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Drinfeld-Stuhler modules and the Hasse principle by Arai, Keisuke; Kondo, Satoshi; Papikian, Mihran is a scholarly article available to read on EtoBox.

What is Drinfeld-Stuhler modules and the Hasse principle about?

We develop a theory of canonical isogeny characters of Drinfeld-Stuhler modules similar to the theory of canonical isogeny characters of abelian surfaces with quaternionic multiplication. We then apply this theory to give explicit criteria for the non-existence of rational points on Drinfeld-Stuhler modular varieties over the finite extensions of $\mathbb{F}_q(T)$. This allows us to produce explicit examples of Drinfeld-Stuhler curves violating the Hasse principle.

Author

Arai, Keisuke; Kondo, Satoshi; Papikian, Mihran

Published

2019

Language

EN