Let $X$ be a regular Noetherian scheme. I read in Milne's book on Etale Cohomology that this implies that $H^2(X_{Zar},\mathcal{O}_X^\times)=0$. Can anyone explain the proof of this fact or give a reference to the proof?
2026-02-22 21:59:14.1771797554
Does $H^2(X_{Zar},\mathcal{O}_X^\times)=0$ for $X$ a regular scheme?
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