Let ξ be the Chern character of a stable sheaf on P2. Assume either rk(ξ) ≤ 6 and that there are no strictly semistable sheaves with character ξ, or that rk(ξ) and c1(ξ) are coprime and the discriminant Δ(ξ) is suffciently large. We use recent results of Bayer and Macrìon Bridgeland stability to compute the ample cone of the moduli space M(ξ) of Gieseker-semistable sheaves on P2. We recover earlier results, such as those by Strømme and Yoshioka, as special cases.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology