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- W4288601459 abstract "By definition, the del Pezzo 3-fold $$V_5$$ is the intersection of $${mathrm {Gr}}(2,5)$$ with three hyperplanes in $${mathbb {P}}^9$$ under Plücker embedding, and rational curves in $$V_5$$ have been examined in various studies on Fano geometry. In this paper, we propose an explicit birational relation for the Kontsevich and Simpson compactifications of twisted cubic curves in $$V_5$$ . As a direct corollary, we obtain a desingularized model of Kontsevich compactification that induces the intersection cohomology group of Kontsevich’s space." @default.
- W4288601459 created "2022-07-29" @default.
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- W4288601459 date "2022-03-23" @default.
- W4288601459 modified "2023-10-06" @default.
- W4288601459 title "Desingularization of Kontsevich’s compactification of twisted cubics in $$V_5$$" @default.
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- W4288601459 doi "https://doi.org/10.1007/s00229-022-01382-2" @default.
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