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. [10.1090/S0002-9939-1993-1176482-3]
A lower bound for sectional genera of ample and spanned vector bundles on algebraic surfaces
A. LanteriPrimo
;
1993
Abstract
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
S0002-9939-1993-1176482-3.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Dimensione
641.23 kB
Formato
Adobe PDF
|
641.23 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.