Degrees of polarizations on an abelian surface with real multiplication

Details Degrees of polarizations on an abelian surface with real multiplication Degrees of polarizations on an abelian surface with real multiplication

2000-12-07

arxiv.org/abs/math/0012045v1

Mathematics

Number Theory

14 pages; LaTeX2e source; to be published in Bulletin of the LMS

Scientific paper

Let F be a real quadratic field, and let R be an order in F. Suppose given a polarized abelian surface (A,\lambda) defined over a number field k with a symmetric action of R defined over k. This paper considers varying A within the k-isogeny class of A to reduce the degree of \lambda and the conductor of R. It is proved, in particular, that there is a k-isogenous principally polarized abelian surface with an action of the full ring of integers of F when F has class number 1 and the degree of \lambda and the conductor of R are odd and coprime.

Affiliated with

Also associated with

No associations

Rating

Degrees of polarizations on an abelian surface with real multiplication does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Degrees of polarizations on an abelian surface with real multiplication, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Degrees of polarizations on an abelian surface with real multiplication will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579429