Found 395 Documents (Results 1–100)
Class field theory, Hasse principles and Picard-Brauer duality for two-dimensional local rings. (English) Zbl 07874957
Global \(B(G)\) with adelic coefficients and transfer factors at non-regular elements. (English) Zbl 07826559
Reviewer: Laure Blasco (Paris)
The \(p\)-adic Simpson correspondence and Hodge-Tate local systems. (English) Zbl 07820896
Lecture Notes in Mathematics 2345. Cham: Springer (ISBN 978-3-031-55913-6/pbk; 978-3-031-55914-3/ebook). x, 443 p. (2024).
Structure of fine Selmer groups over \(\mathbb{Z}_p\)-extensions. (English) Zbl 07806814
Reviewer: Andrea Bandini (Pisa)
Cocycles for Kottwitz cohomology. arXiv:2407.06031
Preprint, arXiv:2407.06031 [math.NT] (2024).
MSC:
11S25
Crystalline part of the Galois cohomology of crystalline representations. arXiv:2405.17012
Preprint, arXiv:2405.17012 [math.NT] (2024).
Cohomology of p-adic fields and Local class field theory. arXiv:2405.15748
Preprint, arXiv:2405.15748 [math.NT] (2024).
On extra zeros of \(p\)-adic Rankin-Selberg \(L\)-functions. (English) Zbl 1532.11153
St. Petersbg. Math. J. 34, No. 6, 929-989 (2023) and Algebra Anal. 34, No. 6, 55-134 (2022).
Ordinary deformations are unobstructed in the cyclotomic limit. (English) Zbl 1537.11078
Reviewer: Andrzej Dąbrowski (Szczecin)
Zeta morphisms for rank two universal deformations. (English) Zbl 07749817
Reviewer: Andrzej Dąbrowski (Szczecin)
Rank growth of elliptic curves over \(N\)-th root extensions. (English) Zbl 1526.11029
Reviewer: Andrzej Dąbrowski (Szczecin)
Period morphisms and syntomic cohomology. (Morphismes de périodes et cohomologie syntomique.) (French. English summary) Zbl 1523.14041
Deformations of \(G\)-valued pseudocharacters. arXiv:2310.14886
Preprint, arXiv:2310.14886 [math.NT] (2023).
Level-raising of even representations of tetrahedral type and equidistribution of lines in the projective plane. arXiv:2310.14352
Preprint, arXiv:2310.14352 [math.NT] (2023).
On Greenberg–Benois \(\mathcal{L}\)-invariants and Fontaine–Mazur \(\mathcal{L}\)-invariants. arXiv:2310.11098
Preprint, arXiv:2310.11098 [math.NT] (2023).
Syntomic complex and \(p\)-adic nearby cycles. arXiv:2308.10736
Preprint, arXiv:2308.10736 [math.NT] (2023).
Galois cohomology for Lubin-Tate \((\varphi_q,\Gamma_{LT})\)-modules over coefficient rings. (English) Zbl 1529.11076
Reviewer: Nikolaj M. Glazunov (Sofia)
Elements of prime order in Tate-Shafarevich groups of abelian varieties over \(\mathbb{Q}\). (English) Zbl 1512.11057
Reviewer: Andrzej Dąbrowski (Szczecin)
The epsilon constant conjecture for higher dimensional unramified twists of \(\mathbb{Z}_p^r(1)\). (English) Zbl 1511.11095
Reviewer: Manouchehr Misaghian (Prairie View)
Galois cohomology of function fields of curves over non-Archimedean local fields. (English) Zbl 1510.12004
Reviewer: Yong Hu (Guangdong)
Real structures on nilpotent orbit closures. (English) Zbl 1494.14050
Reviewer: Mee Seong Im (Annapolis)
Codimension two cycles in Iwasawa theory and tensor product of Hida families. (English) Zbl 1529.11113
Reviewer: Andrzej Dąbrowski (Szczecin)
Bad places for the approximation property for finite groups. (English. French summary) Zbl 1519.11065
Reviewer: Manouchehr Misaghian (Prairie View)
On universal norm elements and a problem of Coleman. (English) Zbl 1501.11100
Reviewer: Abdelmalek Azizi (Oujda)
On the cohomology of Kobayashi’s plus/minus norm groups and applications. (English) Zbl 1502.11111
Reviewer: Andreas Nickel (Essen)
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).
Abelian varieties, homogeneous spaces and duality. arXiv:2209.09507
Preprint, arXiv:2209.09507 [math.AG] (2022).
\(3\)-Selmer group, ideal class groups and cube sum problem. arXiv:2207.12487
Preprint, arXiv:2207.12487 [math.NT] (2022).
From Fontaine-Mazur conjecture to analytic pro-p groups – A survey. arXiv:2205.03558
Preprint, arXiv:2205.03558 [math.NT] (2022).
