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Rationality of moduli spaces of plane curves of small degree

arXiv:0904.0890 · doi:10.1007/s00222-009-0214-6

Abstract

We prove that the moduli space C(d) of plane curves of degree d (for projective equivalence) is rational except possibly if d= 6, 7, 8, 11, 12, 14, 15, 16, 18, 20, 23, 24, 26, 32, 48.

17 pages