Zulip Chat Archive
Stream: Is there code for X?
Topic: Sh(Sch,Zar) = Sh(Aff,Zar)
Kenny Lau (Jul 16 2025 at 10:06):
Do we know that sheaves on schemes (with Zariski topology) are equivalent to sheaves on affines (with Zariski topology)?
Kenny Lau (Jul 16 2025 at 10:16):
it seems like we don't even have the Zariski topology on affines
Joël Riou (Jul 16 2025 at 10:32):
We do not have this yet. In the future, it shall be a consequence of #19444.
Joël Riou (Jul 16 2025 at 10:37):
Actually, it may also require the new approach to sheafification that is being developed by @Christian Merten.
Andrew Yang (Jul 19 2025 at 16:16):
For the small zariski site this is docs#AlgebraicGeometry.Scheme.AffineZariskiSite.sheafEquiv
Last updated: Dec 20 2025 at 21:32 UTC