Semilinear gentle algebras are path algebras over a division ring, where the underlying quiver with relations is subject to restriction similar to those for a “classical” gentle algebra. They are a type of semilinear clannish algebras studied by Bennett-Tennenhaus and Crawley-Boevey.

In this talk we will describe how the geometric models of gentle algebras extend to the semilinear case. Along the way we will also discuss how semilinear gentle algebras are nodal, and demonstrate how the Zembyk decomposition for nodal algebras can be interpreted geometrically.

Based on joint work (on the arxiv, 2402.04947) with Esther Banaian, Raphael Bennett-Tennenhaus and Kayla Wright.