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On the Plücker relations for the Grassmann varieties

✍ Scribed by Silvana Abeasis

Book ID
102623965
Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
213 KB
Volume
36
Category
Article
ISSN
0001-8708

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✦ Synopsis

This paper gives an answer to the question posed by Kleiman and Laksov in [3, p. 10761 (to which we refer for further references) concerning the relations satisfied by the Plucker coordinates of a Grassmann variety over a field of char # 0 and the possibility of generating them all from some simple ones.

A negative answer to this problem was given by J. Towber for' the case of flag varieties [4], and the answer is ,also negative in the case of Grassmann varieties, as is shown here.

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