P. Čoupek

activity

20172024

most citedCotilting Sheaves on Noetherian Schemes

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

collaborators

4 papers

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…

math.AG2017★ 22 cited

Cotilting Sheaves on Noetherian Schemes

Pavel Čoupek, Jan Šťovíček

We develop theory of (possibly large) cotilting objects of injective dimension at most one in general Grothendieck categories. We show that such cotilting objects are always pure-i…

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

Cotilting Sheaves on Noetherian Schemes

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