scientific article; zbMATH DE number 2123616

From MaRDI portal
Publication:4831110

zbMath1142.11336MaRDI QIDQ4831110

Kazuya Kato

Publication date: 21 December 2004


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (only showing first 100 items - show all)

Euler characteristics and their congruences for multisigned Selmer groupsIntroduction to the Conjectures of Birch and Swinnerton-DyerThe Birch and Swinnerton-Dyer Conjecture: A brief surveyAsymptotic growth of Mordell–Weil ranks of elliptic curves in noncommutative towersOn the exceptional zeros of 𝑝-non-ordinary 𝑝-adic 𝐿-functions and a conjecture of Perrin-RiouSELMER GROUPS OF ELLIPTIC CURVES OVER THE EXTENSIONElements of prime order in Tate–Shafarevich groups of abelian varieties over$\mathfrak{M}_H(G)$-property and congruence of Galois representationsMordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensionsEULER SYSTEMS FOR HILBERT MODULAR SURFACESOn the nonvanishing of generalised Kato classes for elliptic curves of rank 2ON FINE SELMER GROUPS AND SIGNED SELMER GROUPS OF ELLIPTIC MODULAR FORMSUnnamed ItemOn the cohomology of Kobayashi’s plus/minus norm groups and applicationsElliptic curves, \(L\)-functions, and Hilbert's tenth problemOn the \(\mu\)-invariant of fine Selmer groupsQuadratic twists of \(X_0(14)\)On $L$-functions of quadratic $\mathbb {Q}$-curvesOn Siegel eigenvarieties at Saito-Kurokawa pointsOn the rank-part of the Mazur-Tate refined conjecture for higher weight modular formsA 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 stabilityOn the soft \(p\)-converse to a theorem of Gross-Zagier and KolyvaginArithmetic Conjectures Suggested by the Statistical Behavior of Modular SymbolsElliptic curves and modularityAsymptotic formula for Tate-Shafarevich groups of \(p\)-supersingular elliptic curves over anticyclotomic extensionsTorsion subgroups of elliptic curves over quintic and sextic number fieldsArithmetic properties of signed Selmer groups at non-ordinary primesOn the Iwasawa theory of CM fields for supersingular primesControl theorems for fine Selmer groupsWeak Leopoldt's conjecture for Hecke characters of imaginary quadratic fieldsRational points on algebraic curves in infinite towers of number fieldsMordell–Weil ranks of elliptic curves in the cyclotomic ℤ2-extension of the rationalsTorsion points on elliptic curves over number fields of small degreeOn certain 𝐿-functions for deformations of knot group representationsA generalization of a theorem of Imai and its applications to Iwasawa theoryDetermination of the modular Jacobian varieties \(J_1(M,MN)\) with the Mordell-Weil rank zeroThe Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functionsCongruences with Eisenstein series and -invariantsGOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTSValeur en $2$ de fonctions $L$ de formes modulaires de poids $2$ : théorème de Beilinson expliciteKato's Euler systemOn higher regulators of Siegel threefolds II: the connection to the special valueOn norm relations for Asai–Flach classesOn the Bloch-Kato conjecture for elliptic modular forms of square-free levelGrowth of Fine Selmer Groups in Infinite TowersIwasawa Theory, projective modules, and modular representationsRoot numbers, Selmer groups, and non-commutative Iwasawa theoryPolylogarithm for families of commutative group schemesStatistics for Iwasawa invariants of elliptic curvesThe algebraic \(p\)-adic \(L\)-function and isogeny between families of Galois representationsSymboles de Manin et valeurs de fonctions LUnnamed ItemComputational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curvesIntegral Iwasawa theory of Galois representations for non-ordinary primesBeilinson-Flach elements, Stark units and \(p\)-adic iterated integralsA $p$-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varietiesRegulators of Siegel units and applicationsOn the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensionsVariation of the algebraic λ-invariant over a solvable extensionIwasawa main conjecture for the Carlitz cyclotomic extension and applicationsQuadratic \(\mathbb Q\)-curves, units and Hecke \(L\)-valuesRemarks on Kato's Euler systems for elliptic curves with additive reductionOn the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensionsStructure of the Mordell-Weil group over the ℤ_{𝕡}-extensions\(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and RubinOn the structure of signed Selmer groupsNorm-compatible systems of cohomology classes for GU(2,2)ON THE EULER CHARACTERISTICS OF SIGNED SELMER GROUPSMahler measures of elliptic modular surfacesEISENSTEIN–KRONECKER SERIES VIA THE POINCARÉ BUNDLESpecialization method in Krull dimension two and Euler system theory over normal deformation ringsAlgorithms for the arithmetic of elliptic curves using Iwasawa theoryOn fine Selmer groups and the greatest common divisor of signed and chromatic 𝑝-adic 𝐿-functionsSelmer groups in Iwasawa theory and congruencesRank-two Euler systems for symmetric squaresEquivariant Tamagawa number conjecture for Abelian varieties over global fields of positive characteristicIwasawa theory of the fine Selmer groupOn 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 settingBounding the Iwasawa invariants of Selmer groupsOverview of Some Iwasawa TheoryIntroduction to Skinner-Urban’s Work on the Iwasawa Main Conjecture for GL2On Extra Zeros of p-Adic L-Functions: The Crystalline CaseModular Symbols in Iwasawa TheoryThe p-Adic Height Pairing on Abelian Varieties at Non-ordinary PrimesThe Structure of Selmer Groups of Elliptic Curves and Modular SymbolsOn completely faithful Selmer groups of elliptic curves and Hida deformationsBeilinson-Flach elements and Euler systems II: The Birch-Swinnerton-Dyer conjecture for Hasse-Weil-Artin 𝐿-seriesElliptic curves with exceptionally large analytic order of the Tate–Shafarevich groupsCongruences Between Modular Forms and the Birch and Swinnerton-Dyer ConjectureA higher rank Euler system for Gm over a totally real fieldOn universal norms for $p$-adic representations in higher-rank Iwasawa theoryRank parity for congruent supersingular elliptic curvesRégulateurs modulaires explicites via la méthode de Rogers–ZudilinZeta morphisms for rank two universal deformations




This page was built for publication: