Stable n-pointed Curves

Part of the Progress in Mathematics book series (PM, volume 249)


Our main object of study will be the spaces \( \overline M _{0,n} (\mathbb{P}^r ,d)\) of stable maps, whose introduction we defer to Section 2.3. Many of the properties of these spaces are inherited from \( \overline M _{0,n}\), the important Deligne-Mumford-Knudsen moduli space of stable n-pointed rational curves which are the subject of this first chapter. We shall not go into the detail of the construction of \( \overline M _{0,n}\), but content ourselves with the cases n≤5. The combinatorics of the boundary deserves a careful description. The principal reference for this chapter is Knudsen [51]; see also Keel [47].


Modulus Space Marked Point Exceptional Divisor Rational Curf Universal Family 
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© Birkhäuser Boston 2007

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