Anscombe, Sylvy; Jahnke, Franziska Characterizing NIP Henselian fields. (English) Zbl 07825006 J. Lond. Math. Soc., II. Ser. 109, No. 3, Article ID e12868, 28 p. (2024). MSC: 03C45 03C60 12J10 PDFBibTeX XMLCite \textit{S. Anscombe} and \textit{F. Jahnke}, J. Lond. Math. Soc., II. Ser. 109, No. 3, Article ID e12868, 28 p. (2024; Zbl 07825006) Full Text: DOI arXiv
Touchard, Pierre Burden in Henselian valued fields. (English) Zbl 07741121 Ann. Pure Appl. Logic 174, No. 10, Article ID 103318, 61 p. (2023). MSC: 03C45 03C60 12J10 PDFBibTeX XMLCite \textit{P. Touchard}, Ann. Pure Appl. Logic 174, No. 10, Article ID 103318, 61 p. (2023; Zbl 07741121) Full Text: DOI arXiv
Vicaría, Mariana Elimination of imaginaries in \(\mathbb{C}((\Gamma))\). (English) Zbl 1521.12011 J. Lond. Math. Soc., II. Ser. 108, No. 2, 482-544 (2023). MSC: 12L12 03C60 PDFBibTeX XMLCite \textit{M. Vicaría}, J. Lond. Math. Soc., II. Ser. 108, No. 2, 482--544 (2023; Zbl 1521.12011) Full Text: DOI arXiv
Prasad, Devendra Irreducibility of integer-valued polynomials in several variables. (English) Zbl 07672181 Period. Math. Hung. 86, No. 1, 152-159 (2023). Reviewer: István Gaál (Debrecen) MSC: 12D05 PDFBibTeX XMLCite \textit{D. Prasad}, Period. Math. Hung. 86, No. 1, 152--159 (2023; Zbl 07672181) Full Text: DOI arXiv
Jaoui, Rémi; Jimenez, Léo; Pillay, Anand Relative internality and definable fibrations. (English) Zbl 07654560 Adv. Math. 415, Article ID 108870, 38 p. (2023). MSC: 03Cxx 12Hxx 32Jxx PDFBibTeX XMLCite \textit{R. Jaoui} et al., Adv. Math. 415, Article ID 108870, 38 p. (2023; Zbl 07654560) Full Text: DOI arXiv
Sinclair, Peter Burden of Henselian valued fields in the Denef-Pas language. (English) Zbl 1525.03097 Notre Dame J. Formal Logic 63, No. 4, 463-480 (2022). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 03C60 03C45 12J10 12J25 12L12 PDFBibTeX XMLCite \textit{P. Sinclair}, Notre Dame J. Formal Logic 63, No. 4, 463--480 (2022; Zbl 1525.03097) Full Text: DOI arXiv Link
Cubides Kovacsics, Pablo; Edmundo, Mário J.; Ye, Jinhe Cohomology of algebraic varieties over non-Archimedean fields. (English) Zbl 1512.14015 Forum Math. Sigma 10, Paper No. e94, 72 p. (2022). Reviewer: Keyvan Yaghmayi (Salt Lake City) MSC: 14G22 55N30 12J25 03C98 03C64 14T99 PDFBibTeX XMLCite \textit{P. Cubides Kovacsics} et al., Forum Math. Sigma 10, Paper No. e94, 72 p. (2022; Zbl 1512.14015) Full Text: DOI arXiv
Johnson, Will Forking and dividing in fields with several orderings and valuations. (English) Zbl 1506.03086 J. Math. Log. 22, No. 1, Article ID 2150025, 43 p. (2022). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 03C60 03C45 12L12 12J10 12J15 PDFBibTeX XMLCite \textit{W. Johnson}, J. Math. Log. 22, No. 1, Article ID 2150025, 43 p. (2022; Zbl 1506.03086) Full Text: DOI arXiv
