9 citations · 43 across the 24 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.NT2022
The Tamagawa number conjecture and Kolyvagin's conjecture for motives of modular forms
Matteo Longo, Stefano Vigni
Assuming specific instances of two general conjectures in arithmetic algebraic geometry (bijectivity of -adic regulator maps, injectivity of -adic Abel-Jacobi maps), we prove…
math.NT2022
Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg -values in Hida families
Chan-Ho Kim, Matteo Longo
The aim of this paper is to prove the two-variable anticyclotomic Iwasawa main conjecture for Hida families and a definite version of the horizontal non-vanishing conjecture, which…
math.NT2022
An explicit comparison of anticyclotomic -adic -functions for Hida families
Chan-Ho Kim, Matteo Longo
The aim of this note is to compare several anticyclotomic -adic -functions for modular forms and -adic families of ordinary modular forms, which have been defined and stud…