This article is cited in 22 papers

Vector bundles of finite rank over infinite varieties

A. N. Tyurin


Abstract: This article contains a proof of the conjecture of Schwarzenberger that vector bundles on infinite-dimensional projective space $P_{\infty}$ split as the sum of line bundles, and a generalization to quasi-homogeneous projective varieties.
Bibliography: 7 titles.

UDC: 513.6

MSC: Primary 14F05; Secondary 14M10, 14N05

Received: 06.10.1975

 English version: Mathematics of the USSR-Izvestiya, 1976, 10:6, 1187–1204

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