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Birational invariants of rational surfaces

✍ Scribed by A. N. Skorobogatov


Publisher
SP MAIK Nauka/Interperiodica
Year
1986
Tongue
English
Weight
710 KB
Volume
39
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


Birational Morphisms of Rational Surface
✍ Brian Harbourne πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 253 KB

A fairly complete characterization on anticanonical rational surfaces of the divisor classes whose sections define birational morphisms is given. Most results are proven over an algebraically closed field of arbitrary characteristic.

Higher order birational embeddings of De
✍ 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.