Towards Mori's program for the moduli space of stable maps

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dc.creatorChen, Dawei
dc.creatorCoskun, Izzet
dc.creatorCrissman, Charley
dc.date2009-05-18
dc.date.accessioned2026-07-07T13:16:04Z
dc.date.available2026-07-07T13:16:04Z
dc.descriptionWe introduce and compute the class of a number of effective divisors on the moduli space of stable maps $\bar M_{0,0}(P^{r},d)$, which, for small d, provide a good understanding of the extremal rays and the stable base locus decomposition for the effective cone. We also discuss various birational models that arise in Mori's program, including the Hilbert scheme, the Chow variety, the space of $k$-stable maps, the space of branchcurves and the space of semi-stable sheaves.
dc.descriptionMain paper by Chen and Coskun, with a Macaulay 2 program in the appendix by Crissman to verify certain moving curves
dc.identifierhttps://arxiv.org/abs/0905.2947
dc.identifierhttp://arxiv.org/abs/0905.2947
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230674
dc.subjectAlgebraic Geometry
dc.subject14E05; 14E30; 14D22; 14H10
dc.titleTowards Mori's program for the moduli space of stable maps
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