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A construction of equivariant bundles on the space of symmetric forms

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 Added by Ada Boralevi
 Publication date 2018
  fields
and research's language is English




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We construct stable vector bundles on the space of symmetric forms of degree d in n+1 variables which are equivariant for the action of SL_{n+1}(C), and admit an equivariant free resolution of length 2. For n=1, we obtain new examples of stable vector bundles of rank d-1 on P^d, which are moreover equivariant for SL_2(C). The presentation matrix of these bundles attains Westwicks upper bound for the dimension of vector spaces of matrices of constant rank and fixed size.



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