Stable real algebraic vector bundles over a Klein bottle

Authors:
Usha N. Bhosle and Indranil Biswas

Journal:
Trans. Amer. Math. Soc. **360** (2008), 4569-4595

MSC (2000):
Primary 14H60; Secondary 14P99

Published electronically:
April 10, 2008

MathSciNet review:
2403697

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a geometrically connected smooth projective curve of genus one, defined over the field of real numbers, such that does not have any real points. We classify the isomorphism classes of all stable real algebraic vector bundles over .

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Additional Information

**Usha N. Bhosle**

Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

Email:
usha@math.tifr.res.in

**Indranil Biswas**

Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

Email:
indranil@math.tifr.res.in

DOI:
https://doi.org/10.1090/S0002-9947-08-04564-9

Keywords:
Stable bundle,
real algebraic curve,
Klein bottle

Received by editor(s):
February 26, 2006

Published electronically:
April 10, 2008

Article copyright:
© Copyright 2008
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.