On the supersingular loci of quaternionic Siegel space
-
Oliver Bültel
oliver.bueltel@uni-due.de
Downloads
DOI:
https://doi.org/10.4067/S0719-06462014000300006Abstract
The paper studies the supersingular locus of the characteristic p moduli space of principally polarized abelian 8-folds that are equipped with an action of a maximal order in a quaternion algebra, that is non-split at ∞ but split at p. The main result is that its irreducible components are Fermat surfaces of degree p + 1.
Keywords
Similar Articles
- S.V. Ludkovsky, Wrap groups of fiber bundles and their structure , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Robert Auffarth, Giancarlo Lucchini Arteche, Pablo Quezada, Smooth quotients of abelian surfaces by finite groups that fix the origin , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Saharon Shelah, Nɴ-free abelian group with no non-zero homomorphism to ℤ , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Peter Danchev, Notes on the Isomorphism and Splitting Problems for Commutative Modular Group Algebras , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Rubén A. Hidalgo, A sufficiently complicated noded Schottky group of rank three , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- David M. Arnold, An Introduction to the Structure of Abelian Groups , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Bruno Aguiló Vidal, Free dihedral actions on abelian varieties , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Robert Auffarth, Pseudoinversos de morfismos entre variedades abelianas , CUBO, A Mathematical Journal: In Press
- Rubén A. Hidalgo, Totally Degenerate Extended Kleinian Groups , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
- Erika Griechisch, Some Theoretical Issues Concerning Hamming Coding , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2014-10-01
How to Cite
[1]
O. Bültel, “On the supersingular loci of quaternionic Siegel space”, CUBO, vol. 16, no. 3, pp. 67–85, Oct. 2014.
Issue
Section
Articles
