2 citations · 3 across the 7 of their papers we have counts for
8 papers
An Empirically Fast Las Vegas Algorithm for Algebraic Shifting
Antony Della Vecchia, Michael Joswig, Fabian Lenzen
Improved algorithms for computing (partial and full) exterior algebraic shifts of hypergraphs and simplicial complexes are presented. The main benefit is in positive characteristic…
Wronski Pairs of Honeycomb Curves
Laura Casabella, Michael Joswig, Rafael Mohr
We study certain generic systems of real polynomial equations associated with triangulations of convex polytopes and investigate their number of real solutions. Our main focus is s…
Partial Algebraic Shifting
Antony Della Vecchia, Michael Joswig, Fabian Lenzen
We study algebraic shifting of uniform hypergraphs and finite simplicial complexes in the exterior algebra with respect to matrices which are not necessarily generic. Several quest…
Zeros of -characters
Thomas Breuer, Michael Joswig, Gunter Malle
The concept of -characters of finite groups was introduced by Zhmud' as a generalisation of transitive permutation characters. Any non-trivial -character takes a zero value o…
Confirmable Workflows in OSCAR
Michael Joswig, Lars Kastner, Benjamin Lorenz
We discuss what is special about the reproducibility of workflows in computer algebra. It is emphasized how the programming language Julia and the new computer algebra system OSCAR…
Subdivisions of Hypersimplices: with a View Toward Finite Metric Spaces
Laura Casabella, Michael Joswig, Lars Kastner
The secondary fan is a polyhedral fan which stratifies the regular subdivisions of the hypersimplices . We find new infinite families of rays of , and we c…
A FAIR File Format for Mathematical Software
Antony Della Vecchia, Michael Joswig, Benjamin Lorenz
We describe a generic JSON based file format which is suitable for computations in computer algebra. This is implemented in the computer algebra system OSCAR, but we also indicate…
Computing convex hulls and counting integer points with polymake
Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr +4
The main purpose of this paper is to report on the state of the art of computing integer hulls and their facets as well as counting lattice points in convex polytopes. Using the po…