Higher codimension Iwasawa theory for elliptic curves with supersingular reduction. (English. French summary) Zbl 07926281
MSC:
11R23
Found 234 Documents (Results 1–100)
On refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin \(L\)-series. (English) Zbl 07913517
Memoirs of the American Mathematical Society 1482. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6966-5/pbk; 978-1-4704-7830-8/ebook). v, 156 p. (2024).
Automorphism groups of simple abelian fourfolds over finite fields and Jordan constants. (English) Zbl 07903038
Structure of fine Selmer groups in abelian \(p\)-adic Lie extensions. (English) Zbl 07818451
Reviewer: Andrea Bandini (Pisa)
On the square root of the inverse different. (English) Zbl 1540.11158
Reviewer: Cornelius Greither (Neubiberg)
The strong Stark conjecture for totally odd characters. (English) Zbl 1540.11161
Reviewer: Henri Johnston (Exeter)
MSC:
11R42
MFO-RIMS tandem workshop: Arithmetic homotopy and Galois theory. Abstracts from the MFO-RIMS tandem workshop held September 24–29, 2023. (English) Zbl 1537.00019
MSC:
00B05
00B25
11-06
12-06
14-06
55-06
12F12
14G32
14H30
14H45
14F06
55Pxx
14F22
14G05
14D15
11F70
On mod 2 arithmetic Dijkgraaf-Witten invariants for certain real quadratic number fields. (English) Zbl 1528.11119
On Galois-Gauss sums and the square root of the inverse different. (English) Zbl 1540.11159
Reviewer: Alessandro Cobbe (Neubiberg)
The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields. (English) Zbl 1534.11132
Reviewer: Henri Johnston (Exeter)
Values of zeta functions of arithmetic surfaces at \(s=1\). (English) Zbl 07727455
Reviewer: Remke Kloosterman (Padova)
Tropical moments of tropical Jacobians. (English) Zbl 1520.14114
Reviewer: Guoquan Gao (Beijing)
The Galois module structure of holomorphic poly-differentials and Riemann-Roch spaces. (English) Zbl 1533.11120
Reviewer: David Joyner (Annapolis)
Holomorphic differentials of Klein four covers. (English) Zbl 1531.11059
Reviewer: Hiroyuki Terakawa (Tsuru)
Higher codimension behavior in equivariant Iwasawa theory for CM-fields. (English) Zbl 1511.11090
MSC:
11R23
Quadratic Chabauty for modular curves: algorithms and examples. (English) Zbl 1529.11080
Reviewer: Noriko Yui (Kingston)
On genera containing non-split Eichler orders over function fields. (English. French summary) Zbl 1516.14062
Reviewer: Giancarlo Lucchini Arteche (Santiago)
On pseudo-null Iwasawa modules. (English. French summary) Zbl 1498.11220
MSC:
11R23
Codimension two cycles in Iwasawa theory and tensor product of Hida families. (English) Zbl 1529.11113
Reviewer: Andrzej Dąbrowski (Szczecin)
Effect of increasing the ramification on pseudo-deformation rings. (English. French summary) Zbl 1501.11060
Reviewer: Andrzej Dąbrowski (Szczecin)
Finite submodules of Iwasawa modules for multi-variable extensions. (English) Zbl 1504.11119
Reviewer: Andrea Bandini (Pisa)
MSC:
11R23
Maximal orders containing a given sub-order for local fields of even characteristic. (English) Zbl 1499.11352
Automata and finite order elements in the Nottingham group. (English) Zbl 1503.11063
Reviewer: Thomas B. Ward (Durham)
Class groups and local indecomposability for non-CM forms. (English) Zbl 1500.11048
Reviewer: Imin Chen (Burnaby)
Exterior powers in Iwasawa theory. (English) Zbl 1494.11091
Reviewer: Andreas Nickel (Essen)
On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture. (English) Zbl 1485.11157
Reviewer: Cornelius Greither (Neubiberg)
Galois coinvariants of the unramified Iwasawa modules of multiple \(\mathbb{Z}_p\)-extensions. (English. French summary) Zbl 1491.11102
Reviewer: Lawrence C. Washington (College Park)
MSC:
11R23
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 slopes of the lattice of sections of hermitian line bundles. (English) Zbl 1490.14043
Reviewer: Matteo Tamiozzo (London)
Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds. (English) Zbl 1473.30026
Reviewer: Ernesto Martínez (Madrid)
On the algebraic functional equation of the eigenspaces of mixed signed Selmer groups of elliptic curves with good reduction at primes above \(p\). (English) Zbl 1479.11101
Ramification of wild automorphisms of Laurent series fields. (English) Zbl 1464.11125
Reviewer: Mouad Moutaoukil (Fès)
A genus formula for the positive étale wild kernel. (English) Zbl 1453.11147
Reviewer: Balasubramanian Sury (Bangalore)
The boundary Lerch zeta-function and short character sums à la Y. Yamamoto. (English) Zbl 1464.11094
Absolute profinite rigidity and hyperbolic geometry. (English) Zbl 1455.57028
Reviewer: Luisa Paoluzzi (Marseille)
Arithmetic Chern-Simons theory. II. (English) Zbl 1440.11207
Bhatt, Bhargav (ed.) et al., \(p\)-adic Hodge theory. Proceedings of the Simons symposium, Schloss Elmau, Germany, May 7–13, 2017. Cham: Springer. Simons Symp., 81-128 (2020).
