5 papers · 1 filter
A condensed proof of the pro-étale and étale exodromy theorems
Remy van Dobben de Bruyn
The exodromy correspondence of Barwick, Glasman, and Haine computes constructible sheaves of spaces on a scheme as an -category of continuous functors from the profinit…
Constructible sheaves on toric varieties
Remy van Dobben de Bruyn
This paper gives an explicit computation of the category of constructible sheaves on a toric variety (with respect to the stratification by torus orbits). Over the complex numbers,…
Grothendieck Galois theory and étale exodromy
Remy van Dobben de Bruyn
Finite étale covers of a connected scheme are parametrised by the étale fundamental group via the monodromy correspondence. This was generalised to an exodromy correspondence f…
Automorphisms of categories of schemes
Remy van Dobben de Bruyn
Given two schemes and , we prove that every equivalence between and comes from a unique isomorphism between and . This eliminat…
A variety that cannot be dominated by one that lifts
Remy van Dobben de Bruyn
We prove a precise version of a theorem of Siu and Beauville on morphisms to higher genus curves, and use it to show that if a variety in characteristic lifts to characteri…