On Shafarevich-Tate groups and analytic ranks in families of modular forms. I: Hida families (Q6638222)

scientific article; zbMATH DE number 7944260

Language	Label	Description	Also known as
English	On Shafarevich-Tate groups and analytic ranks in families of modular forms. I: Hida families	scientific article; zbMATH DE number 7944260

Statements

instance of

scholarly article

0 references

title

On Shafarevich-Tate groups and analytic ranks in families of modular forms. I: Hida families (English)

0 references

author

Stefano Vigni

0 references

published in

Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V

0 references

publication date

14 November 2024

0 references

0 references

0 references

Hida families and rational points on elliptic curves

0 references

The rationality of Stark-Heegner points over genus fields of real quadratic fields

0 references

Generalized Heegner cycles and $p$-adic Rankin $L$-series. With an appendix by Brian Conrad

0 references

Q3795767

0 references

Height pairings for algebraic cycles

0 references

Q3972724

0 references

Q5719099

0 references

On Zagier's conjecture for base changes of elliptic curves

0 references

Nonvanishing theorems for L-functions of modular forms and their derivatives

0 references

Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert

0 references

ON THE -ADIC VARIATION OF HEEGNER POINTS

0 references

Variation of anticyclotomic Iwasawa invariants in Hida families

0 references

The Iwasawa main conjectures for $\operatorname{GL}_2$ and derivatives of $p$-adic $L$-functions

0 references

On the Zero Locus of Normal Functions and the Etale Abel-Jacobi Map

0 references

Q4249385

0 references

Formes modulaires de poids $1$

0 references

Variation of Iwasawa invariants in Hida families

0 references

On the image of $\Lambda$-adic Galois representations

0 references

A generalisation of the Cassel-Tate pairing.

0 references

Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms

0 references

Q5703063

0 references

Locally Indecomposable Galois Representations

0 references

Arithmetic intersection theory

0 references

Q4297055

0 references

On the Birch and Swinnerton-Dyer conjecture

0 references

On the critical values of Hecke $L$-functions for imaginary quadratic fields

0 references

Q4296936

0 references

$p$-adic $L$-functions and $p$-adic periods of modular forms

0 references

Q3972775

0 references

On the local divisibility of Heegner points

0 references

Heegner points and derivatives of $L$-series

0 references

A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I

0 references

Galois representations into $\text{GL}_2(\mathbb Z_p[[X]])$ attached to ordinary cusp forms.

0 references

Iwasawa modules attached to congruences of cusp forms

0 references

Q4695321

0 references

Q4490714

0 references

Central derivatives of $L$-functions in Hida families

0 references

Variation of Heegner points in Hida families

0 references

Congruences Between Systems of Eigenvalues of Modular Forms

0 references

Rankin-Eisenstein classes and explicit reciprocity laws

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Quaternion algebras, Heegner points and the arithmetic of Hida families

0 references

A NOTE ON CONTROL THEOREMS FOR QUATERNIONIC HIDA FAMILIES OF MODULAR FORMS

0 references

Vanishing of special values and central derivatives in Hida families

0 references

A refined Beilinson–Bloch conjecture for motives of modular forms

0 references

Kolyvagin systems and Iwasawa theory of generalized Heegner cycles

0 references

On Bloch-Kato Selmer groups and Iwasawa theory of $p$-adic Galois representations

0 references

On the structure of Selmer and Shafarevich–Tate groups of even weight modular forms

0 references

Rational isogenies of prime degree. (With an appendix by D. Goldfeld)

0 references

On $p$-adic analogues of the conjectures of Birch and Swinnerton-Dyer

0 references

Galois representations, Kähler differentials and ``main conjectures''

0 references

Q3871006

0 references

Q3741712

0 references

Q4693061

0 references

Mean values of derivatives of modular $L$-series

0 references

Kolyvagin's method for Chow groups and Kuga-Sato varieties

0 references

On the $p$-adic height of Heegner cycles

0 references

Q4948698

0 references

Q3445733

0 references

On the parity of ranks of Selmer groups

0 references

On the image of $p$-adic regulators

0 references

Big Heegner points and generalized Heegner cycles

0 references

Endomorphisms of semi-stable Abelian varieties over number fields

0 references

Q4137253

0 references

Twists of modular forms and endomorphisms of abelian varieties

0 references

on <i>l</i>-adic representations attached to modular forms II

0 references

On $L$-functions of elliptic curves and anticyclotomic towers

0 references

On $L$-functions of elliptic curves and cyclotomic towers

0 references

L-functions and division towers

0 references

Modular forms and $p$-adic Hodge theory

0 references

Q4952455

0 references

Q5283607

0 references

Motives for modular forms

0 references

Q4371079

0 references

Q5625265

0 references

A converse to a theorem of Gross, Zagier, and Kolyvagin

0 references

The Iwasawa Main Conjectures for $\mathrm{GL}_{2}$

0 references

Q4002219

0 references

Q5587673

0 references

Relations between $K_2$ and Galois cohomology

0 references

On the $p$-converse of the Kolyvagin-Gross-Zagier theorem

0 references

Q3682555

0 references

On ordinary $\lambda$-adic representations associated to modular forms

0 references

Gross-Kohnen-Zagier theorem for higher weight forms

0 references

Heights of Heegner cycles and derivatives of L-series

0 references

Selmer groups and the indivisibility of Heegner points

0 references

Identifiers

DOI

10.2422/2036-2145.202206_011

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6638222