Rationality of moduli spaces of plane curves of small degree

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

Cited by in corpus (2)

• On the rationality of the moduli space of Lüroth quartics
• Tautological families of cyclic covers of projective spaces