Let X be a complex projective smooth threefold and let L be an ample line bundle on X, spanned by its global sections. Pairs (X,L) as above with c_1(L)^3=3, g(L)=3 and h^0(L)=4 are classified by combining the investigation of their adjunction theoretic sctructure with the classification of surfaces polarized by an ample and spanned line bundle of genus three.
Triple solids of sectional genus three / A. Lanteri, E.L. Livorni. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - 2:(1990), pp. 297-306.
Triple solids of sectional genus three
A. LanteriPrimo
;
1990
Abstract
Let X be a complex projective smooth threefold and let L be an ample line bundle on X, spanned by its global sections. Pairs (X,L) as above with c_1(L)^3=3, g(L)=3 and h^0(L)=4 are classified by combining the investigation of their adjunction theoretic sctructure with the classification of surfaces polarized by an ample and spanned line bundle of genus three.
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