Generation of k-jets on toric varieties |
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Authors: | Sandra Di Rocco |
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Affiliation: | (1) KTH, Department of Mathematics, S-100 44 Stockholm (e-mail: sandra@math.kth.se) , SE |
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Abstract: | The notion of a k-convex -support function for a toric variety is introduced. A criterion for a line bundle L to generate k-jets on X is given in terms of the k-convexity of the -support function . Equivalently L is proved to be k-jet ample if and only if the restriction to each invariant curve has degree at least k. Received October 22, 1997; in final form January 12, 1998 |
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Keywords: | Mathematics Subject Classification (1991):14M25 14J60 14C20 14C25 14E25 |
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