On moduli of pointed real curves of genus zero

Ozgur Ceyhan

On moduli of pointed real curves of genus zero

Algebraic Geometry 2007-08-27 v5

Authors: Ozgur Ceyhan

Abstract

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}$.

Keywords

moduli space real curves genus zero stratification stiefel-whitney class orientation double cover dual trees

Cite

@article{arxiv.math/0207058,
  title  = {On moduli of pointed real curves of genus zero},
  author = {Ozgur Ceyhan},
  journal= {arXiv preprint arXiv:math/0207058},
  year   = {2007}
}

Comments

38 pages, 7 figures, minor grammar mistakes has been corrected

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