Moduli stacks Lg,S
نویسنده
چکیده
This paper is a sequel to the paper by A. Losev and Yu. Manin [LoMa1], in which new moduli stacks of pointed curves were introduced. In particular, the structure sections are divided into two groups, and the sections of the second group are allowed to intersect. The homology of these stacks form components of extended modular operad which will be further studied in [LoMa2]. In this paper the basic geometric properties of Lg,S are established using the notion of weighted stable pointed curves introduced recently by B. Hassett. The main result is a generalization of Keel’s and Kontsevich – Manin’s theorems on the structure of H(M0,S).
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