English

The Severi problem for abelian surfaces in the primitive case

Algebraic Geometry 2020-07-23 v2

Abstract

We prove that the irreducible components of primitive class Severi varieties of general abelian surfaces are completely determined by the maximal factorization through an isogeny of the maps from the normalized curves.

Keywords

Cite

@article{arxiv.1811.01281,
  title  = {The Severi problem for abelian surfaces in the primitive case},
  author = {Adrian Zahariuc},
  journal= {arXiv preprint arXiv:1811.01281},
  year   = {2020}
}

Comments

Major revision in v2: structure changed, many parts completely rewritten

R2 v1 2026-06-23T05:03:15.475Z