Fujita's very ampleness conjecture for singular toric varieties

Details Fujita's very ampleness conjecture for singular toric varieties Fujita's very ampleness conjecture for singular toric varieties

2004-02-09

arxiv.org/abs/math/0402146v3

Tohoku Math. J. (2) 58 (2006), no. 3, 447--459.

Mathematics

Algebraic Geometry

15 pages. v2: minor revisions, updated references, added appendix with proof of Fujino's Theorem. v3: minor changes, final ver

Scientific paper

We present a self-contained combinatorial approach to Fujita's conjectures in
the toric case. Our main new result is a generalization of Fujita's very
ampleness conjecture for toric varieties with arbitrary singularities. In an
appendix, we use similar methods to give a new proof of an analogous toric
generalization of Fujita's freeness conjecture due to Fujino.

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