20 citations · 79 across the 26 of their papers we have counts for
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Fundamental groups of proper varieties are finitely presented
Marcin Lara, Vasudevan Srinivas, Jakob Stix
It was recently proven by Esnault, Shusterman and the second named author, that the étale fundamental group of a connected smooth projective variety over an algebraically closed fi…
Convex Fujita numbers are not determined by the fundamental group
Jiaming Chen, Alex Küronya, Yusuf Mustopa +1
We study effective global generation of adjoint line bundles on smooth projective varieties. To measure the effectivity we introduce the concept of the convex Fujita number of a sm…
An obstruction to lifting to characteristic
Hélène Esnault, Vasudevan Srinivas, Jakob Stix
We introduce a new obstruction to lifting smooth proper varieties in characteristic to characteristic . It is based on Grothendieck's specialization homomorphism and the r…
Étale contractible varieties in positive characteristic
Armin Holschbach, Johannes Schmidt, Jakob Stix
Unlike in characteristic 0, there are no non-trivial smooth varieties over an algebraically closed field k of characteristic p>0 that are contractible in the sense of etale homotop…
Lifting Galois sections along torsors
Niels Borne, Michel Emsalem, Jakob Stix
The cuspidalization conjecture, which is a consequence of Grothendieck's section conjecture, asserts that for any smooth hyperbolic curve over a finitely generated field of…
On the birational section conjecture with local conditions
Jakob Stix
A birationally liftable Galois section s of a hyperbolic curve X/k over a number field k yields an adelic point x(s) in the smooth completion of X. We show that x(s) is X-integral…