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Changed 'manifold' to 'orbifold' following Kevin's suggestion
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Jonah Sinick
Jonah Sinick
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Using a minimum of technical vocabulary, give a summary of why it is that the moduli space of genus g complex curves with n marked points has a natural compactification that is isomorphic (as a complex manifoldorbifold) to a projective algebraic variety.

Using a minimum of technical vocabulary, give a summary of why it is that the moduli space of genus g complex curves with n marked points has a natural compactification that is isomorphic (as a complex manifold) to a projective algebraic variety.

Using a minimum of technical vocabulary, give a summary of why it is that the moduli space of genus g complex curves with n marked points has a natural compactification that is isomorphic (as a complex orbifold) to a projective algebraic variety.

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Kevin H. Lin
Kevin H. Lin
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Jonah Sinick
Jonah Sinick
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Moduli spaces of complex curves as algebraic varieties

Using a minimum of technical vocabulary, give a summary of why it is that the moduli space of genus g complex curves with n marked points has a natural compactification that is isomorphic (as a complex manifold) to a projective algebraic variety.