On the rationality of the moduli space of Lüroth quartics

Mathematics – Algebraic Geometry

Scientific paper

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7 pages

Scientific paper

We prove that the moduli space M_L of L"uroth quartics in P^2, i.e. the space
of quartics which can be circumscribed around a complete pentagon of lines
modulo the action of PGL_3(CC) is rational, as is the related moduli space of
Bateman seven-tuples of points in P^2.

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