"The cyclic homology and K-theory of curves" by S. Geller, Les Reid et al.
 

The cyclic homology and K-theory of curves

Abstract

It is now possible to calculate the K-theory of a large class of singular curves over fields of characteristic zero. Roughly speaking, the K-theory of a curve is the K-theory of its (smooth) normalization plus a few shifted copies of the K-theory of the field plus a “nil part.” The nil part is a vector space depending only on the analytic type of the singularities, and may be computed locally. We completely compute the nil part for seminormal curves and give a conjectural calculation in general which depends upon cyclic homology.

Document Type

Article

DOI

https://doi.org/10.1090/S0273-0979-1986-15474-1

Keywords

Algebraic K-theory, Cyclic homology, Singular curve

Publication Date

1-1-1986

Journal Title

Bulletin of the American Mathematical Society

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