We prove that the moduli space Mg of smooth curves of genus g is the union of g−1 affine open subsets for every g with 2 ≤ g ≤ 5, as predicted by an intriguing conjecture of Eduard Looijenga.
An affine open covering of M_g for g ≤ 5
Fontanari, Claudio;
2012-01-01
Abstract
We prove that the moduli space Mg of smooth curves of genus g is the union of g−1 affine open subsets for every g with 2 ≤ g ≤ 5, as predicted by an intriguing conjecture of Eduard Looijenga.File in questo prodotto:
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