36 citations · 74 across the 5 of their papers we have counts for
7 papers
LatticePolytopes: A package for computations with lattice polytopes in Macaulay2
Anders Lundman, Gustav Sædén Ståhl
We introduce the package LatticePolytopes for Macaulay2. The package provides methods for computations related to Cayley structures, local positivity and smoothness for lattice pol…
Multidimensional Persistence and Noise
Martina Scolamiero, Wojciech Chachólski, Anders Lundman +2
In this paper we study multidimensional persistence modules [5,13] via what we call tame functors and noise systems. A noise system leads to a pseudo-metric topology on the categor…
A note on higher order Gauss maps
Sandra Di Rocco, Kelly Jabbusch, Anders Lundman
We study Gauss maps of order , associated to a projective variety embedded in projective space via a line bundle We show that if is a smooth, complete complex varie…
Bounded Negativity and Arrangements of Lines
Thomas Bauer, Sandra Di Rocco, Brian Harbourne +4
The Bounded Negativity Conjecture predicts that for any smooth complex surface there exists a lower bound for the selfintersection of reduced divisors on . This conjecture i…
The effect of points fattening on Hirzebruch surfaces
Sandra Di Rocco, Anders Lundman, Tomasz Szemberg
The purpose of this note is to study initial sequences of zero-dimensional subschemes of Hirzebruch surfaces and classify subschemes whose initial sequence has the minimal possible…
Local positivity of line bundles on smooth toric varieties and Cayley polytopes
Anders Lundman
For any non-negative integer the -th osculating dimension at a given point of a variety embedded in projective space gives a measure of the local positivity of order…