Let X be a complex projective manifold and A \subset X a non-singular hypersurface which is an ample divisor having characteristic cycles A_i non-singular in every dimension i \geq 0. The pairs (X,A) such that g(A_1) = h^{1,0}(X) are characterized.
Characterizing projective bundles by means of ample divisors / A. Lanteri, M. Palleschi. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 45:3(1984), pp. 207-218. [10.1007/BF01158037]
Characterizing projective bundles by means of ample divisors
A. LanteriPrimo
;M. PalleschiUltimo
1984
Abstract
Let X be a complex projective manifold and A \subset X a non-singular hypersurface which is an ample divisor having characteristic cycles A_i non-singular in every dimension i \geq 0. The pairs (X,A) such that g(A_1) = h^{1,0}(X) are characterized.
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