Edited 4-Theta embeddings of Jacobians

Details Edited 4-Theta embeddings of Jacobians Edited 4-Theta embeddings of Jacobians

2002-09-04

arxiv.org/abs/math/0209413v1

Mathematics

Number Theory

Scientific paper

By the Lefschetz embedding theorem, a principally polarized $g$-dimensional abelian variety is embedded into projective space by the linear system of $4^g$ half-characteristic theta functions. Suppose we {\em edit} this linear system by dropping all the theta functions vanishing at the origin to order greater than parity requires. We prove that for Jacobians the edited $4\Theta$ linear system still defines an embedding into projective space. Moreover, we prove that the projective models of Jacobians arising from the elementary construction of Jacobians recently given by the author are (after passage to linear hulls) copies of the edited $4\Theta$ model. Thus, for all compact Riemann surfaces, we tie together algebraic and analytic Jacobians in a new way.

Affiliated with

Also associated with

No associations

Rating

Edited 4-Theta embeddings of Jacobians 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 Edited 4-Theta embeddings of Jacobians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Edited 4-Theta embeddings of Jacobians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-466461