Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci

Details Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci

2011-03-09

arxiv.org/abs/1103.1858v2

Mathematics

Algebraic Geometry

Scientific paper

We obtain, by a direct computation, explicit descriptions of all principally polarized semi-abelic varieties of torus rank up to 3. We describe the geometry of their symmetric theta divisors and obtain explicit formulas for the involution and its fixed points. These results allow us to give a new proof of the statements about the dimensions, for small genus, of the loci of ppav with theta divisor containing two-torsion points of multiplicity three. We also prove a result about the closure of this set. Our computations used in our work arXiv:1103.1857 to compute the class of the closure of the locus of intermediate jacobians of cubic threefolds in the Chow ring of the perfect cone compactification of the moduli space of principally polarized abelian fivefolds.

Affiliated with

Also associated with

No associations

Rating

Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci 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 Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-645104