Flat Base Change For Quasi-coherent Sheaves
The base change holds for a quasi-coherent sheaf (on ), provided that the map f is flat (together with a number of technical conditions: g needs to be a separated morphism of finite type, the schemes involved need to be Noetherian).
Read more about this topic: Base Change
Famous quotes containing the words flat, base, change and/or sheaves:
“And thou, all-shaking thunder,
Strike flat the thick rotundity o the world!
Crack natures moulds, all germens spill at once
That makes ingrateful man!”
—William Shakespeare (15641616)
“They must to keep their certainty accuse
All that are different of a base intent;
Pull down established honour; hawk for news
Whatever their loose phantasy invent
And murmur it with bated breath....”
—William Butler Yeats (18651939)
“If we are to change our world view, images have to change. The artist now has a very important job to do. Hes not a little peripheral figure entertaining rich people, hes really needed.”
—David Hockney (b. 1937)
“A thousand golden sheaves were lying there,
Shining and still, but not for long to stay
As if a thousand girls with golden hair
Might rise from where they slept and go away.”
—Edwin Arlington Robinson (18691935)