On the semistability of instanton sheaves over certain projective varieties

Details On the semistability of instanton sheaves over certain projective varieties On the semistability of instanton sheaves over certain projective varieties

2006-03-10

arxiv.org/abs/math/0603246v1

Communications in Algebra 36 (2008), 288-298.

Mathematics

Algebraic Geometry

19pages, To appear in Communications in Algebra (2008)

Scientific paper

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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