Pseudo vector bundles and quasifibrations

Martin Guest; Michal KwiecińSki

doi:10.14492/hokmj/1350912962

Pseudo vector bundles and quasifibrations

Martin 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 Jan 1
Externally published	Yes

Keywords

Abel-Jacobi map
Linear space
Quasifibration
Symmetric algebra

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.14492/hokmj/1350912962

Fingerprint Dive into the research topics of 'Pseudo vector bundles and quasifibrations'. Together they form a unique fingerprint.

Cite this

@article{4f3d0a07aeea4a0092f67fb56692c7e8,

title = "Pseudo vector bundles and quasifibrations",

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.",

keywords = "Abel-Jacobi map, Linear space, Quasifibration, Symmetric algebra",

author = "Martin Guest and Michal Kwieci{\'n}Ski",

year = "2000",

month = jan,

day = "1",

doi = "10.14492/hokmj/1350912962",

language = "English",

volume = "29",

pages = "159--170",

journal = "Hokkaido Mathematical Journal",

issn = "0385-4035",

publisher = "Department of Mathematics, Hokkaido University",

number = "1",

}

TY - JOUR

T1 - Pseudo vector bundles and quasifibrations

AU - Guest, Martin

AU - KwiecińSki, Michal

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84928684295&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928684295&partnerID=8YFLogxK

U2 - 10.14492/hokmj/1350912962

DO - 10.14492/hokmj/1350912962

M3 - Article

AN - SCOPUS:84928684295

VL - 29

SP - 159

EP - 170

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

SN - 0385-4035

IS - 1

ER -