Found 800 Documents (Results 1–100)
Finiteness of analytic cohomology of Lubin-Tate \(( \varphi_L,\Gamma_L)\)-modules. (English) Zbl 07895025
Recovering \(p\)-adic valuations from pro-\(p\) Galois groups. (English) Zbl 07846304
Reviewer: Gerard Leloup (Le Mans)
Non-abelian extensions of degree \(p^3\) and \(p^4\) in characteristic \(p > 2\). (English) Zbl 07841529
Reviewer: Kevin Keating (Gainesville)
Galois equivariant functions on Galois orbits in large \(p\)-adic fields. (English) Zbl 07828275
Reviewer: Patrick Erik Bradley (Karlsruhe)
A Galois structure on the orbit of large steps walks in the quadrant. arXiv:2409.11084
Preprint, arXiv:2409.11084 [math.CO] (2024).
The \(m\)-step solvable anabelian geometry of mixed-characteristic local fields. arXiv:2405.16950
Preprint, arXiv:2405.16950 [math.NT] (2024).
La curva de Fargues–Fontaine: Una motivación al estudio de la teoría de representaciones de Galois \(p\)-ádicas. arXiv:2405.13250
Preprint, arXiv:2405.13250 [math.NT] (2024).
Galoisian structure of large steps walks in the quadrant. arXiv:2405.03508
Preprint, arXiv:2405.03508 [math.CO] (2024).
Ramification filtration via deformations, II. arXiv:2402.04053
Preprint, arXiv:2402.04053 [math.NT] (2024).
A single source theorem for primitive points on curves. arXiv:2401.03091
Preprint, arXiv:2401.03091 [math.NT] (2024).
Arithmetic modular links. (English) Zbl 1539.57016
Reviewer: Andrew Yarmola (New Haven)
Model theory of fields with finite group scheme actions. (English) Zbl 07781909
Reviewer: Mohammad Shahryari (Masqaṭ)
Families of Galois representations and \((\varphi , \tau )\)-modules. (English) Zbl 1535.11083
Reviewer: Lei Yang (Beijing)
Ramification filtration and differential forms. (English) Zbl 1535.11163
Izv. Math. 87, No. 3, 421-438 (2023) and Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 3, 5-22 (2023).
Reviewer: Kevin Keating (Gainesville)
\(G\)-valued crystalline deformation rings in the Fontaine-Laffaille range. (English) Zbl 07720729
Reviewer: Lei Yang (Beijing)
A dynamical analogue of Sen’s theorem. (English) Zbl 1528.11124
Reviewer: Kevin Keating (Gainesville)
The absolute Galois group of a \(p\)-adic field. In Erinnerung an Jürgen Ritter (1943–2021). (English) Zbl 1529.11115
Reviewer: Mouad Moutaoukil (Fès)
The structure of formal modules as Galois modules in cyclic unramified \(p\)-extensions. (English. Russian original) Zbl 1529.11116
J. Math. Sci., New York 272, No. 3, 367-375 (2023); translation from Zap. Nauchn. Semin. POMI 500, 37-50 (2021).
Reviewer: Kevin Keating (Gainesville)
\(F\)-analytic \(B\)-pairs. (English) Zbl 1525.11058
Combinatorics of Serre weights in the potentially Barsotti-Tate setting. (English) Zbl 1537.11136
Reviewer: Alexander Bertoloni Meli (Ann Arbor)
The Emerton-Gee stacks for tame groups, II. arXiv:2309.05773
Preprint, arXiv:2309.05773 [math.NT] (2023).
MSC:
11S20
Heisenberg varieties and the existence of de Rham lifts. arXiv:2309.00761
Preprint, arXiv:2309.00761 [math.NT] (2023).
MSC:
11S20
A Deligne-Lusztig type correspondence for tame \(p\)-adic groups. arXiv:2306.02093
Preprint, arXiv:2306.02093 [math.NT] (2023).
MSC:
11S20
Anabelian properties of infinite algebraic extensions of finite fields. arXiv:2304.13913
Preprint, arXiv:2304.13913 [math.NT] (2023).
The Emerton-Gee stacks for tame groups, I. arXiv:2304.05317
Preprint, arXiv:2304.05317 [math.NT] (2023).
