Experimental Mathematics

Rationality of Moduli Spaces of Plane Curves of Small Degree

Christian Böhning, Hans-Christian Graf von Bothmer, and Jakob Kröker

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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 $d= 6, 7, 8, 11, 12, 14, 15, 16, 18, 20, 23, 24, 26, 32, 48$.

Article information

Source
Experiment. Math., Volume 18, Issue 4 (2009), 499-508.

Dates
First available in Project Euclid: 25 November 2009

Permanent link to this document
https://projecteuclid.org/euclid.em/1259158510

Mathematical Reviews number (MathSciNet)
MR2583546

Zentralblatt MATH identifier
1184.14025

Subjects
Primary: 14E08: Rationality questions [See also 14M20] 14M20: Rational and unirational varieties [See also 14E08] 14L24: Geometric invariant theory [See also 13A50]

Keywords
Rationality moduli spaces plane curves group quotients

Citation

Böhning, Christian; von Bothmer, Hans-Christian Graf; Kröker, Jakob. Rationality of Moduli Spaces of Plane Curves of Small Degree. Experiment. Math. 18 (2009), no. 4, 499--508. https://projecteuclid.org/euclid.em/1259158510


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