Rationality of moduli spaces of plane curves of small degree

Details Rationality of moduli spaces of plane curves of small degree Rationality of moduli spaces of plane curves of small degree

2009-04-06

arxiv.org/abs/0904.0890v1

Exp. Math. 18, No. 4, 499-508 (2009).

Mathematics

Algebraic Geometry

17 pages

Scientific paper

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.

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