Nef and big divisors on toric 3-folds with nef anti-canonical divisors

Details Nef and big divisors on toric 3-folds with nef anti-canonical divisors Nef and big divisors on toric 3-folds with nef anti-canonical divisors

2009-03-04

arxiv.org/abs/0903.0679v5

Mathematics

Algebraic Geometry

13 pages

Scientific paper

We show that an ample line bundle on a nonsingular toric 3-fold with nef
anti-canonical divisor is normally generated. We also show that an ample line
bundle whose adjoint bundle has global sections on a Gorensein toric Fano
3-fold is normally generated. In our proof we do not use classifications of
Fano polytopes.

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