Tropical Computations in polymake
Simon Hampe, Michael Joswig
TL;DR
This paper reviews recent features added to polymake for tropical geometry computations, emphasizing practical examples involving tropical hypersurfaces, moduli spaces, and matroid intersection rings.
Contribution
It introduces new computational tools in polymake for tropical geometry, focusing on explicit examples rather than technical details.
Findings
Implementation of tropical hypersurfaces computations
Analysis of moduli of tropical plane curves
Study of intersection rings of matroids
Abstract
We give an overview of recently implemented polymake features for computations in tropical geometry. The main focus is on explicit examples rather than technical explanations. Our computations employ tropical hypersurfaces, moduli of tropical plane curves, tropical linear spaces and Grassmannians, lines on tropical cubic surfaces as well as intersection rings of matroids
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPolynomial and algebraic computation · Commutative Algebra and Its Applications · Logic, programming, and type systems