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Localisation for Singular Varieties

  • V. Srinivas
Part of the Progress in Mathematics book series (PM, volume 90)

Abstract

In this chapter we prove a localisation theorem of Quillen for singular varieties, and a generalisation of it due to Levine. These are then used to prove the so called “fundamental theorem” (9.8) which computes Ki(A[t, t−1]), and to relate the study of 0-cycles on normal surfaces to modules of finite length and finite projective dimension over the local rings at singular points. We begin with Quillen’s localisation theorem, proved in “Higher Algebraic K-theory II”.

Keywords

Exact Sequence Vector Bundle Local Ring Natural Transformation Full Subcategory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • V. Srinivas
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchBombayIndia

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