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© Hindawi Publishing Corp. THE FIELD OF MODULI OF QUATERNIONIC MULTIPLICATION ON ABELIAN VARIETIES

open access: yes, 2003
We consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties.
Victor Rotger
core  

p-adic Borel extension for local Shimura varieties

open access: yesForum of Mathematics, Sigma
We show that the moduli spaces of Scholze’s p-adic shtukas with framing satisfy a p-adic rigid analytic version of Borel’s extension theorem. In particular, this holds for local Shimura varieties, for all local Shimura data $(G, [b],\{\mu ...
Abhishek Oswal, Georgios Pappas
doaj   +1 more source
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The Gross-Kohnen-Zagier Theorem in Higher Dimensions

Duke Mathematical Journal, 1999
Richard Borcherds
exaly  

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