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math.AG2025
Galois Groups of Symmetric Cubic Surfaces
Eric Pichon-Pharabod, Simon Telen
The Galois group of a family of cubic surfaces is the monodromy group of the 27 lines of its generic fibre. We describe a method to compute this group for linear systems of cubic s…
math.AG2025
Lissajous Varieties
Francesco Maria Mascarin, Simon Telen
This paper studies affine algebraic varieties parametrized by sine and cosine functions, generalizing algebraic Lissajous figures in the plane. We show that, up to a combinatorial…