Real structures on complex algebraic varieties with a reductive group action. arXiv:2203.01232
Preprint, arXiv:2203.01232 [math.AG] (2022).
Iwasawa theory of fine Selmer groups over global fields. arXiv:2201.01751
Preprint, arXiv:2201.01751 [math.NT] (2022).
On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions. (English) Zbl 1483.11115
A representative of \(R{\Gamma}(N,T)\) for higher dimensional twists of \(\mathbb{Z}_p^r(1)\). (English) Zbl 1483.11256
Reviewer: Manouchehr Misaghian (Prairie View)
On the algebraic functional equation for the mixed signed Selmer group over multiple \(\mathbb{Z}_p\)-extensions. (English) Zbl 1483.11242
\(p^r\)-Selmer companion modular forms. (\(p^r\)-Selmer compagnon formes modulaires.) (English. French summary) Zbl 1472.11132
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). (English) Zbl 1473.11200
Cohomology and overconvergence for representations of powers of Galois groups. (English) Zbl 1471.11284
Reviewer: David Schwein (Ann Arbor)
Derivatives of Frobenius and derivatives of Hodge-Tate weights. (English) Zbl 1466.11089
Reviewer: Mouad Moutaoukil (Fès)
Crystalline representations and Wach modules in the relative case. arXiv:2103.17097
Preprint, arXiv:2103.17097 [math.NT] (2021).
Ranks of abelian varieties in cyclotomic twist families. arXiv:2107.06803
Preprint, arXiv:2107.06803 [math.NT] (2021).
\(p\)-adic heights and \(p\)-adic Hodge theory. (English. French summary) Zbl 1465.11207
Mém. Soc. Math. Fr., Nouv. Sér. 167, 1-135 (2020).
On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3. (English) Zbl 1456.11224
On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions. (English) Zbl 1465.11214
Finite group actions on reductive groups and buildings and tamely-ramified descent in Bruhat-Tits theory. (English) Zbl 1528.20040
Grothendieck’s pairing on Néron component groups: Galois descent from the semistable case. (English) Zbl 1469.11184
On the arithmetic of modified idèle class groups. (English. Russian original) Zbl 1456.11211
Izv. Math. 84, No. 3, 545-591 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 3, 119-167 (2020).
A generalization of a theorem of Swan with applications to Iwasawa theory. (English) Zbl 1442.11146
Reviewer: Wei Feng (Beijing)
Galois cohomology and class field theory. Translated from the French by Andrei Yafaev. (English) Zbl 1466.11086
Universitext. Cham: Springer (ISBN 978-3-030-43900-2/pbk; 978-3-030-43901-9/ebook). xiv, 338 p. (2020).
Reviewer: Balasubramanian Sury (Bangalore)
On the Euler characteristics of signed Selmer groups. (English) Zbl 1479.11188
Reviewer: Andrea Bandini (Pisa)
Universal norms and the Fargues-Fontaine curve. arXiv:2010.02292
Preprint, arXiv:2010.02292 [math.NT] (2020).
Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields. (English) Zbl 1454.11201
Reviewer: Mouad Moutaoukil (Fès)
Cyclicity of abelian unramified pro-2-extension of the cyclotomic \(\mathbb{Z}_2\)-extension of certain real biquadratic number fields. (English) Zbl 1443.11227
Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction. (English) Zbl 1456.11212
Reviewer: Wei Feng (Beijing)
On free resolutions of Iwasawa modules. (English) Zbl 1425.11174
Reviewer: Wei Feng (Beijing)
On flagged framed deformation problems of local crystalline Galois representations. (English) Zbl 1454.11107
A duality theorem for Tate-Shafarevich groups of curves over algebraically closed fields. (English) Zbl 1451.11130
Reviewer: Fangzhou Jin (Essen)
Kato’s local \(\varepsilon\)-conjecture in dimension 2. (La conjecture \(\varepsilon\) locale de Kato en dimension 2.) (French. English summary) Zbl 1446.11103
A gentle course in local class field theory. Local number fields, Brauer groups, Galois cohomology. (English) Zbl 1423.11002
Cambridge: Cambridge University Press (ISBN 978-1-108-43224-5/pbk; 978-1-108-42177-5/hbk; 978-1-108-37775-1/ebook). xiv, 293 p. (2018).
