30 citations · 31 across the 4 of their papers we have counts for
6 papers
Deformations of local Artin rings via Hilbert-Burch matrices
Roser Homs, Anna-Lena Winz
In the local setting, Gröbner cells are affine spaces that parametrize ideals in that share the same leading term ideal with respect to a local term orderin…
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…
Canonical Hilbert-Burch matrices for power series
Roser Homs, Anna-Lena Winz
Sets of zero-dimensional ideals in the polynomial ring that share the same leading term ideal with respect to a given term ordering are known to be affine spaces called Gr…
Immaculate line bundles on toric varieties
Klaus Altmann, Jarosław Buczyński, Lars Kastner +1
We call a sheaf on an algebraic variety immaculate if it lacks any cohomology including the zero-th one, that is, if the derived version of the global section functor vanishes. Suc…
Cellular sheaf cohomology in Polymake
Lars Kastner, Kristin Shaw, Anna-Lena Winz
This chapter provides a guide to our polymake extension cellularSheaves. We first define cellular sheaves on polyhedral complexes in Euclidean space, as well as cosheaves, and thei…
Cities as nuclei of sustainability?
Diego Rybski, Dominik E. Reusser, Anna-Lena Winz +3
We have assembled CO2 emission figures from collections of urban GHG emission estimates published in peer reviewed journals or reports from research institutes and non-governmental…