Haran, Dan; Jarden, Moshe The absolute Galois group of a semi-local field. (English) Zbl 1490.12002 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-89190-9/hbk; 978-3-030-89191-6/ebook). xvi, 137 p. (2021). Reviewer: Angelot Behajaina (Paris) MSC: 12-02 12E30 12E25 12F10 PDF BibTeX XML Cite \textit{D. Haran} and \textit{M. Jarden}, The absolute Galois group of a semi-local field. Cham: Springer (2021; Zbl 1490.12002) Full Text: DOI
Dèbes, Pierre; Harbater, David Pre-Galois theory. (English) Zbl 1489.12017 Osaka J. Math. 58, No. 1, 71-101 (2021). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12F10 12F12 14H05 11G99 14H25 PDF BibTeX XML Cite \textit{P. Dèbes} and \textit{D. Harbater}, Osaka J. Math. 58, No. 1, 71--101 (2021; Zbl 1489.12017) Full Text: arXiv Euclid
Behajaina, Angelot Inverse Galois theory over fields of twisted rational fractions. (Théorie inverse de Galois sur les corps des fractions rationnelles tordus.) (French. English summary) Zbl 1473.12002 J. Pure Appl. Algebra 225, No. 4, Article ID 106549, 10 p. (2021). Reviewer: El Hassane Fliouet (Agadir) MSC: 12E15 12F12 PDF BibTeX XML Cite \textit{A. Behajaina}, J. Pure Appl. Algebra 225, No. 4, Article ID 106549, 10 p. (2021; Zbl 1473.12002) Full Text: DOI arXiv
Mazur, Barry; Rubin, Karl Big fields that are not large. (English) Zbl 1468.11218 Proc. Am. Math. Soc., Ser. B 7, 159-169 (2020). Reviewer: Mariana Coutinho (São Carlos) MSC: 11R04 11U05 14G05 PDF BibTeX XML Cite \textit{B. Mazur} and \textit{K. Rubin}, Proc. Am. Math. Soc., Ser. B 7, 159--169 (2020; Zbl 1468.11218) Full Text: DOI arXiv
Alon, Gil; Legrand, François; Paran, Elad Galois groups over rational function fields over skew fields. (English. French summary) Zbl 1477.12001 C. R., Math., Acad. Sci. Paris 358, No. 7, 785-790 (2020). Reviewer: El Hassane Fliouet (Agadir) MSC: 12F12 12E15 PDF BibTeX XML Cite \textit{G. Alon} et al., C. R., Math., Acad. Sci. Paris 358, No. 7, 785--790 (2020; Zbl 1477.12001) Full Text: DOI arXiv
Fried, S.; Haran, D. \(\Theta\)-Hilbertianity. (English) Zbl 1512.12002 J. Algebra 555, 36-51 (2020). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 12E25 12F12 20E18 PDF BibTeX XML Cite \textit{S. Fried} and \textit{D. Haran}, J. Algebra 555, 36--51 (2020; Zbl 1512.12002) Full Text: DOI
Pop, Florian Little survey on large fields – old & new. (English) Zbl 1341.12004 Campillo, Antonio (ed.) et al., Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18–29, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-149-1/hbk). EMS Series of Congress Reports, 432-463 (2014). Reviewer: Arno Fehm (Konstanz) MSC: 12E30 12F10 12G99 12L12 12J99 PDF BibTeX XML Cite \textit{F. Pop}, in: Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18--29, 2011. Zürich: European Mathematical Society (EMS). 432--463 (2014; Zbl 1341.12004)
Haran, Dan; Jarden, Moshe; Pop, Florian The absolute Galois group of subfields of the field of totally \(S\)-adic numbers. (English) Zbl 1318.12001 Funct. Approximatio, Comment. Math. 46, No. 2, 205-223 (2012). Reviewer: Sebastian Petersen (Kassel) MSC: 12E30 12E25 12F10 PDF BibTeX XML Cite \textit{D. Haran} et al., Funct. Approximatio, Comment. Math. 46, No. 2, 205--223 (2012; Zbl 1318.12001) Full Text: DOI Euclid
