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arXiv · 1211.1327

An explicit expression of the Luroth invariant

Romain Basson·Reynald Lercier·Christophe Ritzenthaler·Jeroen Sijsling
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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.

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Romain Basson, Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. 2012-11-06. An explicit expression of the Luroth invariant. https://doi.org/10.1145/2465506.2465507

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