2003
Symmetric polynomials vanishing on the diagonals shifted by roots of unity
Int. Math. Res. Not.
- ,
- ,
- ,
- ,
- Volume
- 2003
- Number
- 18
- First page
- 999
- Last page
- 1014
- Language
- English
- Publishing type
- Research paper (scientific journal)
For a pair of positive integers (k,r) with r>1 such that k+1 and r-1 are<br />
relatively prime, we describe the space of symmetric polynomials in variables<br />
x_1,...,x_n which vanish at all diagonals of codimension k of the form<br />
x_i=tq^{s_i}x_{i-1}, i=2,...,k+1, where t and q are primitive roots of unity of<br />
orders k+1 and r-1.
relatively prime, we describe the space of symmetric polynomials in variables<br />
x_1,...,x_n which vanish at all diagonals of codimension k of the form<br />
x_i=tq^{s_i}x_{i-1}, i=2,...,k+1, where t and q are primitive roots of unity of<br />
orders k+1 and r-1.
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