MSC:
11S20
On the self-similarity of the norm one group of \(p\)-adic division algebras. arXiv:2303.14852
Preprint, arXiv:2303.14852 [math.GR] (2023).
Surfaces and p-adic fields I: Dehn twists. arXiv:2303.04309
Preprint, arXiv:2303.04309 [math.NT] (2023).
Bounded functions on the character variety. arXiv:2301.13650
Preprint, arXiv:2301.13650 [math.NT] (2023).
An introduction to \(p\)-adic Hodge theory. (English) Zbl 1498.11001
Banerjee, Debargha (ed.) et al., Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9–20, 2019. Singapore: Springer. Infosys Sci. Found. Ser., 69-219 (2022).
A short review on local shtukas and divisible local Anderson modules. (English) Zbl 1498.14117
Banerjee, Debargha (ed.) et al., Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9–20, 2019. Singapore: Springer. Infosys Sci. Found. Ser., 51-68 (2022).
Galois scaffolds for cyclic \(p^n\)-extensions in characteristic \(p\). (English) Zbl 1508.11107
Reviewer: Manouchehr Misaghian (Prairie View)
On the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields. (English) Zbl 1511.11094
Reviewer: Günter Lettl (Graz)
MSC:
11S20
The inverse Galois problem. (English) Zbl 1513.12006
Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\). (English) Zbl 1502.11031
Reviewer: Takao Komatsu (Hangzhou)
The local dimension of a finite group over a number field. (English) Zbl 1493.14049
Reviewer: Noriko Yui (Kingston)
Formal groups and lifts of the field of norms. (English) Zbl 1515.11115
Reviewer: Manouchehr Misaghian (Prairie View)
Discriminant-stability in \(p\)-adic Lie towers of number fields. (English) Zbl 1493.11151
Reviewer: Kevin Keating (Gainesville)
Ramification of Tate modules for rank \(2\) Drinfeld modules. arXiv:2204.13275
Preprint, arXiv:2204.13275 [math.NT] (2022).
v-vector bundles on p-adic fields and Sen theory via the Hodge-Tate stack. arXiv:2211.08470
Preprint, arXiv:2211.08470 [math.NT] (2022).
Geometric properties of homomorphisms between the absolute Galois groups of mixed-characteristic complete discrete valuation fields with perfect residue fields. arXiv:2208.11259
Preprint, arXiv:2208.11259 [math.NT] (2022).
From Fontaine-Mazur conjecture to analytic pro-p groups – A survey. arXiv:2205.03558
Preprint, arXiv:2205.03558 [math.NT] (2022).
Introduction to mono-anabelian geometry. (English. French summary) Zbl 1506.14055
Algèbre et théorie des nombres 2021. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2021. Besançon: Presses Universitaires de Franche-Comté. 5-44 (2021).
Multivariable \((\varphi ,\Gamma )\)-modules and representations of products of Galois groups: the case of the imperfect residue field. (\((\varphi ,\Gamma )\)-modules multivariables et représentations du produit du groupe de Galois : le cas des corps résiduels imparfaits.) (English. French summary) Zbl 1497.11283
Eisenstein polynomials defining cyclic \(p\)-adic fields with minimal wild ramification. (English) Zbl 1499.11349
Integer-valued polynomials over matrix rings of number fields. (English) Zbl 1479.13023
Reviewer: Toufik Zaïmi (Riyadh)
On triangulable tensor products of \(B\)-pairs and trianguline representations. (English) Zbl 1487.14052
Reviewer: Dingxin Zhang (Beijing)
Eisenstein polynomials defining Galois dihedral \(p\)-adic fields of degree \(2p\). (English) Zbl 1480.11150
Reviewer: Kevin Keating (Gainesville)
Differential \((\varphi,\tau)\)-modules and potentially semi-stable representations. (\((\varphi,\tau)\)-modules différentiels et représentations potentiellement semi-stables.) (French. English summary) Zbl 1479.11204
Ramification filtration via deformations. (English. Russian original) Zbl 1472.11289
Sb. Math. 212, No. 2, 135-169 (2021); translation from Mat. Sb. 212, No. 2, 3-37 (2021).
