On the rationality of the moduli space of L\"uroth quartics
Algebraic Geometry
2017-09-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1003.4635,
title = {On the rationality of the moduli space of L\"uroth quartics},
author = {Christian Böhning and Hans-Christian Graf v. Bothmer},
journal= {arXiv preprint arXiv:1003.4635},
year = {2017}
}
Comments
7 pages