An explicit expression of the Luroth invariant
Algebraic Geometry
2015-01-13 v2
Abstract
In this short note, we give an algorithm to get an explicit expression of the Luroth invariant in terms of the Dixmier-Ohno invariants. We also get the explicit factorized expression on the locus of Ciani quartics in terms of the coefficients. Finally, we answer two open questions on sub-loci of singular Luroth quartics.
Keywords
Cite
@article{arxiv.1211.1327,
title = {An explicit expression of the Luroth invariant},
author = {Romain Basson and Reynald Lercier and Christophe Ritzenthaler and Jeroen Sijsling},
journal= {arXiv preprint arXiv:1211.1327},
year = {2015}
}