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VECTOR BUNDLES AND ADJUNCTION

International Journal of Mathematics, 1992
Let \(X\) be a smooth projective variety over \(\mathbb{C}\) of dimension \(n\geq 4\) and \(E\) be an ample vector bundle on \(X\) of rank \(n-1\). The authors discuss the isomorphism classes of \((X,E)\) in terms of properties of the divisor \(K_ X+\text{det} E\).
Andreatta, Marco   +2 more
openaire   +3 more sources

CODEGREES OF VECTOR BUNDLES

The Quarterly Journal of Mathematics, 1994
The authors study the map \([X,S^n] \to \Hom (E(X)/ \text{Tors}, E(S^n)/\text{Tors}) \to E(S^n)/ \text{Tors} \approxeq \mathbb{Z}\) for which the first map is a Hurewicz map for a homology functor, \(E\), the second is evaluation at a fixed element and the final isomorphism is given.
Ōshima, Hideaki, Sasao, Seiya
openaire   +1 more source

Universal degeneracy classes for vector bundles on P1 bundles

Advances in Mathematics, 2021
Hannah K Larson
exaly  

Quotients of double vector bundles and multigraded bundles

Journal of Geometric Mechanics, 2022
Eckhard Meinrenken
exaly  

Vector Bundles and Differential Bundles in the Category of Smooth Manifolds

Applied Categorical Structures, 2021
Benjamin MACADAM
exaly  

On the Segre invariant for rank two vector bundles on ℙ2

Advances in Geometry, 2021
L Roa-Leguizamón, A G Zamora
exaly  

Calculus on Vector Bundles

Journal of the London Mathematical Society, 1975
openaire   +1 more source

Affine representability results in A1-homotopy theory, I: Vector bundles

Duke Mathematical Journal, 2017
Aravind Asok   +2 more
exaly  

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