Complex surfaces polarized by an ample and spanned line bundle of genus three |
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Authors: | Antonio Lanteri Elvira Laura Livorni |
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Institution: | (1) Dipartimento di Matematica F. Enriques , Università, Via C. Saldini, 50, I-20133 Milano, Italy;(2) Dipartimento di Matematica Pura e Applicata, Università, Via Roma, Pal. Del Tosto, I-67100 L'Aquila, Italy |
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Abstract: | Let X be a complex connected projective nonsingular algebraic surface endowed with an ample line bundle L, which is spanned by its global sections. Pairs (X, L) as above, with sectional genus g(X, L)=1+(L·(K
X
L))/2=3 are classified by means of the main techniques of adjunction theory. |
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Keywords: | 14C20 14J25 |
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