Jell, Philipp and Markwig, Hannah and Rincon, Felipe and Schroter, Benjamin (2022) Moduli Spaces of Co dimension-One Subspaces in a Linear Variety and their Tropicalization. ELECTRONIC JOURNAL OF COMBINATORICS, 29 (2): E10674. ISSN 1077-8926
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We study the moduli space of d-dimensional linear subspaces contained in a fixed (d + 1)-dimensional linear variety X, and its tropicalization. We prove that these moduli spaces are linear subspaces themselves, and thus their tropicalization is completely determined by their associated (valuated) matroids. We show that these matroids can be interpreted as the matroid of lines of the hyperplane arrangement corresponding to X, and generically are equal to a Dilworth truncation of the free matroid. In this way, we can describe combinatorially tropicalized Fano schemes and tropicalizations of moduli spaces of stable maps of degree 1 to a plane.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STABLE MAPS; GEOMETRY |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Feb 2024 10:33 |
| Last Modified: | 07 Feb 2024 10:33 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57228 |
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