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Study of Quadratic Forms — Some Connections with Geometry

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Proceedings of the International Congress of Mathematicians

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.

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Author information

Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay, 4000 05, India

    Raman Parimala

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  1. Raman Parimala
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Editors and Affiliations

  1. Département de Mathématiques, EPFL, 1015, Laussane, Switzerland

    S. D. Chatterji

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© 1995 Birkhäser Verlag, Basel, Switzerland

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Parimala, R. (1995). Study of Quadratic Forms — Some Connections with Geometry. In: Chatterji, S.D. (eds) Proceedings of the International Congress of Mathematicians. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9078-6_26

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  • DOI: https://doi.org/10.1007/978-3-0348-9078-6_26

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9897-3

  • Online ISBN: 978-3-0348-9078-6

  • eBook Packages: Springer Book Archive

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