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

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