Fandom

Scratchpad

II.1.14

215,917pages on
this wiki
Add New Page
Discuss this page0 Share

Ad blocker interference detected!


Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.

This problem has Hartshorne Height 1.

HAPPY

  • Show the complement of \mbox{Supp} s is open. If  s \in F(U) then since the stalk is a direct limit, for s to map to 0 in the stalk means it maps to 0 in some small enough open neighborhood of the point. So the any point in the complement is an interior point.
  • One example for  \mbox{Supp} F not being closed. Take  X = \mathbb{R} with the usual topology. The for any open set U consider the set of real valued functions which are 0 if  0 \in U. Then  \mbox{Supp} F is  \mathbb{R} \backslash 0

Also on Fandom

Random wikia