2 citations · 2 across the 3 of their papers we have counts for
4 papers
Plectic p-adic invariants
Michele Fornea, Xavier Guitart, Marc Masdeu
For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of p-adic primes, we define new p-adic invariants. Insp…
A quaternionic construction of -adic singular moduli
Xavier Guitart, Marc Masdeu, Xavier Xarles
Rigid meromorphic cocycles were introduced by Darmon and Vonk as a conjectural -adic extension of the theory of singular moduli to real quadratic base fields. They are certain c…
Special values of triple-product -adic -functions and non-crystalline diagonal classes
Francesca Gatti, Xavier Guitart, Marc Masdeu +1
The main purpose of this note is to understand the arithmetic encoded in the special value of the -adic -function associat…
Elementary Matrix Decomposition and The Computation of Darmon Points with Higher Conductor
Xavier Guitart, Marc Masdeu
We extend the algorithm of Darmon-Green and Darmon-Pollack for computing p-adic Darmon points on elliptic curves to the case of composite conductor. We also extend the algorithm of…