Luca Studer

activity

20152020

collaborators

5 papers

math.CO2020

An asymptotic version of the union-closed sets conjecture

Luca Studer

We show that the biggest possible average set size in the complement $2^{{1, 2, \dots, n}} ∖ A$ of a union-closed family $A \subset 2^{{1, 2, \dots, n}}$ is $\tfrac{n+1}…

math.CV2019

Exponential factorizations of holomorphic maps

Frank Kutzschebauch, Luca Studer

We show that any element of the special linear group $S L_{2} (R)$ is a product of two exponentials if the ring $R$ is either the ring of holomorphic functions on an open Riemann surfa…

math.MG2019

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 $R^{3}$ . In this note we sho…

math.CV2018

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.

math.GT2015

Note on the distortion of (2,q)-torus knots

Luca Studer

We show that the distortion of the (2,q)-torus knot is not bounded linearly from below.