Smooth Base Change For Etale Sheaves
The base change holds for etale torsion sheaves, whose torsion is prime to the residue characteristics of X, provided f is smooth and g is quasi-compact.
Read more about this topic: Base Change
Famous quotes containing the words smooth, base, change and/or sheaves:
“We were soon in the smooth water of the Quakish Lake,... and we had our first, but a partial view of Ktaadn, its summit veiled in clouds, like a dark isthmus in that quarter, connecting the heavens with the earth.”
—Henry David Thoreau (1817–1862)
“It is a base thing for a man among the people not to obey those in command. Never in a state can the laws be well administered when fear does not stand firm.”
—Sophocles (497–406/5 B.C.)
“Jealousy is bred in doubts. When those doubts change into certainties, then the passion either ceases or turns absolute madness.”
—François, Duc De La Rochefoucauld (1613–1680)
“Being young you have not known
The fool’s triumph, nor yet
Love lost as soon as won,
Nor the best labourer dead
And all the sheaves to bind.”
—William Butler Yeats (1865–1939)