A computational approach to L\"uroth quartics
Algebraic Geometry
2012-08-08 v1
Abstract
A plane quartic curve is called L\"uroth if it contains the ten vertices of a complete pentalateral. White and Miller constructed in 1909 a covariant quartic 4-fold, associated to any plane quartic. We review their construction and we show how it gives a computational tool to detect if a plane quartic is L\"uroth. As a byproduct, the 28 bitangents of a general plane quartic correspond to 28 singular points of the associated White-Miller quartic 4-fold.
Keywords
Cite
@article{arxiv.1208.1372,
title = {A computational approach to L\"uroth quartics},
author = {Giorgio Ottaviani},
journal= {arXiv preprint arXiv:1208.1372},
year = {2012}
}
Comments
16 pages, one figure, two Macaulay2 files as ancillary files