van der Hoeven, Joris; Lecerf, Grégoire Plane curve germs and contact factorization. (English) Zbl 07977728 Appl. Algebra Eng. Commun. Comput. 36, No. 1, 5-106 (2025). MSC: 14-XX 13-XX × Cite Format Result Cite Review PDF Full Text: DOI
Dobrowolski, Jan; Mennuni, Rosario The amalgamation property for automorphisms of ordered abelian groups. (English) Zbl 07962848 Trans. Am. Math. Soc. 377, No. 10, 7037-7079 (2024). MSC: 06F20 03C60 03C45 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anscombe, Sylvy; Dittmann, Philip; Jahnke, Franziska Ax-Kochen-Ershov principles for finitely ramified Henselian fields. (English) Zbl 07937465 Trans. Am. Math. Soc. 377, No. 12, 8963-8988 (2024). MSC: 03C60 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris Filling gaps in Hardy fields. (English) Zbl 07935749 J. Reine Angew. Math. 815, 107-172 (2024). MSC: 81-XX 42-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bagayoko, Vincent; van der Hoeven, Joris Surreal substructures. (English) Zbl 07922317 Fundam. Math. 266, No. 1, 25-96 (2024). MSC: 03C64 03E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costin, Ovidiu; Ehrlich, Philip Integration on the surreals. (English) Zbl 07916610 Adv. Math. 452, Article ID 109823, 68 p. (2024). MSC: 03H05 12J15 34E05 03E15 03E25 03E35 03E75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aschenbrenner, Matthias; Srhir, Ahmed Analytic nullstellensätze and the model theory of valued fields. (English) Zbl 07914833 Math. Nachr. 297, No. 8, 2873-2917 (2024). MSC: 03C60 12J10 12L12 13J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramis, Jean-Pierre Epilogue: Stokes phenomena. Dynamics, classification problems and avatars. (English) Zbl 07913005 Cano, Felipe (ed.) et al., Handbook of geometry and topology of singularities VI: foliations. Cham: Springer. 383-482 (2024). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34-02 34M40 34M35 34M60 × Cite Format Result Cite Review PDF Full Text: DOI
Bhardwaj, Neer; van Den Dries, Lou Analytic Ax-Kochen-Ersov theory with lifts of the residue field and value group. (English) Zbl 07889236 Trans. Am. Math. Soc., Ser. B 11, 1015-1064 (2024). MSC: 03C10 32B05 03C60 12J25 13J15 13L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaplan, Elliot; Kesting, Christoph A dichotomy for \(T\)-convex fields with a monomial group. (English) Zbl 07871037 Math. Log. Q. 70, No. 1, 99-110 (2024). MSC: 03-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Raab, Clemens G.; Regensburger, Georg The fundamental theorem of calculus in differential rings. (English) Zbl 1548.12007 Adv. Math. 447, Article ID 109676, 51 p. (2024). MSC: 12H05 16S15 16S32 34A30 47E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hils, Martin; Mennuni, Rosario The domination monoid in Henselian valued fields. (English) Zbl 07842507 Pac. J. Math. 328, No. 2, 287-323 (2024). MSC: 03C45 03C60 03C64 12J10 12L12 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dittmann, Philip; Jahnke, Franziska; Krapp, Lothar Sebastian; Kuhlmann, Salma Definable valuations on ordered fields. (English) Zbl 1532.13002 Model Theory 2, No. 1, 101-120 (2023). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 13A18 03C64 12J20 12L12 13F25 13J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rzepka, Anna; Szewczyk, Piotr Defect extensions and a characterization of tame fields. (English) Zbl 1526.12004 J. Algebra 630, 68-91 (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 12J10 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chernikov, Artem; Mennen, Alex Combinatorial properties of nonarchimedean convex sets. (English) Zbl 1527.52004 Pac. J. Math. 323, No. 1, 1-30 (2023). Reviewer: Mircea Balaj (Oradea) MSC: 52A35 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Yuanchang; Liu, Xuguang; Bai, Chengming Differential antisymmetric infinitesimal bialgebras, coherent derivations and Poisson bialgebras. (English) Zbl 1514.16028 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 018, 47 p. (2023). MSC: 16T10 16T25 17A30 17B62 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaplan, Elliot Liouville closed \(H_T\)-fields. (English) Zbl 1525.03098 J. Algebra 628, 265-327 (2023). Reviewer: Piotr Kowalski (Wroclaw) MSC: 03C64 12H05 12J10 03C60 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cubides Kovacsics, Pablo; Point, Françoise Topological fields with a generic derivation. (English) Zbl 1511.12003 Ann. Pure Appl. Logic 174, No. 3, Article ID 103211, 38 p. (2023). Reviewer: Luc Bélair (Montréal) MSC: 12L12 12J25 12H05 13N15 03C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaplan, Elliot \(T\)-convex \(T\)-differential fields and their immediate extensions. (English) Zbl 07655337 Pac. J. Math. 320, No. 2, 261-298 (2022). MSC: 03C64 12H05 12J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris On a differential intermediate value property. (English) Zbl 07625321 Rev. Unión Mat. Argent. 