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 MoreMetadata
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)
DOI: 10.1093/qmath/hai011