3 papers
math.AG2026
A Tate-Type Theorem for Crystalline Classes in the 1-Motivic Category
Mohammadreza Mohajer
The Tate conjecture predicts that Galois-invariant classes in -adic cohomology, and Frobenius-invariant classes in crystalline cohomology, arise from algebraic cycles. We pro…
math.NT2025
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…
math.NT2024
Linear relations of p-adic periods of 1-motives (thesis)
Mohammadreza Mohajer
In this thesis, we aim to develop p-adic analogs of known results for classical periods, focusing specifically on 1-motives. We establish an integration theory for 1-motives with g…