Aschenbrenner, Matthias; Chernikov, Artem; Gehret, Allen; Ziegler, Martin Distality in valued fields and related structures. (English) Zbl 1498.03073 Trans. Am. Math. Soc. 375, No. 7, 4641-4710 (2022). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 03C45 03C60 12L12 12J10 03C64 03C10 06F20 PDFBibTeX XMLCite \textit{M. Aschenbrenner} et al., Trans. Am. Math. Soc. 375, No. 7, 4641--4710 (2022; Zbl 1498.03073) Full Text: DOI arXiv
Halevi, Yatir; Hasson, Assaf; Peterzil, Ya’acov Interpretable fields in various valued fields. (English) Zbl 1505.03084 Adv. Math. 404, Part A, Article ID 108408, 58 p. (2022). Reviewer: Piotr Kowalski (Wroclaw) MSC: 03C64 03C60 12L12 03C45 12J10 PDFBibTeX XMLCite \textit{Y. Halevi} et al., Adv. Math. 404, Part A, Article ID 108408, 58 p. (2022; Zbl 1505.03084) Full Text: DOI arXiv
Jaoui, Rémi Generic planar algebraic vector fields are strongly minimal and disintegrated. (English) Zbl 1500.03013 Algebra Number Theory 15, No. 10, 2449-2483 (2021). Reviewer: Amador Martin-Pizarro (Freiburg) MSC: 03C60 12H05 37F75 14J70 PDFBibTeX XMLCite \textit{R. Jaoui}, Algebra Number Theory 15, No. 10, 2449--2483 (2021; Zbl 1500.03013) Full Text: DOI arXiv
Bourqui, David; Haiech, Mercedes On the nilpotent functions at a non-degenerate arc. (English) Zbl 1458.14020 Manuscr. Math. 165, No. 1-2, 227-238 (2021). MSC: 14E18 16N40 14B05 14B20 12H05 14M25 13N15 13A15 13B35 PDFBibTeX XMLCite \textit{D. Bourqui} and \textit{M. Haiech}, Manuscr. Math. 165, No. 1--2, 227--238 (2021; Zbl 1458.14020) Full Text: DOI
Baro, Elías; Martin-Pizarro, Amador Open core and small groups in dense pairs of topological structures. (English) Zbl 1473.03019 Ann. Pure Appl. Logic 172, No. 1, Article ID 102858, 26 p. (2021). Reviewer: Immanuel Halupczok (Leeds) MSC: 03C64 03C45 22A99 13J30 12J99 03C60 PDFBibTeX XMLCite \textit{E. Baro} and \textit{A. Martin-Pizarro}, Ann. Pure Appl. Logic 172, No. 1, Article ID 102858, 26 p. (2021; Zbl 1473.03019) Full Text: DOI arXiv
Martin-Pizarro, Amador; Ziegler, Martin Equational theories of fields. (English) Zbl 1472.03031 J. Symb. Log. 85, No. 2, 828-851 (2020). Reviewer: Vahagn Aslanyan (Pittsburgh) MSC: 03C45 12H05 03C60 12L12 PDFBibTeX XMLCite \textit{A. Martin-Pizarro} and \textit{M. Ziegler}, J. Symb. Log. 85, No. 2, 828--851 (2020; Zbl 1472.03031) Full Text: DOI arXiv
André, Yves Erratum to: “Slope filtrations”. (English) Zbl 1472.14022 Confluentes Math. 12, No. 1, 147-148 (2020). MSC: 14F30 11G25 12H25 14G22 PDFBibTeX XMLCite \textit{Y. André}, Confluentes Math. 12, No. 1, 147--148 (2020; Zbl 1472.14022) Full Text: DOI
Nowak, Krzysztof Jan A closedness theorem and applications in geometry of rational points over Henselian valued fields. (English) Zbl 1505.12003 J. Singul. 21, 212-233 (2020). MSC: 12J25 03C10 13J15 14A15 14B05 14G27 14P10 PDFBibTeX XMLCite \textit{K. J. Nowak}, J. Singul. 21, 212--233 (2020; Zbl 1505.12003) Full Text: DOI arXiv
