On the semistability of instanton sheaves over certain projective varieties

Rosa M. Miró-Roig | Jardim, Marcos

Keywords: Monads | semistable sheaves

We show that instanton bundles of rank $r\le 2n-1$, defined as the cohomology of certain 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.

Anexos:

• answer-v2.pdf