科研之友
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摘要
The main object of the present paper is a numerical criterion determining when a Weil divisor of a -factorial complete toric variety admits a positive multiple Cartier divisor which is either numerically effective (nef) or ample. It is a consequence of -linear interpretation of Gale duality and secondary fan as developed in several previous papers of us. As a byproduct we get a computation of the Cartier index of a Weil divisor and a numerical characterization of weak -Fano, -Fano, Gorenstein, weak Fano and Fano toric varieties. Several examples are then given and studied.
- 出版日期2017-11
