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.
Complex projective surfaces of nonnegative Kodaira dimension polarized by an ample and spanned line bundle of genus four / A. Lanteri, M. Palleschi. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - 39:1(1990), pp. 85-104.
Complex projective surfaces of nonnegative Kodaira dimension polarized by an ample and spanned line bundle of genus four
A. LanteriPrimo
;M. PalleschiUltimo
1990
Abstract
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.
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