Face enumeration for line arrangements in a 2-torus
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Publication:1701541
DOI10.1007/s13226-017-0234-7zbMath1383.52020arXiv1404.1665OpenAlexW1922728382MaRDI QIDQ1701541
Karthik Chandrasekhar, Priyavrat Deshpande
Publication date: 27 February 2018
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.1665
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Planar graphs; geometric and topological aspects of graph theory (05C10) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial complexity of geometric structures (52C45)
Cites Work
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- On a generalization of Zaslavsky's theorem for hyperplane arrangements
- Affine and toric hyperplane arrangements
- A combinatorial analysis of topological dissections
- Enumeration in torus arrangements
- On the number of domains of maximal dimension in partitions of projective spaces by hyperplane arrangements
- On the number of regions formed by arrangements of closed geodesics on flat surfaces
- Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
- Arrangements of codimension-one submanifolds
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