Invariants of t-structures and classification of nullity classes

2006/02/12 by Don Stanley, Stanley, Don · 2 citations
Mathematics · Physics and Astronomy · #18E30 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AC #math.AG #msc:18E30

paper · pdf · doi:10.48550/arxiv.math/0602252

arxiv created 2006/02/12 · openalex publication_date 2006/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct an invariant of t-structures on the derived category of a Noetherian ring. This invariant is complete when restricting to the category of quasi-coherent complexes, and also gives a classification of nullity classes with the same restriction. On the full derived category of \mathbb Z we show that the class of distinct t-structures do not form a set.

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