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:
“perpetually crouched, quivering, upon the
sternly allotted sandpile
Mhow silently
emit a tiny violet flavoured nuisance: Odor?
o no.
comes out like a ribbon lies flat on the brush”
—E.E. (Edward Estlin)
“No love is entirely without worth, even when the frivolous calls to the frivolous and the base to the base.”
—Iris Murdoch (b. 1919)
“It does change the age that is young, once in Paris it was twenty-six, then it was twenty-two, then it was nineteen and now it is between thirty and forty. They tell about a new young man, how old is he you say and they say he is thirty.”
—Gertrude Stein (18741946)
“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)