%0 Journal Article
%T An explicit expression of the Luroth invariant
%A Romain Basson
%A Reynald Lercier
%A Christophe Ritzenthaler
%A Jeroen Sijsling
%J Mathematics
%D 2012
%I arXiv
%R 10.1145/2465506.2465507
%X 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.
%U http://arxiv.org/abs/1211.1327v2