Azgin, Salih; Kuhlmann, Franz-Viktor; Pop, Florian Characterization of extremal valued fields. (English) Zbl 1271.12003 Proc. Am. Math. Soc. 140, No. 5, 1535-1547 (2012). Reviewer: Arno Fehm (Konstanz) MSC: 12J10 12E30 PDF BibTeX XML Cite \textit{S. Azgin} et al., Proc. Am. Math. Soc. 140, No. 5, 1535--1547 (2012; Zbl 1271.12003) Full Text: DOI arXiv
Kobayashi, Emi A remark on the Mordell-Weil rank of elliptic curves over the maximal abelian extension of the rational number field. (English) Zbl 1213.11119 Tokyo J. Math. 29, No. 2, 295-300 (2006). MSC: 11G05 11G40 11R20 12E30 PDF BibTeX XML Cite \textit{E. Kobayashi}, Tokyo J. Math. 29, No. 2, 295--300 (2006; Zbl 1213.11119) Full Text: DOI
Harbater, David; Stevenson, Katherine F. Local Galois theory in dimension two. (English) Zbl 1104.12003 Adv. Math. 198, No. 2, 623-653 (2005). Reviewer: Vasyl I. Andriychuk (Lviv) MSC: 12E30 12F10 14H30 11S20 12F12 14J20 20E18 PDF BibTeX XML Cite \textit{D. Harbater} and \textit{K. F. Stevenson}, Adv. Math. 198, No. 2, 623--653 (2005; Zbl 1104.12003) Full Text: DOI arXiv
Wingberg, Kay Free product decomposition of Galois groups of number fields. (English) Zbl 1082.11073 Publ. Res. Inst. Math. Sci. 41, No. 2, 295-306 (2005). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R32 11R34 20E18 PDF BibTeX XML Cite \textit{K. Wingberg}, Publ. Res. Inst. Math. Sci. 41, No. 2, 295--306 (2005; Zbl 1082.11073) Full Text: DOI
Dèbes, Pierre; Douai, Jean-Claude; Moret-Bailly, Laurent Descent varieties for algebraic covers. (English) Zbl 1077.14019 J. Reine Angew. Math. 574, 51-78 (2004). Reviewer: Amilcar Pacheco (Rio de Janeiro) MSC: 14E20 11R58 14A20 14H05 14H30 14G27 PDF BibTeX XML Cite \textit{P. Dèbes} et al., J. Reine Angew. Math. 574, 51--78 (2004; Zbl 1077.14019) Full Text: DOI Link
Moret-Bailly, Laurent Construction of coverings of pointed curves. (Construction de revêtements de courbes pointées.) (French) Zbl 1047.14013 J. Algebra 240, No. 2, 505-534 (2001). MSC: 14H30 14M17 14E20 14H20 PDF BibTeX XML Cite \textit{L. Moret-Bailly}, J. Algebra 240, No. 2, 505--534 (2001; Zbl 1047.14013) Full Text: DOI
Colliot-Thélène, Jean-Louis Rational connectedness and Galois covers of the projective line. (English) Zbl 0990.12003 Ann. Math. (2) 151, No. 1, 359-373 (2000). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 12F12 14H30 14M17 14M20 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène}, Ann. Math. (2) 151, No. 1, 359--373 (2000; Zbl 0990.12003) Full Text: DOI arXiv EuDML Link
Deschamps, Bruno Totally real closures of orderable number fields. (Clôtures totalement réelles des corps de nombres ordonnables.) (French) Zbl 0997.12003 Manuscr. Math. 100, No. 3, 291-304 (1999). MSC: 12F10 12D15 12J15 PDF BibTeX XML Cite \textit{B. Deschamps}, Manuscr. Math. 100, No. 3, 291--304 (1999; Zbl 0997.12003) Full Text: DOI
Haran, Dan; Jarden, Moshe Regular split embedding problems over complete valued fields. (English) Zbl 0903.12003 Forum Math. 10, No. 3, 329-351 (1998). Reviewer: Leonardo Cangelmi (Roma) MSC: 12F12 12J10 12E25 PDF BibTeX XML Cite \textit{D. Haran} and \textit{M. Jarden}, Forum Math. 10, No. 3, 329--351 (1998; Zbl 0903.12003) Full Text: DOI
Pop, Florian On prosolvable subgroups of profinite free products and some applications. (English) Zbl 0827.20038 Manuscr. Math. 86, No. 1, 125-135 (1995). Reviewer: H.Nakamura (Tokyo) MSC: 20E18 12F12 20E06 20E07 20J15 PDF BibTeX XML Cite \textit{F. Pop}, Manuscr. Math. 86, No. 1, 125--135 (1995; Zbl 0827.20038) Full Text: DOI EuDML