Daniel Labardini-Fragoso

collaborators

Showing math.RTShow all

4 papers · 1 filter

math.RT2025

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

Christof GeiÃ, Daniel Labardini-Fragoso, Jon Wilson

We prove that for any possibly-punctured surface with non-empty boundary $I^£ = (I^£, M, P)$ , and any tagged triangulation $T$ of $I^£$ in the sense of F…

math.RT2025

Laminations of punctured surfaces as $I ¨ $ -regular irreducible components

Christof GeiÃ, Daniel Labardini-Fragoso, Jon Wilson

Let $I^£ := (I^£, M, P)$ be a surface with marked points $M \subset \partial I^£ \neq = \emptyset$ on the boundary, and punctures $\mathbb{P}\subsetÎ£\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 $2$ and a specific choice of…

math.RT2024

Semicontinuous maps on module varieties

Christof GeiÃ, Daniel Labardini-Fragoso, Jan SchrÃ¶er

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 $g$ -v…

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

Laminations of punctured surfaces as I¨-regular irreducible components

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

Semicontinuous maps on module varieties

Laminations of punctured surfaces as $I ¨ $ -regular irreducible components