Real Tropical Hyperfaces by Patchworking in polymake
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Publication:5039573
DOI10.1007/978-3-030-52200-1_20zbMath1506.14002arXiv2003.06326OpenAlexW3011444090WikidataQ117245031 ScholiaQ117245031MaRDI QIDQ5039573
Publication date: 13 October 2022
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.06326
Geometric aspects of tropical varieties (14T20) Computational aspects of algebraic surfaces (14Q10) Software, source code, etc. for problems pertaining to algebraic geometry (14-04) Hypersurfaces and algebraic geometry (14J70)
Related Items
A polyhedral homotopy algorithm for real zeros, A tropical count of real bitangents to plane quartic curves, Computing tropical bitangents to smooth quartic curves in polymake
Uses Software
Cites Work
- Triangulations. Structures for algorithms and applications
- From the sixteenth Hilbert problem to tropical geometry
- Critical points of real polynomials and topology of real algebraic \(T\)-surfaces
- Parallel enumeration of triangulations
- Cellular sheaf cohomology in polymake
- Viro theorem and topology of real and complex combinatorial hypersurfaces.
- Algorithms for tight spans and tropical linear spaces
- Computing convex hulls and counting integer points with \texttt{polymake}
- Patchworking algebraic curves disproves the Ragsdale conjecture
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