An affine open covering of $\mathcal{M}_g$ for $g \le 5$

Details An affine open covering of $\mathcal{M}_g$ for $g \le 5$ An affine open covering of $\mathcal{M}_g$ for $g \le 5$

2011-03-14

arxiv.org/abs/1103.2646v2

Mathematics

Algebraic Geometry

9 pages

Scientific paper

We prove that the moduli space $\mathcal{M}_g$ of smooth curves of genus $g$
is the union of $g-1$ affine open subsets for every $g$ with $2 \le g \le 5$,
as predicted by an intriguing conjecture of Eduard Looijenga.

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