Moduli Stacks of Permutation Classes of Pointed Stable Curves |
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Authors: | Jörg Zintl |
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Affiliation: | 1. Fachbereich Mathematik, Technische Universit?t Kaiserslautern, Postfach 3049, 67653, Kaiserslautern, Germany
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Abstract: | The notion of m/Γ-pointed stable curves is introduced. It should be viewed as a generalization of the notion of m-pointed stable curves of a given genus, where the labels of the marked points are only determined up to the action of a group of permutations Γ. The classical moduli spaces and moduli stacks are generalized to this wider setting. Finally, an explicit construction of the new moduli stack of m/Γ-pointed stable curves as a quotient stack is given. Received: February 2008 |
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Keywords: | KeywordHeading" >. Moduli of pointed stable curves fine moduli spaces algebraic stacks |
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