Experimental Mathematics
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Rationality of Moduli Spaces of Plane Curves of Small Degree

Christian Böhning, Hans-Christian Graf von Bothmer, and Jakob Kröker
Source: Experiment. Math. Volume 18, Issue 4 (2009), 499-508.

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

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Primary Subjects: 14E08, 14M20, 14L24
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.em/1259158510
Mathematical Reviews number (MathSciNet): MR2583546
Zentralblatt MATH identifier: 1184.14025

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Experimental Mathematics

Experimental Mathematics