15 citations · 50 across the 17 of their papers we have counts for
24 papers
Annular Frobenius Classification of p-adic Stieltjes--Schwarzian Equations
Mohammadreza Mohajer, Abdellah Sebbar
We give explicit annular normal forms and classify Frobenius structures for -adic Schwarzian equations defined by developing differentials. For a unit of the Robba ring, reducti…
Higher Schwarzians of Elliptic Double Covers and Eisenstein--Kronecker Functions
Hicham Saber, Abdellah Sebbar
We determine the Aharonov invariants of order at least two of every elliptic double cover by evaluating its projective kernel. In orders at least three, the formula separates the i…
Projective Kernels and Replicability in Modular Function Theory
Hicham Saber, Abdellah Sebbar
We introduce a projective-kernel framework for the study of replicable functions in modular function theory. The main point is that the same two-point kernel simultaneously encodes…
Replication Descent and -Finality of Replicable Functions
Eric Culf, Abdellah Sebbar
We show that replication carries congruence symmetry down an explicit level tower. If a normalized replicable function , holomorphic on the upper half-plane, is invariant under…
Reducible modular differential equations, Jacobi pole divisors, and supersingular lifts
Khalil Besrour, Hicham Saber, Abdellah Sebbar
We study the reducible parameter values of a second-order modular differential equation for the full modular group and show that their pole data is controlled by a single polynomia…
P-adic Period Conjectures for 1-motives: Integration and Linear Relations
Mohammadreza Mohajer, Abdellah Sebbar
We develop a -adic theory of periods for 1-motives, extending the classical theory of complex periods into the non-archimedean setting. For 1-motives with good reduction over $p…