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QSharp Matsusaka‐Type Theorems on Surfaces
Author(s) -
Beltrametti M. C.,
Sommese A. J.
Publication year - 1998
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.19981910102
Subject(s) - mathematics , type (biology) , surface (topology) , jet (fluid) , line (geometry) , pure mathematics , combinatorics , bundle , geometry , mathematical analysis , physics , composite material , mechanics , materials science , ecology , biology
Let L be an ample line bundle on a smooth surface S. We give sharp lower bounds for tL to be k ‐jet ample based on the nefvalue of the pair (S,L). We also give sharp lower bounds for tL to be k ‐spanned.