Alexandre Astruc ; Frederic Chapoton ; Karen Martinez ; Markus Reineke - Motives of central slope Kronecker moduli

epiga:14742 - Épijournal de Géométrie Algébrique, September 29, 2025, Volume 9 - https://doi.org/10.46298/epiga.2025.14742
Motives of central slope Kronecker moduliArticle

Authors: Alexandre Astruc ; Frederic Chapoton ; Karen Martinez ; Markus Reineke

We use dualities of quiver moduli induced by reflection functors to describe generating series of motives of Kronecker moduli spaces of central slope as solutions of algebraic and q-difference equations.

15 pages; v2: several small improvements to the presentation; v3: more slight improvements to the presentation, v4: published version

https://doi.org/10.46298/epiga.2025.14742
Source: arXiv.org:2410.07913
Volume: Volume 9
Published on: September 29, 2025
Accepted on: March 28, 2025
Submitted on: November 14, 2024
Keywords: Algebraic Geometry, Representation Theory, 14D20 (Primary), 16G20 (Secondary)
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
Funding:
    Source : OpenAIRE Graph
  • Symplectic Structures in Geometry, Algebra and Dynamics; Funder: Deutsche Forschungsgemeinschaft; Code: 281071066/TRR 191
  • Clusters, Homological Algebra, Representations and Mirror Symmetry; Funder: French National Research Agency (ANR); Code: ANR-19-CE40-0017

Classifications

Mathematics Subject Classification 20201
Sources:
  • [1] zbMATH Open.

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