2012/06/13 by Greg Stevenson, Stevenson, Greg
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #math.CT
paper · pdf · doi:10.48550/arxiv.1206.2721
16 pages, comments welcome
arxiv created 2012/06/13 · openalex publication_date 2012/06/13 · arxiv updated 2012/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend work of Balmer, associating filtrations of essentially small tensor triangulated categories to certain dimension functions, to the setting of actions of rigidly-compactly generated tensor triangulated categories on compactly generated triangulated categories. We show that the towers of triangles associated to such a filtration can be used to produce filtrations of Gorenstein injective quasi-coherent sheaves on Gorenstein schemes. This extends and gives a new proof of a result of Enochs and Huang. In the case of local complete intersections a further refinement of this filtration is given and we comment on some special properties of the associated spectral sequence in this case.