Let E be an ample and spanned vector bundle of rank r over a complex projective 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.
A lower bound for sectional genera of ample and spanned vector bundles on algebraic surfaces / A. Lanteri, F. Russo. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 119:4(1993), pp. 1053-1059.
Titolo: | A lower bound for sectional genera of ample and spanned vector bundles on algebraic surfaces |
Autori: | LANTERI, ANTONIO (Primo) |
Parole Chiave: | complex projective surface; ample vector bundle; sectional genus; adjunction |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria |
Data di pubblicazione: | 1993 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1090/S0002-9939-1993-1176482-3 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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