117 citations · 327 across the 23 of their papers we have counts for
27 papers
Minimal presentations of finite-dimensional representations of pseudocompact algebras
Christof Geiss, Carolin Hartung, Daniel Labardini-Fragoso +1
We give a general formula for minimal projective presentations and for minimal discrete-injective presentations of finite-dimensional modules over basic pseudocompact algebras. We…
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 Fomi…
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…
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\setminu…
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 paper…
Semilinear clannish algebras associated to triangulations of surfaces with orbifold points: Oberwolfach talk, February 2023
Daniel Labardini-Fragoso
This is an extended abstract of my talk at the Oberwolfach Workshop "Representation Theory of Quivers and Finite-Dimensional Algebras" (February 12 - February 18, 2023 ). It is bas…
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…
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…
Landau-Ginzburg potentials via projective representations
Daniel Labardini-Fragoso, Bea Schumann
We interpret the Landau-Ginzburg potentials associated to Gross-Hacking-Keel-Kontsevich's partial compactifications of cluster varieties as F-polynomials of projective representati…
Gentle algebras arising from surfaces with orbifold points of order 3, Part I: scattering diagrams
Daniel Labardini-Fragoso, Lang Mou
To each triangulation of any surface with marked points on the boundary and orbifold points of order three, we associate a quiver (with loops) with potential whose Jacobian algebra…
Quivers with potentials associated to triangulations of closed surfaces with at most two punctures
Jan Geuenich, Daniel Labardini-Fragoso, José Luis Miranda-Olvera
We tackle the classification problem of non-degenerate potentials for quivers arising from triangulations of surfaces in the cases left open by Geiss-Labardini-Schröer. Namely, for…
Generic Caldero-Chapoton functions with coefficients and applications to surface cluster algebras
Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer
We realize Derksen-Weyman-Zelevinsky's mutations of representations as densely-defined regular maps on representation spaces, and study the generic values of Caldero-Chapoton funct…
Derived categories of skew-gentle algebras and orbifolds
Daniel Labardini-Fragoso, Sibylle Schroll, Yadira Valdivieso
Skew-gentle algebras are a generalisation of the well-known class of gentle algebras with which they share many common properties. In this work, using non-commutative Gröbner basis…
Schemes of modules over gentle algebras and laminations of surfaces
Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer
We study the affine schemes of modules over gentle algebras. We describe the smooth points of these schemes, and we also analyze their irreducible components in detail. Several of…
On a family of Caldero-Chapoton algebras that have the Laurent phenomenon
Daniel Labardini-Fragoso, Diego Velasco
We realize a family of generalized cluster algebras as Caldero-Chapoton algebras of quivers with relations. Each member of this family arises from an unpunctured polygon with one o…
Species with potential arising from surfaces with orbifold points of order 2, Part II: arbitrary weights
Jan Geuenich, Daniel Labardini-Fragoso
Let be a surface with marked points and order-2 orbifold points which is either unpunctured or once-punctured closed, and a function. For…
Derived invariants for surface cut algebras II: the punctured case
Claire Amiot, Daniel Labardini-Fragoso, Pierre-Guy Plamondon
For each algebra of global dimension 2 arising from the quiver with potential associated to a triangulation of an unpunctured surface, Amiot-Grimeland have defined an integer-value…
Species with potential arising from surfaces with orbifold points of order 2, Part I: one choice of weights
Jan Geuenich, Daniel Labardini-Fragoso
We present a definition of mutations of species with potential that can be applied to the species realizations of any skew-symmetrizable matrix B over cyclic Galois extensions E/F…
The representation type of Jacobian algebras
Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer
We show that the representation type of the Jacobian algebra P(Q,S) associated to a 2-acyclic quiver Q with non-degenerate potential S is invariant under QP-mutations. We prove tha…
Strongly primitive species with potentials I: Mutations
Daniel Labardini-Fragoso, Andrei Zelevinsky
Motivated by the mutation theory of quivers with potentials developed by Derksen-Weyman-Zelevinsky, and the representation-theoretic approach to cluster algebras it provides, we pr…
On triangulations, quivers with potentials and mutations
Daniel Labardini-Fragoso
In this survey article we give a brief account of constructions and results concerning the quivers with potentials associated to triangulations of surfaces with marked points. Besi…
Caldero-Chapoton algebras
Giovanni Cerulli Irelli, Daniel Labardini-Fragoso, Jan Schröer
Motivated by the representation theory of quivers with potentials introduced by Derksen, Weyman and Zelevinsky and by work of Caldero and Chapoton, who gave explicit formulae for t…
Quivers with potentials associated to triangulated surfaces, part IV: Removing boundary assumptions
Daniel Labardini-Fragoso
We prove that the quivers with potentials associated to triangulations of surfaces with marked points, and possibly empty boundary, are non-degenerate, provided the underlying surf…
Linear independence of cluster monomials for skew-symmetric cluster algebras
Giovanni Cerulli Irelli, Bernhard Keller, Daniel Labardini-Fragoso +1
Fomin-Zelevinsky conjectured that in any cluster algebra, the cluster monomials are linearly independent and that the exchange graph and cluster complex are independent of the choi…