4 papers
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…
-adic Asai and twisted triple product -functions for finite slope families
Ananyo Kazi, David Loeffler
We define a two-variable -adic Asai -function for a finite-slope family of Hilbert modular forms over a real quadratic field (with one component of the weight, and the cyclot…
A -adic Gross-Zagier formula for twisted triple product -adic -functions attached to finite slope families
Ting-Han Huang, Ananyo Kazi
Our main objective in the present paper is to generalise the work of Blanco-Chacón and Fornea on the -adic Gross-Zagier formula for twisted triple product -aidc -function.…
Twisted Triple Product -adic -function for Finite Slope Families of Hilbert Modular Forms
Ananyo Kazi
Let be a totally real field, and be a rational prime that is unramified in . We construct overconvergent families of classes of relative de Rham cohomology of the univer…