Abelian surfaces in toric 4-folds

Details Abelian surfaces in toric 4-folds Abelian surfaces in toric 4-folds

1998-04-22

arxiv.org/abs/math/9804107v2

Math. Ann. 313 (1999), 409-427

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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