Comptes Rendus
Algebraic Geometry
On the regularity of special difference divisors
[Sur la régularité des diviseurs différence spéciaux]
Comptes Rendus. Mathématique, Volume 351 (2013) no. 3-4, pp. 107-109.

Dans cette note, nous montrons que les diviseurs différence associés aux cycles spéciaux sur des espaces de Rapoport–Zink unitaires de signature (1,n1) dans le cas non ramifié sont toujours réguliers.

In this note we prove that the difference divisors associated with special cycles on unitary Rapoport–Zink spaces of signature (1,n1) in the unramified case are always regular.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.02.001
Ulrich Terstiege 1

1 Universität Duisburg-Essen, Institut für Experimentelle Mathematik, Ellernstrasse 29, 45326 Essen, Germany
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Ulrich Terstiege. On the regularity of special difference divisors. Comptes Rendus. Mathématique, Volume 351 (2013) no. 3-4, pp. 107-109. doi : 10.1016/j.crma.2013.02.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.02.001/

[1] B. Gross On canonical and quasi-canonical liftings, Invent. Math., Volume 84 (1986), pp. 321-326

[2] S. Kudla; M. Rapoport Special cycles on unitary Shimura varieties, I. Unramified local theory, Invent. Math., Volume 184 (2011), pp. 629-682

[3] S. Kudla; M. Rapoport Special cycles on unitary Shimura varieties, II. Global theory | arXiv

[4] M. Rapoport; U. Terstiege; W. Zhang On the Arithmetic Fundamental Lemma in the minuscule case | arXiv

[5] U. Terstiege, Intersections of special cycles on the Shimura variety for GU(1,2), J. Reine Angew. Math., , in press. | DOI

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