On moduli of pointed real curves of genus zero
Abstract
We introduce the moduli space R M2k,l of pointed real curves of genus zero and give its natural stratification. The strata of R M2k,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 M2k,l and construct the orientation double cover R M2k,l of R M2k,l$.
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