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Images of sheaves
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Image functors for sheaves
direct image
f
∗
{\displaystyle f_{*}}
inverse image
f
∗
{\displaystyle f^{*}}
direct image with compact support
f
!
{\displaystyle f_{!}}
exceptional inverse image
R
f
!
{\displaystyle Rf^{!}}
f
∗
⇆
f
∗
{\displaystyle f^{*}\leftrightarrows f_{*}}
(
R
)
f
!
⇆
(
R
)
f
!
{\displaystyle (R)f_{!}\leftrightarrows (R)f^{!}}
Base change theorems
v
t
e