1. CJM 2009 (vol 61 pp. 76)
|Ascent Properties of Auslander Categories |
Let $R$ be a homomorphic image of a Gorenstein local ring. Recent work has shown that there is a bridge between Auslander categories and modules of finite Gorenstein homological dimensions over $R$. We use Gorenstein dimensions to prove new results about Auslander categories and vice versa. For example, we establish base change relations between the Auslander categories of the source and target rings of a homomorphism $\varphi \colon R \to S$ of finite flat dimension.
Keywords:Auslander categories, Gorenstein dimensions, ascent properties, Auslander--Buchsbaum formulas
Categories:13D05, 13D07, 13D25
2. CJM 1999 (vol 51 pp. 3)
|On a Conjecture of Goresky, Kottwitz and MacPherson |
We settle a conjecture of Goresky, Kottwitz and MacPherson related to Koszul duality, \ie, to the correspondence between differential graded modules over the exterior algebra and those over the symmetric algebra.
Keywords:Koszul duality, Hirsch-Brown model
Categories:13D25, 18E30, 18G35, 55U15