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VECTOR BUNDLES OVER A NONDEGENERATE CONIC

Part of: Curves

Published online by Cambridge University Press:  01 April 2009

INDRANIL BISWAS  and
D. S. NAGARAJ
INDRANIL BISWAS*
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India (email: indranil@math.tifr.res.in)
D. S. NAGARAJ
Affiliation:
The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India (email: dsn@imsc.res.in)
*
✉For correspondence; e-mail: indranil@math.tifr.res.in
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Abstract

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Let k be a field and X a k-form of the projective line. We classify all the isomorphism classes of vector bundles over X.

Keywords

conicvector bundleHarder–Narasimhan filtration

MSC classification

Secondary: 14H60: Vector bundles on curves and their moduli
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 86 , Issue 2 , April 2009 , pp. 145 - 154
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

The second-named author would like to thank the CNRS for support.

References

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