Computing isomorphisms between lattices. (English) Zbl 1452.11134
Reviewer: Dimitros Poulakis (Thessaloniki)
On derivatives of \(p\)-adic \(L\)-series at \(s = 0\). (English) Zbl 1492.11148
Reviewer: Andrzej Dąbrowski (Szczecin)
Geometric formulas on Rumely’s weight function and crucial measure in non-archimedean dynamics. (English) Zbl 1471.37086
On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification. (English) Zbl 1451.11121
Reviewer: Andreas Nickel (Essen)
Branches on division algebras. (English) Zbl 1453.16015
Conjectures of Brumer, Gross and Stark. (English) Zbl 1469.11427
Baake, Michael (ed.) et al., Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 365-388 (2019).
Reviewer: Lawrence C. Washington (College Park)
MSC:
11R23
A probabilistic approach to systems of parameters and Noether normalization. (English) Zbl 1431.13011
Reviewer: Maciej Ulas (Kraków)
Computing embedding numbers and branches of orders via extensions of the Bruhat-Tits tree. (English) Zbl 1437.11158
Reviewer: Balasubramanian Sury (Bangalore)
MSC:
11S45
Infinite series of quaternionic \(1\)-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes. (English) Zbl 1471.20025
Reviewer: Uzi Vishne (Ramat Gan)
On the self-duality of rings of integers in tame and abelian extensions. (English) Zbl 1469.11439
Reviewer: Henri Johnston (Exeter)
Hasse-Witt and Cartier-Manin matrices: a warning and a request. (English) Zbl 1439.11145
Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 1-18 (2019).
Waring’s problem for unipotent algebraic groups. (Le problème de Waring pour les groupes algébriques unipotents.) (English. French summary) Zbl 1459.11189
Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction. (English) Zbl 1456.11212
Reviewer: Wei Feng (Beijing)
On Iwasawa theory of Rubin-Stark units and narrow class groups. (English) Zbl 1471.11270
Reviewer: Cornelius Greither (Neubiberg)
Commensurability classes of fake quadrics. (English) Zbl 1478.14058
Sel. Math., New Ser. 25, No. 3, Paper No. 48, 39 p. (2019); correction ibid. 25, No. 4, Paper No. 56, 2 p. (2019).
Reviewer: Federico Conti (Pisa)
Automorphisms of curves and Weierstrass semigroups for Harbater-Katz-Gabber covers. (English) Zbl 1411.14031
Reviewer: Christophe Ritzenthaler (Marseille)
Galois-module theory for wildly ramified covers of curves over finite fields (with an appendix by Bernhard Köck and Adriano Marmora). (English) Zbl 1454.11209
A classification of \(\mathbb{R}\)-Fuchsian subgroups of Picard modular groups. (English) Zbl 1481.11044
Abhyankar’s conjectures in Galois theory: current status and future directions. (English) Zbl 1432.14029
On the relative Galois module structure of rings of integers in tame extensions. (English) Zbl 1466.11085
Reviewer: Henri Johnston (Exeter)
Quaternionic arithmetic lattices of rank 2 and a fake quadric in characteristic 2. (English) Zbl 1461.20009
On optimal embeddings and trees. (English) Zbl 1440.11223
Reviewer: Wolfgang Rump (Stuttgart)
Geodesic curves on Shimura surfaces. (English) Zbl 1414.20017
Reviewer: Ismail Naci Cangül (Bursa)
Fields of definition of elliptic \(k\)-curves and the realizability of all genus 2 Sato-Tate groups over a number field. (English) Zbl 1432.11059
Green’s functions on Mumford curves. (English) Zbl 1401.11106
Reviewer: Ernst-Ulrich Gekeler (Saarbrücken)
Locally equivalent correspondences. (Correspondances localement équivalentes.) (English. French summary) Zbl 1437.11154
Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds. (Petits écarts entre idéaux premiers et spectres de longueurs de 3-variétés hyperboliques arithmétiques.) (English. French summary) Zbl 1379.58016
Néron models. (English) Zbl 1396.14038
Reviewer: Cherng-tiao Perng (Norfolk)
Simply transitive quaternionic lattices of rank \(2\) over \(\mathbb{F}_q(t)\) and a non-classical fake quadric. (English) Zbl 1405.11089
\(p\)-adic \(L\)-functions and the coniveau filtration on Chow groups. With an appendix by Brian Conrad. (English) Zbl 1436.11141
Totally geodesic spectra of arithmetic hyperbolic spaces. (English) Zbl 1385.11017
Reviewer: Andrzej Szczepański (Gdańsk)
Local selectivity of orders in central simple algebras. (English) Zbl 1372.11103
Reviewer: Władysław Narkiewicz (Wrocław)
Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces. (English) Zbl 1360.14079
Reviewer: Yu Yasufuku (Tokyo)
Some congruences for non-CM elliptic curves. (English) Zbl 1414.11142
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, 295-309 (2016).
Small generators of cocompact arithmetic Fuchsian groups. (English) Zbl 1380.20052
Reviewer: Alexander W. Mason (Glasgow)
Galois module structure of the square root of the inverse different in even degree tame extensions of number fields. (English) Zbl 1407.11129
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