Ample and spanned vector bundles of sectional genera three
type: Item
instance of: scholarly article
title: Ample and spanned vector bundles of sectional genera three
zbMATH Open document ID: 0723.14008
DOI: 10.1007/BF01445192
author: Aldo Biancofiore
author: Antonio Lanteri
author: Elvira Laura Livorni
published in: Mathematische Annalen
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164851
review text: Pairs (X,E) consisting of a complex projective manifold X of dimension \(\geq 2\) and of an ample vector bundle E of rank \(\geq 2\) on X are classified under the assumptions that E is spanned by its global sections and that either \(g(X,\det (E))=3\) or \(g(P,H)=3\), where \(P={\mathbb{P}}_ X(E)\) and H stands for the tautological line bundle of E.
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14C20
Mathematics Subject Classification ID: 14J10
zbMATH DE Number: 4191855
zbMATH Keywords: spanned vector bundles
zbMATH Keywords: sectional genus
MaRDI profile type: Publication
cites work: On the Adjunction Mapping for Singular Projective Varieties
cites work: Q3794317
cites work: Q3475368
cites work: Ample and spanned rank-2 vector bundles with \(c_ 2=2\) on complex surfaces
cites work: Algebraic surfaces containing an ample divisor of arithmetic genus two
cites work: The positivity of the Chern classes of an ample vector bundle
cites work: Fibrés uniformes de type (0, . . . , 0, - 1, . . ., -1) sur P2.
cites work: Les fibres uniformes de rang 3 sur \(\mathbb{P}_2(\mathbb{C})\) sont homogènes
cites work: On the structure of polarized manifolds with total deficiency one. I
cites work: Ample vector bundles of small \(c_ 1\)-sectional genera
cites work: On polarized manifolds of \(\Delta\) -genus two. I
cites work: Q3328651
cites work: Q4195061
cites work: Q4143433
cites work: Q3329577
cites work: Complex surfaces polarized by an ample and spanned line bundle of genus three
cites work: Adjunction properties of polarized surfaces via Reider's method.
cites work: A vector bundle characterization of \({\mathbb{P}}^ n\)
cites work: Q3338372
cites work: Q3348100
cites work: Triple Covers in Algebraic Geometry
cites work: Vector bundles on complex projective spaces
cites work: Embeddings in G(1,3)
cites work: Triple covers in positive characteristic
cites work: Varieties which have two projective space bundle structures
cites work: Vanishing theorems on complex manifolds
cites work: On the adjunction mapping
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description: scientific article; zbMATH DE number 4191855