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Higher Embeddings of General Blowups of Ruled Surfaces

✍ Scribed by H. Tutaj-Gasińska


Book ID
106199035
Publisher
Springer Vienna
Year
2001
Tongue
English
Weight
93 KB
Volume
133
Category
Article
ISSN
0026-9255

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## Abstract Let __L__ be a nef line bundle on a Del Pezzo surface. We show that __L__ + __K~S~__ is birationally __k__–very ample if and only if all the smooth curves in |__L__| have gonality ≥__k__ + 2, and we also find numerical criteria for birational __k__–very ampleness.