On the semistability of instanton sheaves over certain projective varieties
نویسنده
چکیده
We show that instanton bundles of rank r ≤ 2n − 1, defined as the cohomology of certain linear monads, on an n-dimensional projective variety with cyclic Picard group are semistable in the sense of MumfordTakemoto. Furthermore, we show that rank r ≤ n linear bundles with nonzero first Chern class over such varieties are stable. We also show that these bounds are sharp. 2000 MSC: 14J60; 14F05
منابع مشابه
Instanton sheaves on complex projective spaces
We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton sheaves can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of modu...
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