2015/06/29 by Daniele Arcara, Eric Miles, Arcara, Daniele +1
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1506.08793
openalex publication_date 2015/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that, for a natural class of Bridgeland stability conditions on\n\ℙ1\×\ℙ1 and the blow-up of \ℙ2 at a point,\nthe moduli spaces of Bridgeland semistable objects are projective. Our\ntechnique is to find suitable regions of stability conditions with hearts that\nare (after "rotation") equivalent to representations of a quiver. The helix and\ntilting theory is well-behaved on Del Pezzo surfaces and we conjecture that\nthis program (begun in arXiv:1203.0316) runs successfully for all Del Pezzo\nsurfaces, and the analogous Bridgeland moduli spaces are projective.\n