On the semistability of instanton sheaves over certain projective varieties

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.

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

References in corpus (1)

• Stability conditions on triangulated categories

Cited by in corpus (3)

• Heterotic and M-theory Compactifications for String Phenomenology
• Stable bundles on 3-fold hypersurfaces
• Linear and Steiner bundles on projective varieties