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1. CMB 2008 (vol 51 pp. 519)

Coskun, Izzet; Harris, Joe; Starr, Jason
The Effective Cone of the Kontsevich Moduli Space
In this paper we prove that the cone of effective divisors on the Kontsevich moduli spaces of stable maps, $\Kgnb{0,0}(\PP^r,d)$, stabilize when $r \geq d$. We give a complete characterization of the effective divisors on $\Kgnb{0,0}(\PP^d,d)$. They are non-negative linear combinations of boundary divisors and the divisor of maps with degenerate image.

Categories:14D20, 14E99, 14H10

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