The cyclic homology and K K -theory of curves Academic Article uri icon


  • 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. © 1986 American Mathematical Society.

author list (cited authors)

  • Geller, S., Reid, L., & Weibel, C.

publication date

  • January 1, 1986 11:11 AM