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arXiv · 1701.00738

Drinfeld-Stuhler modules

Mihran Papikian
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Abstract

We study $\mathscr{D}$-elliptic sheaves in terms of their associated modules, which we call Drinfeld-Stuhler modules. We prove some basic results about Drinfeld-Stuhler modules and their endomorphism rings, and then examine the existence and properties of Drinfeld-Stuhler modules with large endomorphism algebras, which are analogous to CM and supersingular Drinfeld modules. Finally, we examine the fields of moduli of Drinfeld-Stuhler modules.

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Mihran Papikian. 2017-01-03. Drinfeld-Stuhler modules. https://arxiv.org/abs/1701.00738

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