15 citations · 43 across the 11 of their papers we have counts for
13 papers
Hirzebruch-Zagier cycles in -adic families and adjoint -values
Antonio Cauchi, Marc-Hubert Nicole, Giovanni Rosso
Let be a quadratic extension of totally real number fields. We show that the generalized Hirzebruch-Zagier cycles arising from the associated Hilbert modular varieties can be…
Perfectoid Drinfeld Modular Forms
Marc-Hubert Nicole, Giovanni Rosso
In the first part, we revisit the theory of Drinfeld modular curves and -adic Drinfeld modular forms for GL(2) from the perfectoid point of view. In the second part, we review o…
-adic Families of Jacobi Forms
Matteo Longo, Marc-Hubert Nicole
We show that Hida's families of -adic elliptic modular forms generalize to -adic families of Jacobi forms. We also construct -adic versions of theta lifts from elliptic mo…
The -adic variation of the Gross-Kohnen-Zagier theorem
Matteo Longo, Marc-Hubert Nicole
We relate -adic families of Jacobi forms to Big Heegner points constructed by B. Howard, in the spirit of the Gross-Kohnen-Zagier theorem. We view this as a GL(2) instance of a…
The μ-ordinary Hasse invariant of unitary Shimura varieties
Wushi Goldring, Marc-Hubert Nicole
We construct a generalization of the Hasse invariant for any Shimura variety of PEL type A over a prime of good reduction, whose vanishing locus is the open and dense μ-ordinary lo…
A μ-ordinary Hasse invariant
Wushi Goldring, Marc-Hubert Nicole
We construct a generalization of the Hasse invariant for certain unitary Shimura varieties of PEL type whose vanishing locus is the complement of the so-called μ-ordinary locus. We…