Abhinandan

collaborators

4 papers

math.NT2026

Prismatic $F$ -crystals and Wach modules

Abhinandan

We show that the category of analytic/completed prismatic $F$ -crystals on the absolute prismatic site of a small (unramified at $p$ ) base ring is naturally equivalent to the catego…

math.NT2025

Crystalline representations and Wach modules in the relative case II

Abhinandan

We study relative Wach modules generalising our previous works on this subject. Our main result shows a categorical equivalence between relative Wach modules and lattices inside re…

math.NT2025

Crystalline part of the Galois cohomology of crystalline representations

Abhinandan

For $p ⩾ 3$ and an unramified extension $F / Q_{p}$ with perfect residue field, we define a syntomic complex with coefficients in a Wach module over a certain period r…

math.NT2025

Syntomic complex and $p$ -adic nearby cycles

Abhinandan

In local relative $p$ -adic Hodge theory, we show that the Galois cohomology of a finite height crystalline representation (up to a twist) is essentially computed via the (Fontaine-…

Prismatic F-crystals and Wach modules

Crystalline representations and Wach modules in the relative case II

Crystalline part of the Galois cohomology of crystalline representations

Syntomic complex and p-adic nearby cycles

Prismatic $F$ -crystals and Wach modules

Syntomic complex and $p$ -adic nearby cycles