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On the semistability of instanton sheaves over certain projective varieties

Marcos Jardim·Rosa M. Miró-Roig
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Abstract

We show that instanton bundles of rank $r\le 2n-1$, defined as the cohomology of certain linear monads, on an $n$-dimensional projective variety with cyclic Picard group are semistable in the sense of Mumford-Takemoto. Furthermore, we show that rank $r\le n$ linear bundles with nonzero first Chern class over such varieties are stable. We also show that these bounds are sharp.

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Marcos Jardim, Rosa M. Miró-Roig. 2006-03-10. On the semistability of instanton sheaves over certain projective varieties. https://arxiv.org/abs/math/0603246

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