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