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Abelian surfaces in toric 4-folds

1998/04/30 by G. K. Sankaran
Mathematics · #math.AG #msc:14K05 #msc:14M25

paper · pdf

published as Math. Ann. 313 (1999), 409-427 · 19 pages, 1 figures, plain TeX with epsf. Typos corrected and referenced updated

arxiv created 1999/07/02 · arxiv updated 2009/11/30

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.

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