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Article Dans Une Revue Advances in Mathematics Année : 2013

Linear spaces of matrices of constant rank and instanton bundles

A. Boralevi
  • Fonction : Auteur
E. Mezzetti
  • Fonction : Auteur

Résumé

We present a new method to study 4-dimensional linear spaces of skew-symmetric matrices of constant co-rank 2, based on rank 2 vector bundles on P3 and derived category tools. The method allows one to prove the existence of new examples of size 10 × 10 and 14 × 14 via instanton bundles of charge 2 and 4 respectively, and it provides an explanation for what used to be the only known example (Westwick 1996 [25]). We also give an algorithm to construct explicitly a matrix of size 14 of this type. © 2013.

Dates et versions

hal-00866937 , version 1 (27-09-2013)

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A. Boralevi, Daniele Faenzi, E. Mezzetti. Linear spaces of matrices of constant rank and instanton bundles. Advances in Mathematics, 2013, 248, pp.895-920. ⟨10.1016/j.aim.2013.08.018⟩. ⟨hal-00866937⟩
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