Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-10T19:18:35.294Z Has data issue: false hasContentIssue false
  • English
  • Français

STABILITY OF THE PICARD BUNDLE

Published online by Cambridge University Press:  24 March 2003

I. BISWAS ,
L. BRAMBILA-PAZ ,
T. L. GÓMEZ  and
P. E. NEWSTEAD
I. BISWAS
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, Indiaindranil@math.tifr.res.in
L. BRAMBILA-PAZ
Affiliation:
CIMAT, Apdo. Postal 402, C.P. 36240, Guanajuato, Méxicolebp@cimat.mx
T. L. GÓMEZ
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India tomas@math.tifr.res.in
P. E. NEWSTEAD
Affiliation:
Dept. of Mathematical Sciences, The University of Liverpool, Peach St., Liverpool L69 7ZL newstead@liv.ac.uk
Get access

Abstract

Let $X$ be a non-singular algebraic curve of genus $g\ge 2,\;n\ge 2$ an integer, $\xi$ a line bundle over $X$ of degree $d>2n(g-1)$ with $(n,d)=1$ and ${\cal M}_\xi$ the moduli space of stable bundles of rank $n$ and determinant $\xi$ over $X$ . It is proved that the Picard bundle ${\cal W}_\xi$ is stable with respect to the unique polarisation of ${\cal M}_\xi$ .

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 5 , September 2002 , pp. 561 - 568
Copyright
© The London Mathematical Society 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

All the authors are members of the research group VBAC (Vector Bundles on Algebraic Curves), which is partially supported by EAGER (EC FP5 Contract no. HPRN-CT-2000-00099) and by EDGE (EC FP5 Contract no. HPRN-CT-2000-00101). The second author acknowledges support from CONA-CYT grant no. 28492-E. The third author was supported by a postdoctoral fellowship of the Ministerio de Educación y Cultura (Spain).