59 citations · 224 across the 22 of their papers we have counts for
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math.AC2009★ 10 cited
Residues and duality for singularity categories of isolated Gorenstein singularities
Daniel Murfet
We study Serre duality in the singularity category of an isolated Gorenstein singularity and find an explicit formula for the duality pairing in terms of generalised fractions and…
math.CT2009★ 1 cited
Rouquier's cocovering theorem and well-generated triangulated categories
Daniel Murfet
We study cocoverings of triangulated categories, in the sense of Rouquier, and prove that for any regular cardinal the condition of -compactness, in the sense of Neeman, is…
math.AG2009★ 1 cited
Totally acyclic complexes over noetherian schemes
Daniel Murfet, Shokrollah Salarian
We define a notion of total acyclicity for complexes of flat quasi-coherent sheaves over a semi-separated noetherian scheme, generalising complete flat resolutions over a ring. By…