Classification of singularities of cluster algebras of finite type: the case of trivial coefficients
- [Published online by Cambridge University Press: 04 July 2022]
Beschreibung:
We provide a complete classification of the singularities of cluster algebras of finite type with trivial coefficients. Alongside, we develop a constructive desingularization of these singularities via blowups in regular centers over fields of arbitrary characteristic. Furthermore, from the same perspective, we study a family of cluster algebras which are not of finite type and which arise from a star shaped quiver.
Funding text: [...] This project was initiated during a 3-week stay at the Mathematisches Forschungsinstitut Oberwolfach in the context of an Oberwolfach Research Fellowship in 2020. All authors are grateful to the Institute for their support and hospitality during their visit.