Blossier, Thomas; Martin-Pizarro, Amador A simple criterion. (Un critère simple.) (French. English summary) Zbl 1472.03034 Notre Dame J. Formal Logic 60, No. 4, 639-663 (2019). MSC: 03C60 03C45 12H05 12H10 PDFBibTeX XMLCite \textit{T. Blossier} and \textit{A. Martin-Pizarro}, Notre Dame J. Formal Logic 60, No. 4, 639--663 (2019; Zbl 1472.03034) Full Text: DOI arXiv Euclid
Halevi, Yatir; Hasson, Assaf Strongly dependent ordered abelian groups and Henselian fields. (English) Zbl 1454.03043 Isr. J. Math. 232, No. 2, 719-758 (2019). Reviewer: Allen Gehret (Los Angeles) MSC: 03C60 12J10 06F20 12L12 03C45 PDFBibTeX XMLCite \textit{Y. Halevi} and \textit{A. Hasson}, Isr. J. Math. 232, No. 2, 719--758 (2019; Zbl 1454.03043) Full Text: DOI arXiv
Jaoui, Rémi Differential fields and geodesic flows. II: Geodesic flows of pseudo-Riemannian algebraic varieties. (English) Zbl 1417.53046 Isr. J. Math. 230, No. 2, 527-561 (2019). MSC: 53C22 53D25 12H05 PDFBibTeX XMLCite \textit{R. Jaoui}, Isr. J. Math. 230, No. 2, 527--561 (2019; Zbl 1417.53046) Full Text: DOI arXiv
Jin, Ruizhang Constructing types in differentially closed fields that are analysable in the constants. (English) Zbl 1522.03114 J. Symb. Log. 83, No. 4, 1413-1433 (2018). MSC: 03C45 03C60 12H05 PDFBibTeX XMLCite \textit{R. Jin}, J. Symb. Log. 83, No. 4, 1413--1433 (2018; Zbl 1522.03114) Full Text: DOI arXiv
Bachoc, Christine; Serra, Oriol; Zémor, Gilles Revisiting Kneser’s theorem for field extensions. (English) Zbl 1413.11115 Combinatorica 38, No. 4, 759-777 (2018). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11T99 12F99 PDFBibTeX XMLCite \textit{C. Bachoc} et al., Combinatorica 38, No. 4, 759--777 (2018; Zbl 1413.11115) Full Text: DOI arXiv
Jahnke, Franziska; Simon, Pierre; Walsberg, Erik Dp-minimal valued fields. (English) Zbl 1385.03040 J. Symb. Log. 82, No. 1, 151-165 (2017). Reviewer: Peter Sinclair (Hamilton) MSC: 03C60 03C45 03C64 12J12 12J10 12J15 12L12 PDFBibTeX XMLCite \textit{F. Jahnke} et al., J. Symb. Log. 82, No. 1, 151--165 (2017; Zbl 1385.03040) Full Text: DOI arXiv
Sustretov, Dmitry Generalised imaginaries and Galois cohomology. (English) Zbl 1390.03035 J. Symb. Log. 81, No. 3, 917-935 (2016). Reviewer: Immanuel Halupczok (Leeds) MSC: 03C60 03C65 14A22 81R50 12L12 18B40 18G50 PDFBibTeX XMLCite \textit{D. Sustretov}, J. Symb. Log. 81, No. 3, 917--935 (2016; Zbl 1390.03035) Full Text: DOI arXiv
Kedlaya, Kiran S. Local and global structure of connections on nonarchimedean curves. (English) Zbl 1379.12007 Compos. Math. 151, No. 6, 1096-1156 (2015); corrigendum ibid. 153, No. 12, 2658-2665 (2017). MSC: 12H25 14G22 PDFBibTeX XMLCite \textit{K. S. Kedlaya}, Compos. Math. 151, No. 6, 1096--1156 (2015; Zbl 1379.12007) Full Text: DOI arXiv
Halupczok, Immanuel; Jahnke, Franziska A definable Henselian valuation with high quantifier complexity. (English) Zbl 1372.03076 Math. Log. Q. 61, No. 4-5, 362-366 (2015). MSC: 03C60 12L12 12J10 03C40 PDFBibTeX XMLCite \textit{I. Halupczok} and \textit{F. Jahnke}, Math. Log. Q. 61, No. 4--5, 362--366 (2015; Zbl 1372.03076) Full Text: DOI arXiv Link
