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Primes of superspecial reduction for QM abelian surfaces.
- Source :
-
Bulletin of the London Mathematical Society . Apr2008, Vol. 40 Issue 2, p311-318. 1p. - Publication Year :
- 2008
-
Abstract
- We show that any abelian surface with multiplication by the quaternion ℚ-algebra of discriminant 6, with field of moduli ℚ and which is a Jacobian in characteristic 2 and 3, has infinitely many primes of superspecial reduction. This is done by examining complex multiplication points in characteristic 0 and p and the values of a certain j-function on the associated moduli space at these points. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00246093
- Volume :
- 40
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 34962538
- Full Text :
- https://doi.org/10.1112/blms/bdn008