English

Abelian surfaces in toric 4-folds

Algebraic Geometry 2007-05-23 v2

Abstract

We investigate the possibility of embedding minimal abelian surfaces in smooth toric 4-folds with Picard number 2. The existence of such an embedding imposes conditions on the 4-fold, which we partly describe. On the other hand, we exhibit such embeddings in a special case, using a simple description of morphisms into smooth toric varieties.

Keywords

Cite

@article{arxiv.math/9804107,
  title  = {Abelian surfaces in toric 4-folds},
  author = {G. K. Sankaran},
  journal= {arXiv preprint arXiv:math/9804107},
  year   = {2007}
}

Comments

19 pages, 1 figures, plain TeX with epsf. Typos corrected and referenced updated

R2 v1 2026-07-22T17:58:21.058Z