# Applications of algebraic K-theory to algebraic geometry and number theory, Part 1

### About this Volume

Edited by: Spencer J. Bloch, R. Keith Dennis, Eric M. Friedlander and Michael R. Stein

Publication Year
1986: Volume: 55.1

ISBNs: 978-0-8218-5055-8 (print); 978-0-8218-7641-1 (online)

DOI: http://dx.doi.org/10.1090/conm/055.1

### Table of Contents

**Front/Back Matter**

**Articles**

- A. A. Beĭlinson – Higher regulators of modular curves
- A. A. Beĭlinson – Notes on absolute Hodge cohomology
- A. J. Berrick and M. E. Keating – The $K$-theory of triangular matrix rings
- S. Bloch – A note on Gerstenâ€™s conjecture in the mixed characteristic case
- S. Bloch and D. Grayson – $K_2$ and $L$-functions of elliptic curves: computer calculations
- Dan Burghelea – Cyclic homology and the algebraic $K$-theory of spaces. I
- Kevin R. Coombes – Local class field theory for curves
- W. G. Dwyer and E. M. Friedlander – Conjectural calculations of general linear group homology
- William G. Dwyer and Eric M. Friedlander – Some remarks on the $K$-theory of fields
- Henri Gillet – The $K$-theory of twisted complexes
- J. F. Jardine – Simplicial objects in a Grothendieck topos
- Kazuya Kato – Milnor $K$-theory and the Chow group of zero cycles
- Kazuya Kato and Shuji Saito – Global class field theory of arithmetic schemes
- Aderemi O. Kuku – $K_n,\;SK_n$ of integral group-rings and orders
- Claudio Pedrini and Charles A. Weibel – $K$-theory and Chow groups on singular varieties
- Dinakar Ramakrishnan – Analogs of the Bloch-Wigner function for higher polylogarithms
- Dinakar Ramakrishnan – Higher regulators on quaternionic Shimura curves and values of $L$-functions
- R. W. Thomason – Bott stability in algebraic $K$-theory