Pseudo vector bundles and quasifibrations

Martin A. Guest; Michal KwiecińSki

doi:10.14492/hokmj/1350912962

Pseudo vector bundles and quasifibrations

Martin A. Guest, Michal KwiecińSki

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We prove a topological result concerning the kernel ker d of a morphism d: E⟶ F of holomorphic vector bundles over a complex analytic space. As a consequence, weshow that the projectivization P(ker d) is a quasifibration up to some dimension. We givean application to the Abel-Jacobi map of a Riemann surface, and to the space of rational curves in the symmetric product of a Riemann surface.

Original language	English
Pages (from-to)	159-170
Number of pages	12
Journal	Hokkaido Mathematical Journal
Volume	29
Issue number	1
DOIs	https://doi.org/10.14492/hokmj/1350912962
Publication status	Published - 2000
Externally published	Yes

Keywords

Abel-Jacobi map
Linear space
Quasifibration
Symmetric algebra

ASJC Scopus subject areas

Mathematics(all)

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AU - KwiecińSki, Michal

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AB - We prove a topological result concerning the kernel ker d of a morphism d: E⟶ F of holomorphic vector bundles over a complex analytic space. As a consequence, weshow that the projectivization P(ker d) is a quasifibration up to some dimension. We givean application to the Abel-Jacobi map of a Riemann surface, and to the space of rational curves in the symmetric product of a Riemann surface.

KW - Abel-Jacobi map

KW - Linear space

KW - Quasifibration

KW - Symmetric algebra

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DO - 10.14492/hokmj/1350912962

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JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

SN - 0385-4035

IS - 1

ER -

Pseudo vector bundles and quasifibrations

Abstract

Keywords

ASJC Scopus subject areas

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