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On the birational rigidity of some pencils of Del Pezzo surfaces

✍ Scribed by M. Grinenko

Book ID
105676108
Publisher
Springer US
Year
2000
Tongue
English
Weight
470 KB
Volume
102
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES

Higher order birational embeddings of De
Higher order birational embeddings of Del Pezzo surfaces
✍ Andreas Leopold Knutsen πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 203 KB

## 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 β‰₯__k__ + 2, and we also find numerical criteria for birational __k__–very ampleness.