Geodesic
Unitary cycles on Shimura curves and the Shimura lift. I
Documenta mathematica, Tome 18 (2013), pp. 1403-1464.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This paper concerns two families of divisors, which we call the `orthogonal' and `unitary' special cycles, defined on integral models of Shimura curves. The orthogonal family was studied extensively by Kudla-Rapoport-Yang, who showed that they are closely related to the Fourier coefficients of modular forms of weight 3/2, while the unitary divisors are analogues of cycles appearing in more recent work of Kudla-Rapoport on unitary Shimura varieties. Our main result relates these two families by (a formal version of) the Shimura lift.
Classification : 14G35, 11G18, 11F30 
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     author = {Sankaran, Siddarth},
     title = {Unitary cycles on {Shimura} curves and the {Shimura} lift. {I}},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a7/}
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Sankaran, Siddarth. Unitary cycles on Shimura curves and the Shimura lift. I. Documenta mathematica, Tome 18 (2013), pp. 1403-1464. http://geodesic.mathdoc.fr/item/DOCMA_2013__18__a7/