6 citations · 9 across the 4 of their papers we have counts for
7 papers
On the crossing number of arithmetic curve systems
Sebastian Baader, Claire Burrin, Luca Studer
We show that the family of systoles of hyperbolic surfaces associated with congruence lattices in have asymptotically minimal crossing number.
An asymptotic version of the union-closed sets conjecture
Luca Studer
We show that the biggest possible average set size in the complement of a union-closed family is $\tfrac{n+1}…
Exponential factorizations of holomorphic maps
Frank Kutzschebauch, Luca Studer
We show that any element of the special linear group is a product of two exponentials if the ring is either the ring of holomorphic functions on an open Riemann surfa…
Distortion of spheres and surfaces in space
Sebastian Baader, Luca Studer, Roger Züst
It is known that the surface of a cone over the unit disc with large height has smaller distortion than the standard embedding of the 2-sphere in . In this note we sho…
A splitting lemma for coherent sheaves
Luca Studer
The presented splitting lemma extends the techniques of Gromov and Forstnerič to glue local sections of a given analytic sheaf, a key step in the proof of all Oka principles. The n…
A homotopy theorem for Oka theory
Luca Studer
We prove a homotopy theorem for sheaves. Its application shortens and simplifies the proof of many Oka principles such as Gromov's Oka principle for elliptic submersions.