Geodesic
The Effective Cone of the Kontsevich Moduli Space
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 519-534

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DOI

In this paper we prove that the cone of effective divisors on the Kontsevich moduli spaces of stable maps, ${{\overline{M}}_{0,0}}\left( {{\mathbb{P}}^{r}},\,d \right)$ , stabilize when $r\,\ge \,d$ . We give a complete characterization of the effective divisors on ${{\overline{M}}_{0,0}}\left( {{\mathbb{P}}^{d}},\,d \right)$ . They are non-negative linear combinations of boundary divisors and the divisor of maps with degenerate image.
DOI : 10.4153/CMB-2008-052-5
Mots-clés : 14D20, 14E99, 14H10 
Coskun, Izzet; Harris, Joe; Starr, Jason. The Effective Cone of the Kontsevich Moduli Space. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 519-534. doi: 10.4153/CMB-2008-052-5
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     title = {The {Effective} {Cone} of the {Kontsevich} {Moduli} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {519--534},
     year = {2008},
     volume = {51},
     number = {4},
     doi = {10.4153/CMB-2008-052-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-052-5/}
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