Hostname: page-component-84b7d79bbc-5lx2p Total loading time: 0 Render date: 2024-07-30T10:47:17.571Z Has data issue: false hasContentIssue false
  • English
  • Français

A Gauge Theoretic Proof of the Abel-Jacobi Theorem

Published online by Cambridge University Press:  20 November 2018

Gheorghe Ionesei
Gheorghe Ionesei*
Affiliation:
Seminarul Matematic Al.Myller University Al.I. Cuza, Iaşi 6600 Romania, e-mail: giones@uaic.ro
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We present a new, simple proof of the classical Abel-Jacobi theorem using some elementary gauge theoretic arguments.

Keywords

58D2730F99Abel-Jacobi theoremabelian gauge theory
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 2 , 01 June 2000 , pp. 183 - 192
Copyright
Copyright © Canadian Mathematical Society 2000

References

[1] Atiyah, M. F. and Bott, R., The Yang-Mills equations over Riemann surfaces. Philos. Trans. Roy. Soc. London Ser. A 308(1982), 523–615.Google Scholar
[2] Bost, J. B., Introduction to Compact Riemann Surfaces, Jacobians and Abelian Varieties. In: From Number Theory to Physics, Springer Verlag.Google Scholar
[3] Donaldson, S. K. and Kronheimer, P. B., The Geometry of Four-Manifolds. Oxford Science Publications, 1990.Google Scholar
[4] Griffiths, P. and Harris, J., Principles of Algebraic Geometry. John Wiley & Sons, 1978.Google Scholar
[5] Kobayashi, S., Differential Geometry of Complex Vector Bundles. Princeton University Press, 1987.Google Scholar
[6] Nicolaescu, L. I., Lectures on the Geometry of Manifolds. World Scientific, 1996.Google Scholar