52 citations · 165 across the 26 of their papers we have counts for
32 papers
Differential operators, anisotropy, and simplicial spheres
Kalle Karu, Matt Larson, Alan Stapledon
We find identities involving differential operators in the generic artinian reduction of the Stanley-Reisner ring of a simplicial sphere in any positive characteristic. These ident…
Mixed volumes of matroids
Andy Hsiao, Kalle Karu, Jonathan Yang
Our aim in this article is to compute the mixed volume of a matroid. We give two computations. The first one is based on the integration formula for complete fans given by Brion. T…
On the anisotropy theorem of Papadakis and Petrotou
Kalle Karu, Elizabeth Xiao
We study the anisotropy theorem for Stanley-Reisner rings of simplicial homology spheres in characteristic 2 by Papadakis and Petrotou. This theorem implies the Hard Lefschetz theo…
Non-existence of negative curves
Javier González-Anaya, José Luis González, Kalle Karu
Let be a projective toric surface of Picard number one blown up at a general point. We bring an infinite family of examples of such whose Kleiman-Mori cone of curves is not…
The geography of negative curves
Javier González-Anaya, José Luis González, Kalle Karu
We study the Mori Dream Space (MDS) property for blowups of weighted projective planes at a general point and, more generally, blowups of toric surfaces defined by a rational plane…
Curves generating extremal rays in blowups of weighted projective planes
Javier González-Anaya, José Luis González, Kalle Karu
We consider blowups at a general point of weighted projective planes and, more generally, of toric surfaces with Picard number one. We give a unifying construction of negative curv…