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math.NT2024★ 1 cited
On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic -towers
Antonio Lei, Luca Mastella, Luochen Zhao
Let be an odd prime number and let be an imaginary quadratic field in which is split. Let be a modular form with good reduction at . We study the variation of th…
math.NT2024
The growth of Tate-Shafarevich groups of -supersingular elliptic curves over anticyclotomic -extensions at inert primes
Erman Isik, Antonio Lei
Let be an elliptic curve defined over , and let be an imaginary quadratic field. Consider an odd prime at which has good supersingular reduction with $a…
math.NT2024
Artin formalism for -adic -functions of modular forms at non-ordinary primes
Antonio Lei
Let be an odd prime number. Let be a normalized Hecke eigen-cuspform that is non-ordinary at . Let be an imaginary quadratic field in which splits. We study the…