Pseudo vector bundles and quasifibrations

Martin Guest, Michal KwiecińSki

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)159-170
Number of pages12
JournalHokkaido Mathematical Journal
Volume29
Issue number1
DOIs
Publication statusPublished - 2000 Jan 1
Externally publishedYes

Fingerprint

Vector Bundle
Riemann Surface
Symmetric Product
Rational Curves
Morphism
Jacobi
kernel

Keywords

  • Abel-Jacobi map
  • Linear space
  • Quasifibration
  • Symmetric algebra

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Pseudo vector bundles and quasifibrations. / Guest, Martin; KwiecińSki, Michal.

In: Hokkaido Mathematical Journal, Vol. 29, No. 1, 01.01.2000, p. 159-170.

Research output: Contribution to journalArticle

Guest, Martin ; KwiecińSki, Michal. / Pseudo vector bundles and quasifibrations. In: Hokkaido Mathematical Journal. 2000 ; Vol. 29, No. 1. pp. 159-170.
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