3 papers
math.RT2008
The Quiver of Projectives in Hereditary Categories with Serre Duality
Carl Fredrik Berg, Adam-Christiaan van Roosmalen
Let k be an algebraically closed field and A a k-linear hereditary category satisfying Serre duality with no infinite radicals between the preprojective objects. If A is generated…
math.CT2007
Abelian 1-Calabi-Yau Categories
Adam-Christiaan van Roosmalen
In this paper, we show all k-linear abelian 1-Calabi-Yau categories over an algebraically closed field k are derived equivalent to either the category of coherent sheaves on an ell…
math.CT2006
Classification of abelian hereditary directed categories satisfying Serre duality
Adam-Christiaan van Roosmalen
In an ongoing project to classify all hereditary abelian categories, we provide a classification of Ext-finite directed hereditary abelian categories satisfying Serre duality up to…