$SK_{1}$ of $n$ lines in the plane
HTML articles powered by AMS MathViewer
- by Leslie G. Roberts PDF
- Trans. Amer. Math. Soc. 222 (1976), 353-365 Request permission
Abstract:
We calculate $S{K_1}(A)$ where A is the coordinate ring of the reduced affine variety consisting of n straight lines in the plane.References
- Sergio Antoy, Sul calcolo del gruppo di Picard di certe estensioni intere semplici, Ann. Univ. Ferrara Sez. VII (N.S.) 18 (1973), 155โ167 (Italian, with English summary). MR 332757 R. K. Dennis and M. Krusemeyer, ${K_2}$ of $k[X,Y]/XY$, a problem of Swan, and related computations (to appear).
- R. Keith Dennis and Michael R. Stein, The functor $K_{2}$: a survey of computations and problems, Algebraic $K$-theory, II: โClassicalโ algebraic $K$-theory and connections with arithmetic (Proc. Conf., Seattle Res. Center, Battelle Memorial Inst., 1972) Lecture Notes in Math., Vol. 342, Springer, Berlin, 1973, pp.ย 243โ280. MR 0354815
- Jimmie Graham, Continuous symbols on fields of formal power series, Algebraic $K$-theory, II: โClassicalโ algebraic $K$-theory and connections with arithmetic (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 342, Springer, Berlin, 1973, pp.ย 474โ486. MR 0364187
- John Labute and Peter Russell, On $K_{2}$ of truncated polynomial rings, J. Pure Appl. Algebra 6 (1975), no.ย 3, 239โ251. MR 396595, DOI 10.1016/0022-4049(75)90019-5
- John Milnor, Introduction to algebraic $K$-theory, Annals of Mathematics Studies, No. 72, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1971. MR 0349811
- Ferruccio Orecchia, Sui gruppi di Picard di certe algebre finite non integre, Ann. Univ. Ferrara Sez. VII (N.S.) 21 (1975), 25โ36. MR 404258
- Leslie G. Roberts, Higher derivations and the Jordan canonical form of the companion matrix, Canad. Math. Bull. 15 (1972), 143โ144. MR 316474, DOI 10.4153/CMB-1972-027-6
- Leslie G. Roberts, The $K$-theory of some reducible affine varieties, J. Algebra 35 (1975), 516โ527. MR 404259, DOI 10.1016/0021-8693(75)90063-0
- Wilberd van der Kallen, Hendrik Maazen, and Jan Stienstra, A presentation for some $K_{2}(n,R)$, Bull. Amer. Math. Soc. 81 (1975), no.ย 5, 934โ936. MR 376818, DOI 10.1090/S0002-9904-1975-13894-8
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 222 (1976), 353-365
- MSC: Primary 14F15; Secondary 14C20
- DOI: https://doi.org/10.1090/S0002-9947-1976-0422278-1
- MathSciNet review: 0422278