A question of sheaf

Asked Aug 15 '13 at 07:24

Active Aug 15 '13 at 08:02

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Let $\mathscr F$ and $\mathscr G$ be sheaves. $\mathscr{H}\hspace{-3pt}om$ does not commute with taking stalks. More precisely: It is not true in general that $\mathscr{H}\hspace{-3pt}om(\mathscr F, \mathscr G)_p$ is isomorphic to $\mathscr{H}\hspace{-3pt}om(\mathscr F_p,\mathscr G_p)$.

How to verify the above fact?

edited Aug 15 '13 at 08:02

Jesko Hüttenhain

15,116

asked Aug 15 '13 at 07:24

projectivelp

Perhaps look at something with no global sections? – Zach L. Aug 15 '13 at 07:49
Have a look at this question. – Luca Bressan Aug 15 '13 at 08:08

A question of sheaf

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