2 papers
math.NT2026
Quaternionic Kolyvagin systems and Iwasawa theory for Hida families
Francesco Zerman
We build a modified universal Kolyvagin system for the Galois representation attached to a Hida family of modular forms, starting from the big Heegner point Euler system of Longo--…
math.NT2026
On anticyclotomic Euler and Kolyvagin systems
Luca Mastella, Francesco Zerman
We introduce an axiomatization of the notion of ( -complete) anticyclotomic Euler system for a wide class of Galois representations, including those attached to a cuspidal eigen…