3 papers
math.NT2026
New perspectives on -adic regulator formulae
Ting-Han Huang, Ananyo Kazi, Luca Marannino
Inspired by the pullback method in the recent work of Sangiovanni-Vincentelli--Skinner, we reconstruct the diagonal class of Darmon--Rotger. Moreover, we reinterpret the computatio…
math.NT2025
Diagonal cycles and anticyclotomic twists of modular forms at inert primes
Luca Marannino
We revisit the construction of Castella and Do of an anticyclotomic Euler system for the -adic Galois representation of a modular form, using diagonal classes. Combining this co…
math.NT2024
Explicit reciprocity laws for diagonal classes: higher level cases
Luca Marannino
We generalize the -adic explicit reciprocity laws for balanced diagonal classes by Darmon--Rotger and Bertolini--Seveso--Venerucci to the case of geometric balanced triples $(f,…