Vector bundles on algebraic curves
id:
vector-bundles-on-algebraic-curves-294-8240921
title:
Vector bundles on algebraic curves
text:
In mathematics, vector bundles on algebraic curves may be studied as holomorphic vector bundles on compact Riemann surfaces, which is the classical approach, or as locally free sheaves on algebraic curves C in a more general, algebraic setting. Some foundational results on classification were known in the 1950s. The result of Grothendieck (1957), that holomorphic vector bundles on the Riemann sphere are sums of line bundles, is now often called the Birkhoff–Grothendieck theorem, since it is impl
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Vector_bundles_on_algebraic_curves
date created:
date modified:
2021-10-01T17:55:19Z
main entity:
{"identifier":"Q7917819","url":"https://www.wikidata.org/entity/Q7917819"}
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13
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