Two-dimensional complex tori with multiplication by $\sqrt{d}$

Details Two-dimensional complex tori with multiplication by $\sqrt{d}$ Two-dimensional complex tori with multiplication by $\sqrt{d}$

1998-08-05

arxiv.org/abs/math/9808020v1

Mathematics

Algebraic Geometry

Latex, 4 pages

Scientific paper

We give an elementary argument for the well known fact that the endomorphism algebra $End_Q(A)$ of a simple complex abelian surface $A$ can neither be an imaginary quadratic field nor a definite quaternion algebra. Another consequence of our argument is that a two-dimensional complex torus $T$ with $Q(\sqrt{d})\subseteq End_Q(A)$ where $Q(\sqrt{d})$ is real quadratic, is algebraic.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional complex tori with multiplication by $\sqrt{d}$ 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 Two-dimensional complex tori with multiplication by $\sqrt{d}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional complex tori with multiplication by $\sqrt{d}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-347877