By using adjunction theory, we describe the smooth complex projective threefolds admitting a simple normal crossing divisor of the form A+B among their hyperplane sections, both components A and B being smooth surfaces with sectional genus 0, and one of them being nef or at worst an exceptional divisor of the first reduction mapping.

Reducible hyperplane sections of threefolds: two components of sectional genus zero / A. Lanteri, A.L. Tironi. - In: KODAI MATHEMATICAL JOURNAL. - ISSN 0386-5991. - 27:3(2004), pp. 299-320.

Reducible hyperplane sections of threefolds: two components of sectional genus zero

A. Lanteri;A.L. Tironi
2004

Abstract

By using adjunction theory, we describe the smooth complex projective threefolds admitting a simple normal crossing divisor of the form A+B among their hyperplane sections, both components A and B being smooth surfaces with sectional genus 0, and one of them being nef or at worst an exceptional divisor of the first reduction mapping.
3-folds ; ample and spanned line bundles ; adjunction theory ; simple normal crossing divisors ; sectional genus ; special varieties
Settore MAT/03 - Geometria
2004
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/5780
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