Let X be a complex projective smooth surface endowed with an ample line bundle L, which is spanned by its global sections. Pairs (X,L) as above are classified under the assumption that X is not birationally ruled and that g(L)=4. The result is obtained by combining the geometry of the finite morphism associated to |L| with the abstract structure of X.
|Titolo:||Complex projective surfaces of nonnegative Kodaira dimension polarized by an ample and spanned line bundle of genus four|
LANTERI, ANTONIO (Primo)
PALLESCHI, MARINO (Ultimo)
|Parole Chiave:||complex projective surface; ample and spanned line bundle; sectional genus; classification|
|Settore Scientifico Disciplinare:||Settore MAT/03 - Geometria|
|Data di pubblicazione:||1990|
|Appare nelle tipologie:||01 - Articolo su periodico|