pith. sign in

arxiv: 0905.2063 · v1 · pith:EGB4Q7LVnew · submitted 2009-05-13 · 🧮 math.AG · math.CT

On the existence of a compact generator on the derived category of a noetherian formal scheme

Leovigildo Alonso , Ana Jeremias , Marta Perez , Maria J. Vale This is my paper
classification 🧮 math.AG math.CT
keywords categorycompactderivedformalnoetherianproveschemeappendix
0
0 comments X
read the original abstract

In this paper, we prove that for a noetherian formal scheme X, its derived category of sheaves of modules with quasi-coherent torsion homologies D_qct(X) is generated by a single compact object. In an appendix we prove that the category of compact objects in D_qct(X) is skeletally small.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Contraherent cosheaves of contramodules on Noetherian formal schemes

    math.AG 2026-03 unverdicted novelty 7.0

    The paper defines the exact category of contraherent cosheaves of contramodules on locally Noetherian formal schemes and constructs direct and inverse image functors along with Hom and contratensor operations.

  2. Homomorphisms of topological rings and change-of-scalar functors

    math.RA 2026-03 unverdicted novelty 6.0

    For left proflat topological ring epimorphisms, restriction of scalars on contramodules is fully faithful and the forgetful square is a pseudopullback.