English

A Nisnevich Local Bloch-Ogus Theorem over a General Base

Algebraic Geometry 2021-11-29 v4

Abstract

We prove the exactness of the Nisnevich Gersten complex over a base under some conditions. We also obtain, as a consequence, a Nisnevich analogue of the Bloch-Ogus theorem for \'{e}tale cohomology in this setting.

Cite

@article{arxiv.2005.04674,
  title  = {A Nisnevich Local Bloch-Ogus Theorem over a General Base},
  author = {Neeraj Deshmukh and Girish Kulkarni and Suraj Yadav},
  journal= {arXiv preprint arXiv:2005.04674},
  year   = {2021}
}

Comments

Shortened Sec 2. Added new examples in Sec 3.2 plus some minor changes. Results unchanged

R2 v1 2026-06-23T15:26:08.876Z