C. Geiss

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math.RT2025

On homomorphisms and generically $I ¨ $ -regular components for skewed-gentle algebras

Christof GeiÃ

Let $K$ be an algebraically closed field with $char (K) \neq = 2$ , and $A$ a skewed-gentle $K$ -algebra. In this case, Crawley-Boevey's description of the indecomposable…

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

A geometric construction of $U (n)$ for affine Kac-Moody algebras of type $C ~_{n}$

Alberto Castillo GÃ³mez, Christof Geiss

Inspired by the work of Geiss, Leclerc and SchrÃ¶er [Represent. Theory 20, (2016)] we realize the enveloping algebra of the positive part of an affine Kac-Moody Lie algebra of Dynk…

math.RT2024

A model for the canonical algebras of bimodules type (1, 4) over truncated polynomial rings

Christof GeiÃ, David Reynoso-Mercado

Let $k = C ((I^µ))$ be the field of complex Laurent series. We use Galois descent techniques to show that the simple regular representations of the species of type $(1,\,…

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…

On homomorphisms and generically I¨-regular components for skewed-gentle algebras

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

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

A geometric construction of U(n) for affine Kac-Moody algebras of type C~n​

A model for the canonical algebras of bimodules type (1, 4) over truncated polynomial rings

Semicontinuous maps on module varieties

On homomorphisms and generically $I ¨ $ -regular components for skewed-gentle algebras

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

A geometric construction of $U (n)$ for affine Kac-Moody algebras of type $C ~_{n}$