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- W4308482302 abstract "The prototypical examples of tropical compactifications are compactifications of complements of hyperplane arrangements, which posses a number of remarkable properties not satisfied by more general tropical compactifications of closed subvarieties of tori. We introduce a broader class of tropical compactifications, which we call quasilinear (tropical) compactifications, and which continue to satisfy the desirable properties of compactifications of complements of hyperplane arrangements. In particular, we show any quasilinear compactification is schon, and its intersection theory is described entirely by the intersection theory of the corresponding tropical fan. As applications, we prove the quasilinearity of the moduli spaces of 6 lines in $mathbb{P}^2$ and marked cubic surfaces, obtaining results on the geometry of the stable pair compactifications of these spaces." @default.
- W4308482302 created "2022-11-12" @default.
- W4308482302 creator A5037132241 @default.
- W4308482302 date "2021-12-03" @default.
- W4308482302 modified "2023-09-23" @default.
- W4308482302 title "Quasilinear tropical compactifications" @default.
- W4308482302 doi "https://doi.org/10.48550/arxiv.2112.02062" @default.
- W4308482302 hasPublicationYear "2021" @default.
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