arXiv Analytics

Sign in

arXiv:1410.1317 [math.AG]AbstractReferencesReviewsResources

Nonemptiness of Ekedahl-Oort strata for projective Shimura varieties of Hodge type

Jean-Stefan Koskivirta

Published 2014-10-06Version 1

We construct non-vanishing global sections of powers of the Hodge bundle on each Ekedahl-Oort stratum of a Hodge-type Shimura variety. In particular, we deduce that all Ekedahl-Oort strata are quasi-affine. In the projective case, this gives a very short proof of non-emptiness of Ekedahl-Oort strata.

Comments: 8 pages
Categories: math.AG
Subjects: 14G35, 14K10, 20G40, 11G18
Related articles: Most relevant | Search more
arXiv:0808.2537 [math.AG] (Published 2008-08-19)
Ekedahl-Oort strata and Kottwitz-Rapoport strata
arXiv:1406.2178 [math.AG] (Published 2014-06-09, updated 2014-09-24)
Generalized Hasse invariants for Shimura varieties of Hodge type
arXiv:1312.4869 [math.AG] (Published 2013-12-17, updated 2017-07-04)
Ekedahl-Oort strata for good reductions of Shimura varieties of Hodge type

Links

Toolbox