Motive (algebraic Geometry) - Definition of Pure Motives

Definition of Pure Motives

The category of pure motives often proceeds in three steps. Below we describe the case of Chow motives Chow(k), where k is any field.

Read more about this topic:  Motive (algebraic Geometry)

Famous quotes containing the words definition of, definition, pure and/or motives:

    Scientific method is the way to truth, but it affords, even in
    principle, no unique definition of truth. Any so-called pragmatic
    definition of truth is doomed to failure equally.
    Willard Van Orman Quine (b. 1908)

    It is very hard to give a just definition of love. The most we can say of it is this: that in the soul, it is a desire to rule; in the spirit, it is a sympathy; and in the body, it is but a hidden and subtle desire to possess—after many mysteries—what one loves.
    François, Duc De La Rochefoucauld (1613–1680)

    In times like ours, where the growing complexity of life leaves us barely the time to read the newspapers, where the map of Europe has endured profound rearrangements and is perhaps on the brink of enduring yet others, where so many threatening and new problems appear everywhere, you will admit it may be demanded of a writer that he be more than a fine wit who makes us forget in idle and byzantine discussions on the merits of pure form ...
    Marcel Proust (1871–1922)

    The motives to actions and the inward turns of mind seem in our opinion more necessary to be known than the actions themselves; and much rather would we choose that our reader should clearly understand what our principal actors think than what they do.
    Sarah Fielding (1710–1768)