Abelian surfaces with anti-holomorphic multiplication

Details Abelian surfaces with anti-holomorphic multiplication Abelian surfaces with anti-holomorphic multiplication

2001-08-14

arxiv.org/abs/math/0108099v1

Mathematics

Algebraic Geometry

Scientific paper

For appropriate $N\ge 3$ and $d<0,$ the moduli space of principally polarized abelian surfaces with level $N$ structure and anti-holomorphic multiplication by $\mathcal O_d$ (the ring of integers in $\mathbb Q(\sqrt{d})$) is shown to consist of the real points of a quasi-projective algebraic variety defined over $\mathbb Q$, and to coincide with finitely many copies of the quotient of hyperbolic 3-space by the principal congruence subgroup of level $N$ in $\mathbf{SL}(2, \mathcal O_d).$

Affiliated with

Also associated with

No associations

Rating

Abelian surfaces with anti-holomorphic 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 Abelian surfaces with anti-holomorphic multiplication, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abelian surfaces with anti-holomorphic multiplication will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-76070