Archivio Istituzionale della RicercaWe 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). We also give an algorithm to construct explicitly a matrix of size 14 of this type.
Linear spaces of matrices of constant rank and instanton bundles / Boralevi, Ada; Faenzi, D; Mezzetti, E.. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 248:(2013), pp. 895-920. [10.1016/j.aim.2013.08.018]
Linear spaces of matrices of constant rank and instanton bundles
BORALEVI, ADA;
2013
Abstract
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). We also give an algorithm to construct explicitly a matrix of size 14 of this type.
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https://hdl.handle.net/11583/2674268
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