English

Arithmetic duality for two-dimensional local rings with perfect residue field

Number Theory 2023-06-19 v4 Algebraic Geometry

Abstract

We give a refinement of Saito's arithmetic duality for two-dimensional local rings by giving algebraic group structures for arithmetic cohomology groups.

Keywords

Cite

@article{arxiv.2112.06491,
  title  = {Arithmetic duality for two-dimensional local rings with perfect residue field},
  author = {Takashi Suzuki},
  journal= {arXiv preprint arXiv:2112.06491},
  year   = {2023}
}

Comments

Accepted for publication in the Journal of Pure and Applied Algebra. No changes in the text from v3. 108 pages

R2 v1 2026-06-24T08:14:36.143Z