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arXiv · 1503.05573

Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians

Svetlana Ermakova
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Abstract

In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem. We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.

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Svetlana Ermakova. 2015-03-18. Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians. https://arxiv.org/abs/1503.05573

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