Degenerations of non-simple abelian surfaces
Nelson Alvarado
TL;DR
This paper investigates how non-simple abelian surfaces degenerate within the toroidal compactification of the moduli space, describing the resulting degenerate surfaces and embedded elliptic curves.
Contribution
It provides a detailed description of degenerations of non-simple abelian surfaces and the structure of degenerate elliptic curves within them.
Findings
Classification of degenerate abelian surfaces
Description of degenerate elliptic curves
Insights into boundary behavior in moduli space
Abstract
We study degenerations of non-simple principally polarized abelian surfaces to the boundary in the toroidal compactification of , and describe the degenerate abelian surfaces as well as the degenerate elliptic curves that live inside them.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric Analysis and Curvature Flows