Stability Manifold of P^1

Details Stability Manifold of P^1 Stability Manifold of P^1

2004-11-10

arxiv.org/abs/math/0411220v3

J. Algebraic Geom. 15 (2006), no. 3, 487--505.

Mathematics

Algebraic Geometry

Lots of minor collections made and explanations added

Scientific paper

T. Bridgeland defined the notion of a stability manifold for a triangulated
category, motivated by Douglas's work on \Pi-stability for D-branes. We show
that the stability manifold of the bounded derived category of the coherent
sheaves on P^1 is C^2. This is the first complete picture of a stability
manifold for a non-Calabi-Yau manifold.

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