64, No. 1, 1-10 (2022). MSC: 03C64 12H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhardwaj, Neer; van den Dries, Lou On the Pila-Wilkie theorem. (English) Zbl 1515.03173 Expo. Math. 40, No. 3, 495-542 (2022). Reviewer: Piotr Kowalski (Wroclaw) MSC: 03C64 11G99 11U09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris Revisiting closed asymptotic couples. (English) Zbl 07556006 Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 530-555 (2022). MSC: 03C64 03C10 06F20 12J15 12H05 12J25 12L12 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berarducci, Alessandro; Mamino, Marcello Asymptotic analysis of Skolem’s exponential functions. (English) Zbl 07541921 J. Symb. Log. 87, No. 2, 758-782 (2022). MSC: 03C64 03E10 12J15 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dolich, Alfred; Goodrick, John Tame topology over definable uniform structures. (English) Zbl 1495.03055 Notre Dame J. Formal Logic 63, No. 1, 51-79 (2022). Reviewer: Immanuel Halupczok (Leeds) MSC: 03C45 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Falkensteiner, Sebastian; Zhang, Yi; Vo, Thieu N. On existence and uniqueness of formal power series solutions of algebraic ordinary differential equations. (English) Zbl 1492.34015 Mediterr. J. Math. 19, No. 2, Paper No. 74, 16 p. (2022). MSC: 34A25 34A09 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Popescu, Dorin [Česnavičius, Kęstutis] Néron desingularization of extensions of valuation rings (with an appendix by Kęstutis Česnavičius). (English) Zbl 07615269 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 275-307 (2021). MSC: 13F30 13B02 03C20 14B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ehrlich, Philip; Kaplan, Elliot Surreal ordered exponential fields. (English) Zbl 1495.03057 J. Symb. Log. 86, No. 3, 1066-1115 (2021); erratum ibid. 87, No. 2, 871 (2022). Reviewer: Lothar Sebastian Krapp (Konstanz) MSC: 03C64 12J15 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fornasiero, Antongiulio; Kaplan, Elliot Generic derivations on o-minimal structures. (English) Zbl 1547.03267 J. Math. Log. 21, No. 2, Article ID 2150007, 45 p. (2021). MSC: 03C64 03C10 03C60 12H05 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eleftheriou, Pantelis E.; Sánchez, Omar León; Regnault, Nathalie On coincidence of dimensions in closed ordered differential fields. (English) Zbl 1485.03121 Notre Dame J. Formal Logic 62, No. 2, 257-268 (2021). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C60 03C64 03C40 12J15 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Milliet, Cédric Pseudo-linear algebra over a division ring. (English) Zbl 1468.16031 J. Algebra 569, 143-168 (2021). Reviewer: Huynh Viet Khanh (Ho Chi Minh City) MSC: 16K40 16S36 12E15 03C45 03C60 12L12 12J10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Velioǧlu, Zehra; Balçik, Mukaddes On the tame automorphisms of differential polynomial algebras. (English) Zbl 1484.12010 AIMS Math. 5, No. 4, 3547-3555 (2020). MSC: 12H05 08B25 16W20 × Cite Format Result Cite Review PDF Full Text: DOI
Pynn-Coates, Nigel Differential-henselianity and maximality of asymptotic valued differential fields. (English) Zbl 1503.12002 Pac. J. Math. 308, No. 1, 161-205 (2020). Reviewer: Mickaël Matusinski (Bordeaux) MSC: 12H05 12J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gehret, Allen; Kaplan, Elliot Distality for the asymptotic couple of the field of logarithmic transseries. (English) Zbl 1484.03068 Notre Dame J. Formal Logic 61, No. 2, 341-361 (2020). MSC: 03C64 03C45 06F20 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ecalle, Jean The natural growth scale. (English) Zbl 1494.30004 Chapoton, Frédéric (ed.) et al., Algebraic combinatorics, resurgence, moulds and applications (CARMA). Volume 1. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 31, 93-223 (2020). MSC: 30B10 26A99 × Cite Format Result Cite Review PDF Full Text: DOI
