92 citations · 156 across the 30 of their papers we have counts for
32 papers
-adic families of diagonal cycles
Henri Darmon, Victor Rotger
This note provides the construction of a three-variable family of cohomology classes arising from diagonal cycles on a triple product of towers of modular curves, and proves a reci…
Stark-Heegner points and diagonal classes
Henri Darmon, Victor Rotger
Stark-Heegner points are conjectural substitutes for Heegner points when the imaginary quadratic field of the theory of complex multiplication is replaced by a real quadratic field…
The derived Hecke algebra for dihedral weight one forms
Henri Darmon, Michael Harris, Victor Rotger +1
We study the action of the derived Hecke algebra in the setting of dihedral weight one forms, and prove a conjecture of the second- and fourth- named authors relating this action t…
Kolyvagin classes versus non-cristalline diagonal classes
Francesca Gatti, Victor Rotger
Let be an elliptic curve having multiplicative reduction at a prime . Let be a pair of eigenforms of weight arising as the theta series of an imaginar…
Motivic congruences and Sharifi's conjecture
Óscar Rivero, Victor Rotger
Let be a cuspidal eigenform of weight two and level , let be a prime at which is congruent to an Eisenstein series and let denote the -adic Tate modu…
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…