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Higher order birational embeddings of Del Pezzo surfaces
Author(s) -
Knutsen Andreas Leopold
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310063
Subject(s) - mathematics , order (exchange) , line bundle , bundle , ample line bundle , line (geometry) , pure mathematics , geometry , composite material , materials science , finance , economics
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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