Cubides Kovacsics, Pablo; Kuhlmann, Franz-Viktor; Rzepka, Anna On valuation independence and defectless extensions of valued fields. (English) Zbl 1453.12008 J. Algebra 555, 69-95 (2020). Reviewer: Carla Massaza (Torino) MSC: 12J10 13A18 03C98 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gehret, Allen; Nell, Travis Hamel spaces and distal expansions. (English) Zbl 1477.03153 J. Symb. Log. 85, No. 1, 422-438 (2020). MSC: 03C64 03C45 06F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galal, Zeinab; Kaiser, Tobias; Speissegger, Patrick Ilyashenko algebras based on transserial asymptotic expansions. (English) Zbl 1448.14059 Adv. Math. 367, Article ID 107095, 67 p. (2020). Reviewer: Armin Rainer (Wien) MSC: 14P15 12L12 03C64 12H05 03C60 26A12 41A60 30E15 37E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van den Dries, Lou; van der Hoeven, Joris; Kaplan, Elliot Logarithmic hyperseries. (English) Zbl 1494.12004 Trans. Am. Math. Soc. 372, No. 7, 5199-5241 (2019). Reviewer: Wai Yan Pong (Carson) MSC: 12H05 03C64 03C60 03C98 16W60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuhlmann, Salma; Lehéricy, Gabriel The differential rank of a differential-valued field. (English) Zbl 1423.12007 Math. Z. 292, No. 3-4, 1017-1049 (2019). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12H05 12J10 12J15 13F25 16W60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pynn-Coates, Nigel Newtonian valued differential fields with arbitrary value group. (English) Zbl 1434.12007 Commun. Algebra 47, No. 7, 2766-2776 (2019). Reviewer: Allen Gehret (Los Angeles) MSC: 12J10 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van der Hoeven, Joris Effective power series computations. (English) Zbl 1427.13038 Found. Comput. Math. 19, No. 3, 623-651 (2019). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 13F25 68W30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris The surreal numbers as a universal \(H\)-field. (English) Zbl 1470.12004 J. Eur. Math. Soc. (JEMS) 21, No. 4, 1179-1199 (2019). Reviewer: Mickaël Matusinski (Bordeaux) MSC: 12J10 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
van den Dries, Lou; Ehrlich, Philip Homogeneous universal \(H\)-fields. (English) Zbl 1484.03070 Proc. Am. Math. Soc. 147, No. 5, 2231-2234 (2019). MSC: 03C64 12H05 13N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berarducci, Alessandro; Mantova, Vincenzo Transseries as germs of surreal functions. (English) Zbl 1484.12011 Trans. Am. Math. Soc. 371, No. 5, 3549-3592 (2019). MSC: 12J10 03C64 03E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Echi, Othman; Khalfallah, Adel On the prime spectrum of the ring of bounded nonstandard complex numbers. (English) Zbl 1417.26007 Proc. Am. Math. Soc. 147, No. 2, 687-699 (2019). MSC: 26E35 03H05 12J20 12J25 13A15 13F30 × Cite Format Result Cite Review PDF Full Text: DOI
van den Dries, Lou; Pynn-Coates, Nigel On the uniqueness of maximal immediate extensions of valued differential fields. (English) Zbl 1442.12005 J. Algebra 519, 87-100 (2019). Reviewer: Allen Gehret (Los Angeles) MSC: 12J10 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris Maximal immediate extensions of valued differential fields. (English) Zbl 1437.12003 Proc. Lond. Math. Soc. (3) 117, No. 2, 376-406 (2018). MSC: 12H05 12J20 16W60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Hakobyan, Tigran An Ax-Kochen-Ershov theorem for monotone differential-Henselian fields. (English) Zbl 1475.03087 J. Symb. Log. 83, No. 2, 804-816 (2018). Reviewer: Luc Bélair (Montréal) MSC: 03C60 12J10 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gontsov, Renat; Goryuchkina, Irina The Maillet-Malgrange type theorem for generalized power series. (English) Zbl 1395.34088 Manuscr. Math. 156, No. 1-2, 171-185 (2018). Reviewer: Shun Shimomura (Yokohama) MSC: 34M25 34M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mantova, Vincenzo; Matusinski, Mickaël Surreal numbers with derivation, Hardy fields and transseries: a survey. To the memory of Murray Marshall. (English) Zbl 1437.03132 Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 697, 265-290 (2017). MSC: 03C64 12J15 13N15 03C60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris Dimension in the realm of transseries. (English) Zbl 1388.12008 Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2966-9/pbk; 978-1-4704-4222-4/ebook). Contemporary Mathematics 697, 23-39 (2017). MSC: 12H05 12J25 03C64 12J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Gehret, Allen A tale of two Liouville closures. (English) Zbl 1387.12004 Pac. J. Math. 290, No. 1, 41-76 (2017). MSC: 12H05 12J10 06F20 12J15 26A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gehret, Allen NIP for the asymptotic couple of the field of logarithmic transseries. (English) Zbl 1419.03035 J. Symb. Log. 82, No. 1, 35-61 (2017). MSC: 03C64 06F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gehret, Allen The asymptotic couple of the field of logarithmic transseries. (English) Zbl 1423.03133 J. Algebra 470, 1-36 (2017). MSC: 03C64 03C10 03C60 12H05 12J10 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goryuchkina, I. V. Classes of finite order formal solutions of an ordinary differential equation. (Russian. English summary) Zbl 1441.34093 Chebyshevskiĭ Sb. 17, No. 2(58), 64-87 (2016). MSC: 34M25 34M55 × Cite Format Result Cite Review PDF Full Text: MNR