Abstract
We prove that the moduli space $C(d)$ of plane curves of degree $d$ (with respect to projective equivalence) is rational except possibly if $d= 6, 7, 8, 11, 12, 14, 15, 16, 18, 20, 23, 24, 26, 32, 48$.
Citation
Christian Böhning. Hans-Christian Graf von Bothmer. Jakob Kröker. "Rationality of Moduli Spaces of Plane Curves of Small Degree." Experiment. Math. 18 (4) 499 - 508, 2009.
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