3 citations · 11 across the 11 of their papers we have counts for
14 papers
Regular Flips in mptopcom
Lars Kastner
A triangulation of a point configuration is regular if it can be given by a height function, that is every point gets lifted to a certain height and projecting the lower convex hul…
Toric Geometry in OSCAR
Martin Bies, Lars Kastner
We report on the computer implementation for toric geometry in the computer algebra system . The main architectural feature of is that its four fun…
Research-Data Management Planning in the German Mathematical Community
Tobias Boege, René Fritze, Christiane Görgen +13
In this paper we discuss the notion of research data for the field of mathematics and report on the status quo of research-data management and planning. A number of decentralized a…
Tropical compactification via Ganter's algorithm
Lars Kastner, Kristin Shaw, Anna-Lena Winz
We describe a canonical compactification of a polyhedral complex in Euclidean space. When the recession cones of the polyhedral complex form a fan, the compactified polyhedral comp…
Hyperplane arrangements in polymake
Lars Kastner, Marta Panizzut
Hyperplane arrangements form the latest addition to the zoo of combinatorial objects dealt with by polymake. We report on their implementation and on a algorithm to compute the ass…
The Newton polytope of the discriminant of a quaternary cubic form
Lars Kastner, Robert Loewe
We determine the extremal monomials of the discriminant of a quaternary cubic form. These are in bijection with -equivalence classes of regular triangulations of the…