On cosilting hearts over the Kronecker algebra

Abstract

This paper is about the hearts arising from torsion pairs of finite type in the category of modules over the Kronecker algebra. After a characterization of the simple objects in these hearts, we describe their atom spectrum and compute their Gabriel dimension.

17 pages

References in corpus (3)

• Specialization orders on atom spectra of Grothendieck categories
• On locally coherent hearts
• Tilting and cotilting modules over concealed canonical algebras