Segre Embedding - Definition

Definition

The Segre map may be defined as the map

taking a pair of points to their product

\sigma:(, ) \mapsto \

(the XiYj are taken in lexicographical order).

Here, and are projective vector spaces over some arbitrary field, and the notation

is that of homogeneous coordinates on the space. The image of the map is a variety, called a Segre variety. It is sometimes written as .

Read more about this topic:  Segre Embedding

Famous quotes containing the word definition:

    One definition of man is “an intelligence served by organs.”
    Ralph Waldo Emerson (1803–1882)

    The physicians say, they are not materialists; but they are:MSpirit is matter reduced to an extreme thinness: O so thin!—But the definition of spiritual should be, that which is its own evidence. What notions do they attach to love! what to religion! One would not willingly pronounce these words in their hearing, and give them the occasion to profane them.
    Ralph Waldo Emerson (1803–1882)

    ... if, as women, we accept a philosophy of history that asserts that women are by definition assimilated into the male universal, that we can understand our past through a male lens—if we are unaware that women even have a history—we live our lives similarly unanchored, drifting in response to a veering wind of myth and bias.
    Adrienne Rich (b. 1929)