Resumen de A construction of equivariant bundles on the space of symmetric forms

Ada Boralevi, Daniele Faenzi , Paolo Lella

• We construct stable vector bundles on the space P(SdCn+1) of symmetric forms of degree d in n+1 variables which are equivariant for the action of SLn+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 Pd, which are moreover equivariant for SL2(C). The presentation matrix of these bundles attains Westwick's upper bound for the dimension of vector spaces of matrices of constant rank and fixed size.