A Nisnevich Local Bloch-Ogus Theorem over a General Base

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 étale cohomology in this setting.

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

References in corpus (2)

• Stable ${\mathbb{A}}^1$-connectivity over Dedekind schemes
• Stable connectivity over a base