Tohoku Mathematical Journal
2006
September
SECOND SERIES VOL. 58, NO. 3

Tohoku Math. J.
58 (2006), 447-459

Title FUJITA'S VERY AMPLENESS CONJECTURE FOR SINGULAR TORIC VARIETIES

Author Sam Payne

(Received February 1, 2005, revised May 16, 2005)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 14M24;Secondary 14C20, 52B20.

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