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arXiv · 2106.10290

Classification of singularities of cluster algebras of finite type: the case of trivial coefficients

Angelica Benito·Eleonore Faber·Hussein Mourtada·Bernd Schober
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Abstract

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.

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Angelica Benito, Eleonore Faber, Hussein Mourtada, Bernd Schober. 2021-06-18. Classification of singularities of cluster algebras of finite type: the case of trivial coefficients. https://arxiv.org/abs/2106.10290

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