A LOWER-BOUND FOR SECTIONAL GENERA OF AMPLE AND SPANNED VECTOR-BUNDLES ON ALGEBRAIC-SURFACES

Authors
LANTERI A RUSSO F
Citation
A. Lanteri et F. Russo, A LOWER-BOUND FOR SECTIONAL GENERA OF AMPLE AND SPANNED VECTOR-BUNDLES ON ALGEBRAIC-SURFACES, Proceedings of the American Mathematical Society, 119(4), 1993, pp. 1053-1059
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
119
Issue
4
Year of publication
1993
Pages
1053 - 1059
Database
ISI
SICI code
0002-9939(1993)119:4<1053:ALFSGO>2.0.ZU;2-1
Abstract
Let E be an ample and spanned vector bundle of rank r over a complex p rojective surface S. It is shown that the sectional genus g(S, det E) is bounded from below by the number b = max{q(S), 2 - rchi(O(S)))} and pairs (S, E) satisfying b less-than-or-equal-to g(S, det E) less-than -or-equal-to b + 1 are characterized.