Reviewer: Kevin Keating (Gainesville)
Local root numbers and spectrum of the local descents for orthogonal groups: \(p\)-adic case. (English) Zbl 1467.11051
Reviewer: Marcela Hanzer (Zagreb)
On \(\mod p\) local-global compatibility for \(\mathrm{GL}_3(\mathbb{Q}_p)\) in the non-ordinary case. (English) Zbl 1444.11079
Arithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\). (English) Zbl 1440.11217
On formal groups and Tate cohomology in local fields. (English) Zbl 1402.14061
Reviewer: Alan Koch (Decatur)
Local-global principle for reduced norms over function fields of \(p\)-adic curves. (English) Zbl 1469.11061
Reviewer: Detlev Hoffmann (Dortmund) (MR3732207)
Local \(\varepsilon\)-isomorphisms for rank two \(p\)-adic representations of \(\operatorname{Gal}(\overline{\mathbb{Q}}_p / \mathbb{Q}_p)\) and a functional equation of Kato’s Euler system. (English) Zbl 1426.11055
Locally equivalent correspondences. (Correspondances localement équivalentes.) (English. French summary) Zbl 1437.11154
The equivariant local \(\varepsilon \)-constant conjecture for unramified twists of \(\mathbb Z_p(1)\). (English) Zbl 1391.11149
Reviewer: Andrzej Dąbrowski (Szczecin)
A generalization of Kato’s local \(\varepsilon\)-conjecture for \((\varphi,\Gamma)\)-modules over the Robba ring. (English) Zbl 1431.11072
Reviewer: Lei Yang (Beijing)
Massey products \(\langle y,x,x,\ldots ,x,x,y\rangle\) in Galois cohomology via rational points. (English) Zbl 1380.55013
Abelian varieties for function fields of curves over local fields. (Variétés abéliennes sur les corps de fonctions de courbes sur des corps locaux.) (French. English summary) Zbl 1360.14113
Reviewer: Herbert Lange (Erlangen)
Cohomological invariants for \(G\)-Galois algebras and self-dual normal bases. (English) Zbl 1437.11157
Reviewer: Detlev Hoffmann (Dortmund)
Galois cohomology and class field theory. (Cohomologie galoisienne et théorie du corps de classes.) (French) Zbl 1367.11001
Savoirs Actuels. Les Ulis: EDP Sciences; Paris: CNRS Éditions (ISBN 978-2-7598-2066-5/pbk; 978-2-271-09509-1/pbk; 978-2-7598-2067-2/ebook). vi, 344 p. (2017).
Reviewer: Abdelmalek Azizi (Oujda)
Coates-Wiles homomorphisms and Iwasawa cohomology for Lubin-Tate extensions. (English) Zbl 1409.11107
Loeffler, David (ed.) et al., Elliptic curves, modular forms and Iwasawa theory. In honour of John H. Coates’ 70th birthday, Cambridge, UK, March 2015. Proceedings of the conference and the workshop. Cham: Springer. Springer Proc. Math. Stat. 188, 401-468 (2016).
Serre weights and wild ramification in two-dimensional Galois representations. (English) Zbl 1417.11099
Sen theory and locally analytic vectors. (Théorie de Sen et vecteurs localement analytiques.) (French. English summary) Zbl 1396.11130
Equivariant epsilon constant conjectures for weakly ramified extensions. (English) Zbl 1378.11097
Reviewer: Andreas Nickel (Essen)
Unobstructed Hilbert modular deformation problems. (English. French summary) Zbl 1411.11045
The \(p\)-adic Simpson correspondence. (English) Zbl 1342.14045
Annals of Mathematics Studies 193. Princeton, NJ: Princeton University Press (ISBN 978-0-691-17029-9/pbk; 978-0-691-17028-2/hbk; 978-1-400-88123-9/ebook). xi, 603 p. (2016).
Reviewer: Gerd Faltings (Bonn)
Capitulation, unit groups, and the cohomology of \(S\)-idèle classes. arXiv:1610.00733
Preprint, arXiv:1610.00733 [math.NT] (2016).
On the determinantal approach to the Tamagawa number conjecture. (English) Zbl 1353.14027
Coates, John (ed.) et al., The Bloch-Kato conjecture for the Riemann zeta function. Proceedings of the workshop ’The Bloch-Kato conjecture for the Riemann zeta function at the odd positive integers’, Pune, India, July 1012. Cambridge: Cambridge University Press (ISBN 978-1-107-49296-7/pbk). 154-192 (2015).
Galois sections for abelian varieties over number fields. (English. French summary) Zbl 1416.11089
On the vanishing of cohomologies of \(p\)-adic Galois representations associated with elliptic curves. (English) Zbl 1379.11061
Irreducibility of versal deformation rings in the \((p,p)\)-case for 2-dimensional representations. (English) Zbl 1354.11042
Reviewer: Piotr Krasoń (Szczecin)
Topology on cohomology of local fields. (English) Zbl 1396.11133
Reviewer: Nikolaj M. Glazunov (Kyïv)
Integral Eisenstein cocycles on \(\mathrm{GL}_n\). II: Shintani’s method. (English) Zbl 1326.11072
Reviewer: Anatoly N. Kochubei (Kyïv)
\(p\)-adic Hodge theory in rigid analytic families. (English) Zbl 1330.14036
Reviewer: Nikita Kalinin (Geneva)
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