Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V. Local-global principles for constant reductive groups over semi-global fields. (English) Zbl 1502.14059 Mich. Math. J. 72, 77-144 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 14G12 14D10 14G20 14F20 14L15 11G20 05C05 20G25 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} et al., Mich. Math. J. 72, 77--144 (2022; Zbl 1502.14059) Full Text: DOI arXiv Link
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, Raman; Suresh, Venapally Local-global principles for tori over arithmetic curves. (English) Zbl 1468.11097 Algebr. Geom. 7, No. 5, 607-633 (2020). Reviewer: Ming Ng (Birmingham) MSC: 11E72 12G05 14G05 14H25 20G15 14G27 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} et al., Algebr. Geom. 7, No. 5, 607--633 (2020; Zbl 1468.11097) Full Text: DOI arXiv
Colliot-Thélène, J.-L.; Harbater, D.; Hartmann, J.; Krashen, D.; Parimala, R.; Suresh, V. Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields. (English) Zbl 1440.14035 Trans. Am. Math. Soc. 372, No. 8, 5263-5286 (2019). Reviewer: Yongqi Liang (Hefei) MSC: 14C25 14G05 14H25 11E72 12G05 12F10 PDFBibTeX XMLCite \textit{J. L. Colliot-Thélène} et al., Trans. Am. Math. Soc. 372, No. 8, 5263--5286 (2019; Zbl 1440.14035) Full Text: DOI arXiv
Auel, Asher; Colliot-Thélène, Jean-Louis; Parimala, Raman Universal unramified cohomology of cubic fourfolds containing a plane. (English) Zbl 1426.14005 Auel, Asher (ed.) et al., Brauer groups and obstruction problems. Moduli spaces and arithmetic. Basel: Birkhäuser/Springer. Prog. Math. 320, 29-55 (2017). MSC: 14E08 11E20 11E88 14C25 14J35 PDFBibTeX XMLCite \textit{A. Auel} et al., Prog. Math. 320, 29--55 (2017; Zbl 1426.14005) Full Text: DOI arXiv
Colliot-Thélène, J.-L.; Parimala, R.; Suresh, V. Higher reciprocity laws and rational points. (Lois de réciprocité supérieures et points rationnels.) (French. English summary) Zbl 1360.11068 Trans. Am. Math. Soc. 368, No. 6, 4219-4255 (2016). Reviewer: Yong Hu (Caen Cedex) MSC: 11E72 14G05 14H25 PDFBibTeX XMLCite \textit{J. L. Colliot-Thélène} et al., Trans. Am. Math. Soc. 368, No. 6, 4219--4255 (2016; Zbl 1360.11068) Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Parimala, Raman; Suresh, Venapally Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves. (English) Zbl 1332.11065 Comment. Math. Helv. 87, No. 4, 1011-1033 (2012). MSC: 11G99 11E12 11E72 14G05 14G20 20G35 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} et al., Comment. Math. Helv. 87, No. 4, 1011--1033 (2012; Zbl 1332.11065) Full Text: DOI arXiv
Colliot-Thélène, J.-L.; Gille, P.; Parimala, R. Arithmetic of linear algebraic groups over 2-dimensional geometric fields. (English) Zbl 1129.11014 Duke Math. J. 121, No. 2, 285-341 (2004). Reviewer: Jean-Pierre E. Tignol (Louvain-La-Neuve) MSC: 11E76 14G35 20G35 20G15 14G25 PDFBibTeX XMLCite \textit{J. L. Colliot-Thélène} et al., Duke Math. J. 121, No. 2, 285--341 (2004; Zbl 1129.11014) Full Text: DOI
Colliot-Thélène, J.-L.; Ojanguren, M.; Parimala, R. Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes. (English) Zbl 1055.14019 Parimala, R. (ed.), Proceedings of the international colloquium on algebra, arithmetic and geometry, Mumbai, India, January 4–12, 2000. Part I and II. New Delhi: Narosa Publishing House, published for the Tata Institute of Fundamental Research, Bombay (ISBN 81-7319-476-9). Stud. Math., Tata Inst. Fundam. Res. 16, 185-217 (2002). Reviewer: Richard A. Mollin (Calgary) MSC: 14F22 11E99 PDFBibTeX XMLCite \textit{J. L. Colliot-Thélène} et al., in: Proceedings of the international colloquium on algebra, arithmetic and geometry, Mumbai, India, January 4--12, 2000. Part I and II. New Delhi: Narosa Publishing House, published for the Tata Institute of Fundamental Research, Bombay. 185--217 (2002; Zbl 1055.14019)
Colliot-Thélène, Jean-Louis; Gille, Philippe; Parimala, Raman Arithmetic of linear algebraic groups over certain fields of dimension two. (Arithmétique des groupes algébriques linéaires sur certains corps géométriques de dimension deux.) (French. Abridged English version) Zbl 1037.20050 C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 9, 827-832 (2001). MSC: 20G30 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 9, 827--832 (2001; Zbl 1037.20050) Full Text: DOI
Parimala, R.; Sujatha, R. [Colliot-Thélène, J.-L.] Hasse principle for Witt groups of function fields with special reference to elliptic curves. (Appendix by J.-L. Colliot-Thélène). (English) Zbl 0876.11018 Duke Math. J. 85, No. 3, 555-582 (1996). Reviewer: K.Szymiczek (Tychy) MSC: 11E81 14H05 11E04 14H52 PDFBibTeX XMLCite \textit{R. Parimala} and \textit{R. Sujatha}, Duke Math. J. 85, No. 3, 555--582 (1996; Zbl 0876.11018) Full Text: DOI
Parimala, R. [Colliot-Thélène, J. L.] Witt groups vis-à-vis Chow groups. (With an appendix by J. L. Colliot- Thélène). (English) Zbl 0836.14003 Ramanan, S. (ed.) et al., Proceedings of the Indo-French conference on geometry held in Bombay, India, 1989. Delhi: Hindustan Book Agency. 149-154; Appendix: 152-154 (1993). MSC: 14C05 11E81 PDFBibTeX XMLCite \textit{R. Parimala}, in: Proceedings of the Indo-French conference on geometry held in Bombay, India, 1989. Delhi: Hindustan Book Agency. 149--154; Appendix: 152--154 (1993; Zbl 0836.14003)
Colliot-Thélène, J.-L.; Parimala, R. Real components of algebraic varieties and étale cohomology. (English) Zbl 0726.14013 Invent. Math. 101, No. 1, 81-99 (1990). Reviewer: M.Coste (Rennes) MSC: 14F20 14P25 11E12 PDFBibTeX XMLCite \textit{J. L. Colliot-Thélène} and \textit{R. Parimala}, Invent. Math. 101, No. 1, 81--99 (1990; Zbl 0726.14013) Full Text: DOI EuDML
Colliot-Thélène, Jean-Louis; Parimala, Raman; Sridharan, Ramaiyengar Un théorème de pureté locale. (A local purity theorem). (French) Zbl 0706.14003 C. R. Acad. Sci., Paris, Sér. I 309, No. 14, 857-862 (1989). Reviewer: G.Molenbergh MSC: 14C35 14A20 14F22 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène} et al., C. R. Acad. Sci., Paris, Sér. I 309, No. 14, 857--862 (1989; Zbl 0706.14003)