Rost, Markus On quadratic forms isotropic over the function field of a conic. (English) Zbl 0698.12009 Math. Ann. 288, No. 3, 511-513 (1990). This note contains a short proof of the fact that the function field of a curve of genus 0 is excellent in the sense of quadratic form theory. Reviewer: M.Rost Cited in 14 Documents MSC: 11R58 Arithmetic theory of algebraic function fields 11E12 Quadratic forms over global rings and fields 14H05 Algebraic functions and function fields in algebraic geometry Keywords:excellent function field; curve of genus 0; quadratic forms over function fields PDFBibTeX XMLCite \textit{M. Rost}, Math. Ann. 288, No. 3, 511--513 (1990; Zbl 0698.12009) Full Text: DOI EuDML References: [1] Arason, J.Kr.: Cohomologische Invarianten quadratischer Formen. J. Algebra36, 448-491 (1975) · Zbl 0314.12104 · doi:10.1016/0021-8693(75)90145-3 [2] Elman, R., Lam, T.Y., Wadsworth, A.R.: Amenable fields and Pfister extensions. Conference on quadratic forms 1976. Queen’s pap. Pure Appl. Math.46, 445-491 (1977) [3] Lam, T.Y.: Fields ofu-invariant 6 after A. Merkuriev. In: ?Ring theory 1989? in honour of S. A. Amitsur. Isr. Conf. Proc., vol. 1, pp. 12-30 [4] Scharlau, W.: Quadratic and hermitian forms. Berlin Heidelberg New York: Springer (1985) · Zbl 0584.10010 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.