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Hypertrees, projections, and moduli of stable rational curves

Published 15 Apr 2010 in math.AG | (1004.2553v2)

Abstract: We give a conjectural description for the cone of effective divisors of the Grothendieck-Knudsen moduli space of stable rational curves with n marked points. Namely, we introduce new combinatorial structures called hypertrees and show they give exceptional divisors with many remarkable properties.

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