Reviewer: Kevin Keating (Gainesville)
Galois theories of \(q\)-difference equations: comparison theorems. (English) Zbl 1467.39005
Reviewer: Tsvetana Stoyanova (Sofia)
Cohomology and overconvergence for representations of powers of Galois groups. (English) Zbl 1471.11284
Reviewer: David Schwein (Ann Arbor)
Locally analytic vectors and overconvergent \((\varphi, \tau)\)-modules. (English) Zbl 1466.11030
Reviewer: Lei Yang (Beijing)
Rational functions with small value set. (English) Zbl 1468.11232
Reviewer: Peter Jau-Shyong Shiue (Las Vegas)
WITHDRAWN: On the realization of subgroups of \(PGL(2,F)\), and their automorphism groups, as Galois groups over function fields. arXiv:2109.06693
Preprint, arXiv:2109.06693 [math.NT] (2021); retraction notice ibid.
On the reductions of certain two-dimensional crystalline representations, III. arXiv:2102.13568
Preprint, arXiv:2102.13568 [math.NT] (2021).
MSC:
11S20
The Grunwald problem and specialization of families of regular Galois extensions. (English) Zbl 1470.14053
Reviewer: Noriko Yui (Kingston)
On the monodromy theorem for the family of \(p\)-adic differential equations. (Sur le théorème de la monodromie pour une famille d’équations différentielles \(p\)-adiques.) (French. English summary) Zbl 1472.14025
Reviewer: Vladimir P. Kostov (Nice)
Totally \(p\)-adic numbers of degree 3. (English) Zbl 1472.11325
Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 387-401 (2020).
Calculations in the generalized Lubin-Tate theory. (English. Russian original) Zbl 1471.11286
Vestn. St. Petersbg. Univ., Math. 53, No. 2, 131-135 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 210-216 (2020).
Reviewer: Kevin Keating (Gainesville)
Loose crystalline lifts and overconvergence of étale \((\varphi,\tau)\)-modules. (English) Zbl 1469.11453
MSC:
11S20
Relative crystalline representations and \(p\)-divisible groups in the small ramification case. (English) Zbl 1464.11057
On ramification index of composition of complete discrete valuation fields. (English) Zbl 1456.11222
Reviewer: Mouad Moutaoukil (Fès)
Explicit uniformizers for certain totally ramified extensions of the field of \(p\)-adic numbers. (English) Zbl 1460.11143
Reviewer: Mouad Moutaoukil (Fès)
Computing the Galois group of a polynomial over a \(p\)-adic field. (English) Zbl 1453.11154
MSC:
11S20
The universal family of semistable \(p\)-adic Galois representations. (English) Zbl 1456.11223
Reviewer: Mouad Moutaoukil (Fès)
An invitation to algebraic numbers and algebraic functions. (English) Zbl 1477.11002
Boca Raton, FL: CRC Press (ISBN 978-1-138-58361-0/hbk; 978-1-138-58361-0/ebook). xiv, 580 p. (2020).
Reviewer: Robert W. van der Waall (Huizen)
Prime-to-\(p\) étale fundamental groups of punctured projective lines over strictly Henselian fields. (English) Zbl 1439.14100
Reviewer: Kevin Keating (Gainesville)
The conductor density of local function fields with abelian Galois group. (English) Zbl 1439.11288
Reviewer: Kevin Keating (Gainesville)
Chebotarev density theorem in short intervals for extensions of \(\mathbb{F}_q(T)\). (English) Zbl 1460.11145
Galois scaffolds and semistable extensions. (English) Zbl 1442.11159
Reviewer: Thomas Schmidt (Corvallis)
Galois groups of p-extensions of higher local fields. arXiv:2009.02501
Preprint, arXiv:2009.02501 [math.NT] (2020).
Fast multiquadratic S-unit computation and application to the calculation of class groups. (English) Zbl 1517.11134
Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 103-118 (2019).
Fontaine’s programm. (Le programme de Fontaine.) (French. English summary) Zbl 1464.11056
An introduction to \(p\)-adic period rings. (English) Zbl 1443.13018
Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 19-92 (2019).
Inaba extension of complete field of characteristic 0. (Russian. English summary) Zbl 1457.11164
Metacyclic 2-extensions with cyclic kernel and ultrasolvability questions. (English. Russian original) Zbl 1471.12004
J. Math. Sci., New York 240, No. 4, 447-458 (2019); translation from Zap. Nauchn. Semin. POMI 460, 114-133 (2017).
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