a-tint: A polymake extension for algorithmic tropical intersection theory. In this paper we study algorithmic aspects of tropical intersection theory. We analyze how divisors and intersection products on tropical cycles can actually be computed using polyhedral geometry. The main focus of this paper is the study of moduli spaces, where the underlying combinatorics of the varieties involved allow a much more efficient way of computing certain tropical cycles. The algorithms discussed here have been implemented in an extension for polymake, a software for polyhedral computations.
Keywords for this software
References in zbMATH (referenced in 11 articles )
Showing results 1 to 11 of 11.
- Geiger, Alheydis: On realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form (2020)
- Joswig, Michael; Panizzut, Marta; Sturmfels, Bernd: The Schläfli Fan (2020)
- Gathmann, Andreas; Markwig, Hannah; Ochse, Dennis: Tropical moduli spaces of stable maps to a curve (2017)
- Gathmann, Andreas; Ochse, Dennis: Moduli spaces of curves in tropical varieties (2017)
- Hampe, Simon: The intersection ring of matroids (2017)
- Hampe, Simon; Joswig, Michael: Tropical computations in \textttpolymake (2017)
- Janko Boehm, Wolfram Decker, Simon Keicher, Yue Ren: Current Challenges in Developing Open Source Computer Algebra Systems (2017) arXiv
- Böhm, Janko; Decker, Wolfram; Keicher, Simon; Ren, Yue: Current challenges in developing open source computer algebra systems (2016)
- Jensen, Anders; Yu, Josephine: Stable intersections of tropical varieties (2016)
- Hampe, Simon: Combinatorics of tropical Hurwitz cycles (2015)
- Hampe, Simon: a-tint: a polymake extension for algorithmic tropical intersection theory (2014)