2 citations · 2 across the 4 of their papers we have counts for
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Evaluation of Bianchi Rigid Meromorphic Cocycles at Big ATR Points
Lennart Gehrmann, Xavier Guitart, Marc Masdeu
We develop the tools required to effectively evaluate the Bianchi rigid meromorphic cocycles introduced by Darmon-Gehrmann-Lipnowski at big ATR points, and use them to obtain the f…
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…