Tropical computations for toric intersection theory in Macaulay2. (English) Zbl 07878540
The paper is describing the author’s package implemented in Macaulay2 designed for computations in Chow rings of toric varieties. The toric variety is required to be smooth in order to avoid computing its completion. An element of the ring might be given by an ideal of a subvariety.
The implemetation is demonstrated on three examples: (1) so-called wonderful compactification of a quadruple of lines in \(\mathbb{P}^2\), (2) moduli space \(M_{0,n}\), (3) characteristic polynomial of realizable manifolds
All involved computations also come as functions in the package.
The implemetation is demonstrated on three examples: (1) so-called wonderful compactification of a quadruple of lines in \(\mathbb{P}^2\), (2) moduli space \(M_{0,n}\), (3) characteristic polynomial of realizable manifolds
All involved computations also come as functions in the package.
Reviewer: Jana Chalmovianská (Bratislava)
MSC:
| 14Q99 | Computational aspects in algebraic geometry |
| 14T20 | Geometric aspects of tropical varieties |
References:
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