collaborators

6 papers

math.RT2025

Bangle functions are the generic basis for cluster algebras from punctured surfaces with boundary

Christof Geiß, Daniel Labardini-Fragoso, Jon Wilson

We prove that for any possibly-punctured surface with non-empty boundary , and any tagged triangulation of in the sense of F…

math.RT2025

Laminations of punctured surfaces as -regular irreducible components

Christof Geiß, Daniel Labardini-Fragoso, Jon Wilson

Let be a surface with marked points on the boundary, and punctures $\mathbb{P}\subsetΣ\set…

math.RT2025

Gentle algebras arising from surfaces with orbifold points, Part II: Locally free Caldero-Chapoton functions

Daniel Labardini-Fragoso, Lang Mou

We prove that in the skew-symmetrizable cluster algebras associated by Felikson-Shapiro-Tumarkin to unpunctured surfaces with orbifold points of order and a specific choice of…

math.RA2025

Semilinear clannish algebras arising from surfaces with orbifold points

Raphael Bennett-Tennenhaus, Daniel Labardini-Fragoso

Semilinear clannish algebras have been recently introduced by the first author and Crawley-Boevey as a generalization of Crawley-Boevey's clannish algebras. In the present paper, w…

math.RT2024

Semicontinuous maps on module varieties

Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer

We study semicontinuous maps on varieties of modules over finite-dimensional algebras. We prove that truncated Euler maps are upper or lower semicontinuous. This implies that -v…

math.GT2024

On the resolution of kinks of curves on punctured surfaces

Christof Geiß, Daniel Labardini-Fragoso

Let be a surface with marked points and punctures . In this p…