Some remarks on varieties with projectively isomorphic hyperplane sections
type: Item
instance of: scholarly article
title: Some remarks on varieties with projectively isomorphic hyperplane sections
zbMATH Open document ID: 0836.14024
DOI: 10.1007/BF01263521
published in: Geometriae Dedicata
publication date: 1994-10-30T00:00:00Z
review text: Projective varieties with the property that two of their generic hyperplane sections are projectively isomorphic, are studied. The author shows that such varieties have uniruled hyperplane sections. In particular, threefolds with projectively isomorphic hyperplane sections either have rational sections or are \(\mathbb{P}^2\)-bundles over a curve.
Mathematics Subject Classification ID: 14J40
Mathematics Subject Classification ID: 14C17
Mathematics Subject Classification ID: 14J30
zbMATH DE Number: 679551
zbMATH Keywords: isomorphic hyperplane sections
zbMATH Keywords: threefolds
author: Rita Pardini
reviewed by: Giuseppe Tomassini
MaRDI profile type: Publication
cites work: Q3211457
cites work: On the discriminant variety of a projective manifold
cites work: Sulle varieta limiti delle trasformate omografiche di una varieta assegnata
cites work: Varieties with small dual varieties. I
cites work: Varieties with small dual varieties. II
cites work: VARIETIES WITH ISOMORPHIC OR BIRATIONAL HYPERPLANE SECTIONS
cites work: Some Basic Theorems on Algebraic Groups
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description: scientific article; zbMATH DE number 679551