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:
“Whenever a human being, through the commission of a crime, has become exiled from good, he needs to be reintegrated with it through suffering. The suffering should be inflicted with the aim of bringing the soul to recognize freely some day that its infliction was just.”
—Simone Weil (1909–1943)
“If we can find a principle to guide us in the handling of the child between nine and eighteen months, we can see that we need to allow enough opportunity for handling and investigation of objects to further intellectual development and just enough restriction required for family harmony and for the safety of the child.”
—Selma H. Fraiberg (20th century)