LatticePolytopes: A package for computations with lattice polytopes in Macaulay2
Anders Lundman, Gustav S{\ae}d\'en St{\aa}hl
TL;DR
LatticePolytopes is a Macaulay2 package that facilitates computations involving lattice polytopes, including Cayley structures, local positivity, and smoothness, aiding researchers in algebraic geometry.
Contribution
The paper introduces a new Macaulay2 package that offers specialized computational tools for lattice polytopes, enhancing research capabilities in algebraic geometry.
Findings
Provides methods for Cayley structures
Enables analysis of local positivity and smoothness
Facilitates complex lattice polytope computations
Abstract
We introduce the package LatticePolytopes for Macaulay2. The package provides methods for computations related to Cayley structures, local positivity and smoothness for lattice polytopes.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Advanced Combinatorial Mathematics · Algebraic Geometry and Number Theory