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arxiv: 1003.4635 · v1 · pith:IMZJUPTJnew · submitted 2010-03-24 · 🧮 math.AG

On the rationality of the moduli space of L\"uroth quartics

classification 🧮 math.AG
keywords spacemoduliquarticsurothactionaroundbatemancircumscribed
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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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