Linear spaces of matrices of constant rank and instanton bundles

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• 作者：Ada Boralevi ; Daniele Faenzi ; Emilia Mezzetti
• 关键词：14J60 ; 15A30 ; 14F05
• 刊名：Advances in Mathematics
• 出版年：2013
• 出版时间：25 November, 2013
• 年：2013
• 卷：248
• 期：Complete
• 页码：895-920
• 全文大小：307 K

文摘

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 and derived category tools. The method allows one to prove the existence of new examples of size and 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.