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Contracting endomorphisms and dualizing complexes

2012/10/09 by Saeed Nasseh, Nasseh, Saeed, Sean Sather-Wagstaff +1
Mathematics · #13A35 #13D05 #13D09 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13A35 #msc:13D05 #msc:13D09

paper · pdf · doi:10.48550/arxiv.1210.2700

25 pages

arxiv created 2012/10/09 · openalex publication_date 2012/10/09 · arxiv updated 2012/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate how one can detect the dualizing property for a chain complex over a commutative local noetherian ring R. Our focus is on homological properties of contracting endomorphisms of R, e.g., the Frobenius endomorphism when R contains a field of positive characteristic.

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