Log Minimal Model Program for the Kontsevich Space of Stable Maps $\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$

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dc.creatorChen, Dawei
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:30Z
dc.date.available2026-07-07T08:27:30Z
dc.descriptionThis work is inspired by conversations with Izzet Coskun and Joe Harris. We run the log minimal model program for the Kontsevich space of stable maps $\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ and give modular interpretations to all the intermediate spaces appearing in the process. In particular, we show that one component of the Hilbert scheme $\mathcal H_{3,0,3}$ is the flip of $\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ over the Chow variety. Finally as an easy corollary we obtain that $\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$ is a Mori dream space.
dc.description13 pages, 3 figures, comments are welcome
dc.identifierhttps://arxiv.org/abs/0709.0438
dc.identifierhttp://arxiv.org/abs/0709.0438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137295
dc.subjectAlgebraic Geometry
dc.subject14E30; 14H50; 14C05
dc.titleLog Minimal Model Program for the Kontsevich Space of Stable Maps $\bar{\mathcal M}_{0,0}(\mathbb P^{3}, 3)$
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