moduli space in a sentence

Examples

1. The domain curve C is an element of the Deligne Mumford moduli space of curves.
2. The nerve of a category is often used to construct topological versions of moduli spaces.
3. This correction renders the moduli space nonsingular, and also leads to chiral symmetry breaking.
4. This turns \ mathcal H into a locally trivial fiber bundle over the moduli space.
5. This is notably used in the Deligne Mumford compactification of the moduli space of algebraic curves.
6. Their program is to try to construct TMF as a moduli space of supersymmetric Euclidean field theories.
7. Hyperelliptic curves also appear composing entire connected components of certain strata of the moduli space of Abelian differentials.
8. Compactification of moduli spaces generally require allowing certain degeneracies  for example, allowing certain singularities or reducible varieties.
9. The Keel Mori theorem implies that an Artin stack has a coarse moduli space which is an algebraic space.
10. This gave the possibility of constructions of moduli spaces, since in general such structures depend continuously on parameters.