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Some formulas pertaining to the K-theory of commutative groupschemes. (English) Zbl 0432.14014


MSC:

14C35 Applications of methods of algebraic \(K\)-theory in algebraic geometry
14L15 Group schemes
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
13D15 Grothendieck groups, \(K\)-theory and commutative rings
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References:

[1] M. Artin and B. Mazur; M. Artin and B. Mazur · Zbl 0351.14023
[2] Bass, H., Algebraic \(K\)-Theory (1968), Benjamin: Benjamin New York · Zbl 0174.30302
[3] Bloch, S., On the tangent space to Quillen \(K\)-theory, (Algebraic \(K\)-Theory I. Algebraic \(K\)-Theory I, Lecture Notes in Math. No. 341 (1973), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0287.18016
[4] Bloch, S., \(K_2\) of artinian \(Q\)-algebras with application to algebraic cycles, Comm. in Algebra, 3, 405-428 (1975) · Zbl 0327.14002
[5] \( \textsc{S. Bloch}K\)Publications Mathematiques de l’I.H.E.S.; \( \textsc{S. Bloch}K\)Publications Mathematiques de l’I.H.E.S.
[6] Cartier, P., Groupes formels associés aux anneaux de Witt généralisés, C.R. Acad. Sci. Paris, 265, 50-52 (1967) · Zbl 0168.27501
[7] Cartier, P., Modules associés à un groupe formel commutatif, courbes typiques, C.R. Acad. Sci. Paris, 265, 129-132 (1967) · Zbl 0168.27502
[8] S. Gersten; S. Gersten · Zbl 0332.18013
[9] Quillen, D., Higher algebraic \(K\)-theory I, (Algebra \(K\)-Theory I. Algebra \(K\)-Theory I, Springer Lecture Notes in Math. No. 341 (1973), Springer-Verlag: Springer-Verlag New York) · Zbl 0292.18004
[10] Van der Kallen, W.; Maazen, H.; Stienstra, J., A presentation for some \(K_2(n,R)\), B.A.M.S. 81, No. 5 (1975) · Zbl 0337.13012
[11] Van der Kallen, W., Le \(K_2\) des nombres duaux, C.R. Acad. Sci. Paris, 273, 1204-1207 (1967) · Zbl 0225.13006
[12] \( \textsc{F. Waldhausen}K\); \( \textsc{F. Waldhausen}K\) · Zbl 0397.18012
[13] Quillen, D.; Grayson, D., Higher algebraic \(K\)-theory II, (Proceedings of Algebraic \(K\)-theory Conference at Northwestern University. Proceedings of Algebraic \(K\)-theory Conference at Northwestern University, Lecture Notes in Math. (1976), Springer-Verlag: Springer-Verlag Berlin/New York)
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