The Effective Cone of the Kontsevich Moduli Space
2008 ◽
Vol 51
(4)
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pp. 519-534
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Keyword(s):
AbstractIn this paper we prove that the cone of effective divisors on the Kontsevich moduli spaces of stable maps, , stabilize when r ≥ d. We give a complete characterization of the effective divisors on . They are non-negative linear combinations of boundary divisors and the divisor of maps with degenerate image.