebraic geometrynumber theory

Audience: researchers in the topic

MIT number theory seminar

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