| 1. | Moduli spaces often carry natural geometric and topological structures as well.
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| 2. | In that case the moduli space itself is of dimension one.
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| 3. | Rational coefficients are necessary because the moduli space is an orbifold.
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| 4. | It describes new ideas for studying the moduli space of complex curves.
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| 5. | This is seen heuristically by a moduli space dimension check.
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| 6. | Other directions of research involve moduli spaces and complex geometry.
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| 7. | This book connects moduli spaces and Galois theory.
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| 8. | One can also define coarse moduli spaces representing isomorphism classes of smooth or stable curves.
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| 9. | These coarse moduli spaces were actually studied before the notion of moduli stack was invented.
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| 10. | A configuration space is a type of classifying space or ( fine ) moduli space.
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