Study of Quadratic Forms — Some Connections with Geometry

Raman Parimala
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Raman Parimala: Tata Institute of Fundamental Research, School of Mathematics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 324-332 from Springer

Abstract: Abstract Let X be an algebraic variety over a field k of characteristic not 2. A quadratic space on X is a locally free sheaf ε on X together with a self-dual isomorphism q : ε → εv. In this article we outline some recent developments concerning the stable and nonstable study of quadratic spaces over algebraic varieties. Although this study borrows tools from algebra and geometry, it yields in return new insights into certain seemingly unrelated questions in algebra and geometry.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_26

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DOI: 10.1007/978-3-0348-9078-6_26

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