Weil Restriction
In mathematics, restriction of scalars (also known as "Weil restriction") is a functor which, for any finite extension of fields L/k and any algebraic variety X over L, produces another variety ResL/kX, defined over k. It is useful for reducing questions about varieties over large fields to questions about more complicated varieties over smaller fields.
Read more about Weil Restriction: Definition, Properties, Examples and Applications, Weil Restrictions Vs. Greenberg Transforms
Famous quotes containing the words weil and/or restriction:
“The future is made of the same stuff as the present.”
—Simone Weil (1909–1943)
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—Selma H. Fraiberg (20th century)