A polygonal presentation of $Picoverline{mathfrak{M}} {0,n}$ - Mathematics > Algebraic Geometry

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Abstract: In the first section of this article, we recall Keel-s well-knownpresentation of $Pic\overline{\mathfrak{M}} {0,n}$ using irreducible boundarydivisors of $\overline{\mathfrak{M}} {0,n}$ as generators, and describe a basisfor $Pic\overline{\mathfrak{M}} {0,n}$ recently discovered by Keel andGibney. In the second section, we present a theorem which gives an explicit andvery simple expression for every boundary divisor in terms of this basis,thereby yielding a new presentation with a minimal set of relations.

Author: Sarah Carr

Source: https://arxiv.org/