Milgram, R. J.; Ranicki, A. A. The L-theory of Laurent extensions and genus 0 function fields. (English) Zbl 0692.13010 J. Reine Angew. Math. 406, 121-166 (1990). An exact sequence expresses the L-groups of the Laurent extension \(A[t,t^{-1}]\) of a ring with involution A in terms of the L-groups of A, where the involution \(a\to \bar a\) on A is extended by \(\bar t=ut^{- 1}\) for some unit u of A with \(\bar u=u\). The exact sequence is used to compute the Witt groups of quadratic forms in genus 0 function fields, over fields of characteristic \(\neq 2\). Reviewer: R.J.Milgram Cited in 2 Documents MSC: 13D15 Grothendieck groups, \(K\)-theory and commutative rings 13F25 Formal power series rings 11E16 General binary quadratic forms 18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) 11E12 Quadratic forms over global rings and fields Keywords:L-groups; Laurent extension; ring with involution; Witt groups of quadratic forms; genus 0 function fields PDFBibTeX XMLCite \textit{R. J. Milgram} and \textit{A. A. Ranicki}, J. Reine Angew. Math. 406, 121--166 (1990; Zbl 0692.13010) Full Text: DOI Crelle EuDML