Rationality of Rigid Quiver Grassmannians
نویسندگان
چکیده
We show that any quiver Grassmannian associated with a rigid representation of is rational variety using torus localization techniques.
منابع مشابه
Quiver Grassmannians, Quiver Varieties and the Preprojective Algebra
Quivers play an important role in the representation theory of algebras, with a key ingredient being the path algebra and the preprojective algebra. Quiver grassmannians are varieties of submodules of a fixed module of the path or preprojective algebra. In the current paper, we study these objects in detail. We show that the quiver grassmannians corresponding to submodules of certain injective ...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2021
ISSN: ['1386-923X', '1572-9079']
DOI: https://doi.org/10.1007/s10468-021-10048-8