Alternate Compactifications of Moduli Spaces of Curves

Mathematics – Algebraic Geometry

Scientific paper

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86 pages. Revised version. Submitted to Handbook of Moduli, Farkas and Morrison, eds

Scientific paper

We give an informal survey, emphasizing examples and open problems, of two
interconnected research programs in moduli of curves: the systematic
classification of modular compactifications of $M_{g,n}$, and the study of Mori
chamber decompositions of $\M_{g,n}$.

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