Abstract
We study the combinatorics of hyperplane arrangements over arbitrary fields. Specifically, we determine in which situation an arrangement and its reduction modulo a prime number have isomorphic lattices via the use of minimal strong σ-Gröbner bases. Moreover, we prove that the Terao's conjecture over finite fields implies the conjecture over the rationals.
Original language | English (US) |
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Article number | 102202 |
Journal | Advances in Applied Mathematics |
Volume | 128 |
DOIs | |
State | Published - Jul 2021 |
Externally published | Yes |
Keywords
- Combinatorially equivalent
- Hyperplane arrangements
- Lattice of intersections
- Modular methods
- Terao's conjecture
ASJC Scopus subject areas
- Applied Mathematics