Let L be a very ample line bundle over a smooth complex 4-fold X. Suppose that the linear system |L| contains a reducible element A+B, where A and B are smooth irreducible divisors meeting transversally. We provide a list of such pairs (X,L) for which the sectional genus of A and B with respect to L is zero.

On reducible hyperplane sections of 4-folds / A. Lanteri, A.L. Tironi. - In: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. - ISSN 0025-5645. - 53:3(2001), pp. 559-563. [10.2969/jmsj/05330559]

On reducible hyperplane sections of 4-folds

A. Lanteri
Primo
;
A.L. Tironi
Ultimo
2001

Abstract

Let L be a very ample line bundle over a smooth complex 4-fold X. Suppose that the linear system |L| contains a reducible element A+B, where A and B are smooth irreducible divisors meeting transversally. We provide a list of such pairs (X,L) for which the sectional genus of A and B with respect to L is zero.
4-folds ; Hyperplane sections ; Adjunction theory ; Simple normal crossing divisors ; Fano manifolds
Settore MAT/03 - Geometria
2001
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/43051
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