P. Čoupek

activity

20172024

most citedCotilting Sheaves on Noetherian Schemes

22 citations · 22 across the 3 of their papers we have counts for

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math.NT2024

Ramification bounds via Wach modules and q-crystalline cohomology

Pavel Čoupek

Let $K$ be an absolutely unramified $p$ -adic field. We establish a ramification bound, depending only on the given prime $p$ and an integer $i$ , for mod $p$ Galois representations…

math.NT2024

Constructing vector-valued automorphic forms on unitary groups

Thomas L. Browning, Pavel Čoupek, Ellen Eischen +4

We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy emp…

math.NT2021

Crystalline condition for $A_{inf}$ -cohomology and ramification bounds

Pavel Čoupek

For a prime $p > 2$ and a smooth proper $p$ -adic formal scheme $X$ over $O_{K}$ where $K$ is a $p$ -adic field, we study a series of conditions ( $Cr_{s}$ ), $s \geq 0$ th…

Ramification bounds via Wach modules and q-crystalline cohomology

Constructing vector-valued automorphic forms on unitary groups

Crystalline condition for Ainf​-cohomology and ramification bounds

Crystalline condition for $A_{inf}$ -cohomology and ramification bounds