2 citations · 3 across the 6 of their papers we have counts for
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Log-crystalline representations and -modules
Abhinandan, Denis Benois
Let be an absolutely unramified mixed characteristic local field with rings of integers . For a small affine algebra over , we consider the logarithmic étale fund…
Prismatic -crystals and Wach modules
Abhinandan
We show that the category of analytic/completed prismatic -crystals on the absolute prismatic site of a small (unramified at ) base ring is naturally equivalent to the catego…
Crystalline part of the Galois cohomology of crystalline representations
Abhinandan
For and an unramified extension with perfect residue field, we define a syntomic complex with coefficients in a Wach module over a certain period r…
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…
Syntomic complex and -adic nearby cycles
Abhinandan
In local relative -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-…
Crystalline representations and Wach modules in the relative case
Abhinandan
We study the notion of Wach modules in relative setting, generalizing the arithmetic case. Over an unramified base, for a -adic representation admitting such structure, we exami…