We give a explicit description of gluing stability conditions on ruled surfaces by introducing gluing perversity. Moreover, we describe a destabilizing wall of skyscraper sheaves on ruled surfaces by deformation of stability conditions glued from ?GL^^～⁺(2, R)-translates of the standard stability condition on the base curve.
[1] D. Arcara and A. Bertram: Bridgeland-stable moduli spaces for K-trivial surfaces, J. Eur. Math. Soc. (JEMS) 15 (2013), 1–38.
[2] D. Arcara and E. Miles: Bridgeland Stability of Line Bundles on Surfaces, arXiv:1401.6149v1.
[3] A. Bayer and E. Macri: Projectivity and birational geometry of Bridgeland moduli spaces, J. Amer. Math. Soc. 27 (2014), 707–752.
[4] T. Bridgeland: Stability conditions on triangulated categories, Ann. of Math. 166 (2007), 317–345.
[5] T. Bridgeland: Stability conditions on K3 surfaces, Duke Math. J. 141 (2008), 241–291.
[6] J. Collins and A. Polishchuk: Gluing stability conditions, Adv. Theor. Math. Phys. 14 (2010), 563–608.
[7] R. Hartshorne: Algebraic Geometry, Grad. Texts Math. 52, Springer (1971).
[8] K. Kawatani: Stability conditions and μ-stable sheaves on K3 surfaces with Picard number one, Osaka J. Math. 49 (2010), 1005–1034.
[9] C. Li: The Space of Stability Conditions on the Projective Plane, Selecta Math. (N.S.) 23 (2017), 2927– 2945.
[10] E. Macr`ı: Stability conditions on curves, Math. Res. Lett. 14 (2007), 657–672.
[11] E. Macr`ı, S. Mehrotra and P. Stellari: Inducing stability conditions, J. Algebraic Geom. 18 (2009), 605–649.
[12] R. Ohkawa: Moduli of Bridgeland semistable objects on P2, Kodai Math. J. 33 (2010), 329–366.
[13] S. Okada: Stability manifold of P1, J. Algebraic Geom. 15 (2006), 487–505.
[14] D. Orlov: Projective bundles, monoidal transformations, and derived categories of coherent sheaves, Izv. Ross. Akad. Nauk. Ser. Mat. 56 (1992), 852–862.
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