On the supersingular loci of quaternionic Siegel space
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...
Guardado en:
| Autor principal: | |
|---|---|
| Lenguaje: | English |
| Publicado: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2014
|
| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300006 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| id |
oai:scielo:S0719-06462014000300006 |
|---|---|
| record_format |
dspace |
| spelling |
oai:scielo:S0719-064620140003000062018-10-08On the supersingular loci of quaternionic Siegel spaceBültel,Oliver supersingular abelian varieties Shimura varieties orthogonal groups 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.3 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300006en10.4067/S0719-06462014000300006 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
supersingular abelian varieties Shimura varieties orthogonal groups |
| spellingShingle |
supersingular abelian varieties Shimura varieties orthogonal groups Bültel,Oliver On the supersingular loci of quaternionic Siegel space |
| description |
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. |
| author |
Bültel,Oliver |
| author_facet |
Bültel,Oliver |
| author_sort |
Bültel,Oliver |
| title |
On the supersingular loci of quaternionic Siegel space |
| title_short |
On the supersingular loci of quaternionic Siegel space |
| title_full |
On the supersingular loci of quaternionic Siegel space |
| title_fullStr |
On the supersingular loci of quaternionic Siegel space |
| title_full_unstemmed |
On the supersingular loci of quaternionic Siegel space |
| title_sort |
on the supersingular loci of quaternionic siegel space |
| publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
| publishDate |
2014 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300006 |
| work_keys_str_mv |
AT bulteloliver onthesupersingularlociofquaternionicsiegelspace |
| _version_ |
1714206790598524928 |