zbMath1142.11336MaRDI QIDQ4831110
Kazuya Kato
Publication date: 21 December 2004
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Euler characteristics and their congruences for multisigned Selmer groups ⋮
Introduction to the Conjectures of Birch and Swinnerton-Dyer ⋮
The Birch and Swinnerton-Dyer Conjecture: A brief survey ⋮
Asymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towers ⋮
On the exceptional zeros of 𝑝-non-ordinary 𝑝-adic 𝐿-functions and a conjecture of Perrin-Riou ⋮
SELMER GROUPS OF ELLIPTIC CURVES OVER THE EXTENSION ⋮
Elements of prime order in Tate–Shafarevich groups of abelian varieties over ⋮
$\mathfrak{M}_H(G)$-property and congruence of Galois representations ⋮
Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions ⋮
EULER SYSTEMS FOR HILBERT MODULAR SURFACES ⋮
On the nonvanishing of generalised Kato classes for elliptic curves of rank 2 ⋮
ON FINE SELMER GROUPS AND SIGNED SELMER GROUPS OF ELLIPTIC MODULAR FORMS ⋮
Unnamed Item ⋮
On the cohomology of Kobayashi’s plus/minus norm groups and applications ⋮
Elliptic curves, \(L\)-functions, and Hilbert's tenth problem ⋮
On the \(\mu\)-invariant of fine Selmer groups ⋮
Quadratic twists of \(X_0(14)\) ⋮
On $L$-functions of quadratic $\mathbb {Q}$-curves ⋮
On Siegel eigenvarieties at Saito-Kurokawa points ⋮
On the rank-part of the Mazur-Tate refined conjecture for higher weight modular forms ⋮
A numerical approach toward the \(p\)-adic Beilinson conjecture for elliptic curves over \(\mathbb{Q}\) ⋮
Residual supersingular Iwasawa theory and signed Iwasawa invariants ⋮
-adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮
Existential definability and diophantine stability ⋮
On the soft \(p\)-converse to a theorem of Gross-Zagier and Kolyvagin ⋮
Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols ⋮
Elliptic curves and modularity ⋮
Asymptotic formula for Tate-Shafarevich groups of \(p\)-supersingular elliptic curves over anticyclotomic extensions ⋮
Torsion subgroups of elliptic curves over quintic and sextic number fields ⋮
Arithmetic properties of signed Selmer groups at non-ordinary primes ⋮
On the Iwasawa theory of CM fields for supersingular primes ⋮
Control theorems for fine Selmer groups ⋮
Weak Leopoldt's conjecture for Hecke characters of imaginary quadratic fields ⋮
Rational points on algebraic curves in infinite towers of number fields ⋮
Mordell–Weil ranks of elliptic curves in the cyclotomic ℤ2-extension of the rationals ⋮
Torsion points on elliptic curves over number fields of small degree ⋮
On certain 𝐿-functions for deformations of knot group representations ⋮
A generalization of a theorem of Imai and its applications to Iwasawa theory ⋮
Determination of the modular Jacobian varieties \(J_1(M,MN)\) with the Mordell-Weil rank zero ⋮
The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\) ⋮
Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions ⋮
Congruences with Eisenstein series and -invariants ⋮
GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS ⋮
Valeur en $2$ de fonctions $L$ de formes modulaires de poids $2$ : théorème de Beilinson explicite ⋮
Kato's Euler system ⋮
On higher regulators of Siegel threefolds II: the connection to the special value ⋮
On norm relations for Asai–Flach classes ⋮
On the Bloch-Kato conjecture for elliptic modular forms of square-free level ⋮
Growth of Fine Selmer Groups in Infinite Towers ⋮
Iwasawa Theory, projective modules, and modular representations ⋮
Root numbers, Selmer groups, and non-commutative Iwasawa theory ⋮
Polylogarithm for families of commutative group schemes ⋮
Statistics for Iwasawa invariants of elliptic curves ⋮
The algebraic \(p\)-adic \(L\)-function and isogeny between families of Galois representations ⋮
Symboles de Manin et valeurs de fonctions L ⋮
Unnamed Item ⋮
Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves ⋮
Integral Iwasawa theory of Galois representations for non-ordinary primes ⋮
Beilinson-Flach elements, Stark units and \(p\)-adic iterated integrals ⋮
A $p$-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties ⋮
Regulators of Siegel units and applications ⋮
On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensions ⋮
Variation of the algebraic λ-invariant over a solvable extension ⋮
Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮
Quadratic \(\mathbb Q\)-curves, units and Hecke \(L\)-values ⋮
Remarks on Kato's Euler systems for elliptic curves with additive reduction ⋮
On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions ⋮
Structure of the Mordell-Weil group over the ℤ_{𝕡}-extensions ⋮
\(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin ⋮
On the structure of signed Selmer groups ⋮
Norm-compatible systems of cohomology classes for GU(2,2) ⋮
ON THE EULER CHARACTERISTICS OF SIGNED SELMER GROUPS ⋮
Mahler measures of elliptic modular surfaces ⋮
EISENSTEIN–KRONECKER SERIES VIA THE POINCARÉ BUNDLE ⋮
Specialization method in Krull dimension two and Euler system theory over normal deformation rings ⋮
Algorithms for the arithmetic of elliptic curves using Iwasawa theory ⋮
On fine Selmer groups and the greatest common divisor of signed and chromatic 𝑝-adic 𝐿-functions ⋮
Selmer groups in Iwasawa theory and congruences ⋮
Rank-two Euler systems for symmetric squares ⋮
Equivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristic ⋮
Iwasawa theory of the fine Selmer group ⋮
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$ ⋮
The 2-primary torsion on elliptic curves in the \(\mathbb Z_p\)-extensions of \(\mathbb Q\) ⋮
Euler characteristics and their congruences in the positive rank setting ⋮
Bounding the Iwasawa invariants of Selmer groups ⋮
Overview of Some Iwasawa Theory ⋮
Introduction to Skinner-Urban’s Work on the Iwasawa Main Conjecture for GL2 ⋮
On Extra Zeros of p-Adic L-Functions: The Crystalline Case ⋮
Modular Symbols in Iwasawa Theory ⋮
The p-Adic Height Pairing on Abelian Varieties at Non-ordinary Primes ⋮
The Structure of Selmer Groups of Elliptic Curves and Modular Symbols ⋮
On completely faithful Selmer groups of elliptic curves and Hida deformations ⋮
Beilinson-Flach elements and Euler systems II: The Birch-Swinnerton-Dyer conjecture for Hasse-Weil-Artin 𝐿-series ⋮
Elliptic curves with exceptionally large analytic order of the Tate–Shafarevich groups ⋮
Congruences Between Modular Forms and the Birch and Swinnerton-Dyer Conjecture ⋮
A higher rank Euler system for Gm over a totally real field ⋮
On universal norms for $p$-adic representations in higher-rank Iwasawa theory ⋮
Rank parity for congruent supersingular elliptic curves ⋮
Régulateurs modulaires explicites via la méthode de Rogers–Zudilin ⋮
Zeta morphisms for rank two universal deformations
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