Mathematics – Algebraic Geometry
Scientific paper
2002-07-05
Proceedings of 13th Gokova Geometry-Topology Conference (2006). pp 1-38
Mathematics
Algebraic Geometry
38 pages, 7 figures, minor grammar mistakes has been corrected
Scientific paper
We introduce the moduli space $R \bar{M}_{2k,l}$ of pointed real curves of genus zero and give its natural stratification. The strata of $R \bar{M}_{2k,l}$ correspond to real curves of genus zero with different degeneration types and are encoded by their dual trees with certain decorations. By using this stratification, we calculate the first Stiefel-Whitney class of $R \bar{M}_{2k,l}$ and construct the orientation double cover $R \widetilde{M}_{2k,l}$$ of $R \bar{M}_{2k,l}$.
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