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.NT2026
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,…
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…