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Results tagged with tropical-geometry
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user 5740
For questions about tropical geometry, piece-wise linear functions with integer slopes, tropical degenerations and applications of tropical geometry, max-plus algebra, and tropical semifields.
5
votes
Is anything known about the enumeration of degree d, genus g curves in CP^2 where g >1 ?
There is a combinatorial formula for the number of geometric genus $g$ curves of degree $d$ (possibly reducible) passing through $3d-1+g$ generic points of $\mathbb{P}^2$ (or a more general toric surf …
- 14.5k
8
votes
Accepted
Has this generalization of a determinant (assigning multiplicities to the rows) been studied?
Summary
There is a clear connection to the permanent, which, if I understand correctly, yields the same tropicalization, and a more speculative connection to the determinant. The reason is that OP's f …
- 14.5k