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

Flare Tame 

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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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