Weil Restriction

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 mysteries of faith are degraded if they are made into an object of affirmation and negation, when in reality they should be an object of contemplation.
    —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)