✦ LIBER ✦

Higher order birational embeddings of Del Pezzo surfaces

✍ Scribed by Andreas Leopold Knutsen

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 203 KB
Volume: 254-255
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310063

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✦ Synopsis

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.

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