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VECTOR BUNDLES ON CURVES ADMITTING A CONNECTION | OUP Journals & Magazine | IEEE Xplore

VECTOR BUNDLES ON CURVES ADMITTING A CONNECTION

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Abstract:

Let k be any infinite perfect field. Let E be a vector bundle over a smooth projective curve defined over k. We prove that E admits a connection if the degree of every in...Show More

Abstract:

Let k be any infinite perfect field. Let E be a vector bundle over a smooth projective curve defined over k. We prove that E admits a connection if the degree of every indecomposable component of E is zero. This has been proved (when k = ℂ) in M. F. Atiyah [2] and A. Weil [7].
Published in: Quarterly Journal of Mathematics ( Volume: 57, Issue: 2, June 2006)
Page(s): 143 - 150
Date of Publication: June 2006

ISSN Information:


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