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Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions

Tôhoku mathematical journal, 2017-12, Vol.69 (4)

Lei, Antonio

2017

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Iwasawa theory for modular forms at supersingular primes

Compositio mathematica, 2011-05, Vol.147 (3), p.803-838

Lei, Antonio

2011

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On fine Selmer groups and the greatest common divisor of signed and chromatic p-adic L-functions

Proceedings of the American Mathematical Society, 2021-08, Vol.149 (8), p.3235

2021

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Congruences modulo p between \rho-twisted Hasse-Weil L-values

Transactions of the American Mathematical Society, 2018-11, Vol.370 (11), p.8047-8080, Article 8047

2018

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Rank-two Euler systems for symmetric squares

Transactions of the American Mathematical Society, 2019-12, Vol.372 (12), p.8605-8619

2019

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CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION

Forum of mathematics. Sigma, 2019, Vol.7, Article e25

2019

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On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

Proceedings of the American Mathematical Society. Series B, 2020-02, Vol.7 (1), p.1-16

2020

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Algebraic structure and characteristic ideals of fine Mordell–Weil groups and plus/minus Mordell–Weil groups

Mathematische Zeitschrift, 2023, Vol.303 (1), Article 14

Lei, Antonio

2023

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A remark on the characteristic elements of anticyclotomic Selmer groups of elliptic curves with complex multiplication at supersingular primes

Quarterly journal of mathematics, 2023-12, Vol.74 (4), p.1481-1487

Lei, Antonio

2023

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EULER SYSTEMS FOR HILBERT MODULAR SURFACES

Forum of mathematics. Sigma, 2018, Vol.6, Article e23

2018

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Coleman maps for modular forms at supersingular primes over Lubin–Tate extensions

Journal of number theory, 2010-10, Vol.130 (10), p.2293-2307

Lei, Antonio

2010

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The vanishing of anticyclotomic μ -invariants for non-ordinary modular forms

Comptes rendus. Mathématique, 2023, Vol.361 (G1), p.65-72

2023

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Arithmetic properties of signed Selmer groups at non-ordinary primes

Annales de l'Institut Fourier, 2019, Vol.69 (3), p.1259-1294

2019

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Estimating class numbers over metabelian extensions

Acta arithmetica, 2017, Vol.180 (4), p.347-364

Lei, Antonio

2017

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On fine Selmer groups and the greatest common divisor of signed and chromatic -adic -functions

Proceedings of the American Mathematical Society, 2021-08, Vol.149 (8), p.3235-3243

2021

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Growth of $p$-parts of ideal class groups and fine Selmer groups in $\mathbb Z_q$-extensions with $p\ne q

Acta arithmetica, 2023, Vol.207 (4), p.297-313

2023

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Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II

Journal of number theory, 2021-12, Vol.229, p.342-363

2021

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Congruences between Ramanujan’s tau function and elliptic curves, and Mazur–Tate elements at additive primes

The Ramanujan journal, 2022-06, Vol.58 (2), p.505-522

2022

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On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting

Publicacions matemàtiques, 2022, Vol.66, p.571-630

2022

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Lambda-invariants of Mazur–Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series

Research in number theory, 2024, Vol.10 (2)

2024

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On Certain Probabilistic Properties of Polynomials over the Ring of p-adic Integers

The American mathematical monthly, 2020-07, Vol.127 (6), p.519-529

2020

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The non-$$\ell $$-part of the number of spanning trees in abelian $$\ell $$-towers of multigraphs

Research in number theory, 2023-03, Vol.9 (1), Article 18

2023

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Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes

Research in the mathematical sciences, 2023-03, Vol.10 (1), Article 1

2023

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Studying Hilbert’s 10th problem via explicit elliptic curves

Mathematische annalen, 2024-05

2024

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Wach Modules and Iwasawa Theory for Modular Forms

The Asian journal of mathematics, 2010, Vol.14 (4), p.475-528

2010

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Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions

Iwasawa theory for modular forms at supersingular primes

On fine Selmer groups and the greatest common divisor of signed and chromatic p-adic L-functions

Congruences modulo p between \rho-twisted Hasse-Weil L-values

Rank-two Euler systems for symmetric squares

CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION

On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

Algebraic structure and characteristic ideals of fine Mordell–Weil groups and plus/minus Mordell–Weil groups

A remark on the characteristic elements of anticyclotomic Selmer groups of elliptic curves with complex multiplication at supersingular primes

EULER SYSTEMS FOR HILBERT MODULAR SURFACES

Coleman maps for modular forms at supersingular primes over Lubin–Tate extensions

The vanishing of anticyclotomic μ -invariants for non-ordinary modular forms

Arithmetic properties of signed Selmer groups at non-ordinary primes

Estimating class numbers over metabelian extensions

On fine Selmer groups and the greatest common divisor of signed and chromatic -adic -functions

Growth of $p$-parts of ideal class groups and fine Selmer groups in $\mathbb Z_q$-extensions with $p\ne q

Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II

Congruences between Ramanujan’s tau function and elliptic curves, and Mazur–Tate elements at additive primes

On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting

Lambda-invariants of Mazur–Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series

On Certain Probabilistic Properties of Polynomials over the Ring of p-adic Integers

The non-$$\ell $$-part of the number of spanning trees in abelian $$\ell $$-towers of multigraphs

Iwasawa theory of automorphic representations of $$\textrm{GL}_{2n}$$ at non-ordinary primes

Studying Hilbert’s 10th problem via explicit elliptic curves

Wach Modules and Iwasawa Theory for Modular Forms

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