Poineau, Jérôme; Pulita, Andrea The convergence Newton polygon of a \(p\)-adic differential equation. II: Continuity and finiteness on Berkovich curves. (English) Zbl 1332.12012 Acta Math. 214, No. 2, 357-393 (2015). MSC: 12H25 12J25 PDFBibTeX XMLCite \textit{J. Poineau} and \textit{A. Pulita}, Acta Math. 214, No. 2, 357--393 (2015; Zbl 1332.12012) Full Text: DOI arXiv
Lê, François “Geometrical equations”: forgotten premises of Felix Klein’s Erlanger Programm. (English) Zbl 1325.01015 Hist. Math. 42, No. 3, 315-342 (2015). Reviewer: Jeremy Gray (London) MSC: 01A55 51-03 14-03 12-03 PDFBibTeX XMLCite \textit{F. Lê}, Hist. Math. 42, No. 3, 315--342 (2015; Zbl 1325.01015) Full Text: DOI
Fehm, Arno; Prestel, Alexander Uniform definability of henselian valuation rings in the Macintyre language. (English) Zbl 1366.12004 Bull. Lond. Math. Soc. 47, No. 4, 693-703 (2015). Reviewer: Gerard Leloup (Le Mans) MSC: 12L12 12J12 PDFBibTeX XMLCite \textit{A. Fehm} and \textit{A. Prestel}, Bull. Lond. Math. Soc. 47, No. 4, 693--703 (2015; Zbl 1366.12004) Full Text: DOI arXiv
Ducros, Antoine Erratum to: “Berkovich spaces, polytopes, skeleton, and model theory”. (Espaces de Berkovich, polytopes, squelettes et théorie des modèles: erratum.) (French) Zbl 1315.14034 Confluentes Math. 5, No. 2, 43-44 (2013). MSC: 14G22 12J25 03C98 PDFBibTeX XMLCite \textit{A. Ducros}, Confluentes Math. 5, No. 2, 43--44 (2013; Zbl 1315.14034) Full Text: DOI
Milliet, Cédric Fields with few types. (English) Zbl 1309.03015 J. Symb. Log. 78, No. 1, 72-84 (2013). MSC: 03C45 03C60 12L12 PDFBibTeX XMLCite \textit{C. Milliet}, J. Symb. Log. 78, No. 1, 72--84 (2013; Zbl 1309.03015) Full Text: DOI arXiv Euclid Link
Delon, Françoise \(C\)-minimal fields, in honor of François Lucas. (Corps \(C\)-minimaux, en l’honneur de François Lucas.) (French. English summary) Zbl 1283.12001 Ann. Fac. Sci. Toulouse, Math. (6) 21, No. 2, 413-434 (2012). MSC: 12L12 03C64 PDFBibTeX XMLCite \textit{F. Delon}, Ann. Fac. Sci. Toulouse, Math. (6) 21, No. 2, 413--434 (2012; Zbl 1283.12001) Full Text: DOI
Kedlaya, Kiran S.; Xiao, Liang Differential modules on \(p\)-adic polyannuli. (English) Zbl 1195.12008 J. Inst. Math. Jussieu 9, No. 1, 155-201 (2010); erratum ibid. 9, No. 3, 669-671 (2010). Reviewer: Jérôme Poineau (Strasbourg) MSC: 12H25 14G22 13N05 PDFBibTeX XMLCite \textit{K. S. Kedlaya} and \textit{L. Xiao}, J. Inst. Math. Jussieu 9, No. 1, 155--201 (2010; Zbl 1195.12008) Full Text: DOI
Kowalski, Piotr; Pillay, Anand Quantifier elimination for algebraic \(D\)-groups. (English) Zbl 1075.03014 Trans. Am. Math. Soc. 358, No. 1, 167-181 (2006). MSC: 03C10 03C60 12H05 12L12 PDFBibTeX XMLCite \textit{P. Kowalski} and \textit{A. Pillay}, Trans. Am. Math. Soc. 358, No. 1, 167--181 (2006; Zbl 1075.03014) Full Text: DOI