WebMay 21, 2024 · The notion of stability conditions on a triangulated category is introduced by Bridgeland [].The existence of stability conditions on three-dimensional projective varieties, and more specifically on Calabi–Yau threefolds, is often considered as one of the biggest open problem in the theory of Bridgeland stability conditions in recent years. WebApr 12, 2024 · We also explain stability conditions on an abelian surface and its application to the birational map of the moduli spaces induced by Fourier–Mukai transforms ... Yoshioka, K.: Bridgeland’s stability and the positive cone of the moduli spaces of stable objects on an abelian surface. Adv. Stub. Pure Math. 69, 473–537 (2016)
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WebBridgeland stability. Much of the recent progress in the birational geometry of moduli spaces of sheaves is inspired by Bridgeland stability. In x5, we will recall the de nition. Bridgeland [Br1] proves that the space of stability conditions Stab(X) on the derived category of a smooth projective variety Xis a complex manifold. WebJun 7, 2024 · Bridgeland stability manifolds of Calabi-Yau categories are of noticeable interest both in mathematics and in physics. By looking at some of the known example, a pattern clearly emerges and gives a fairly precise description of how they look like. hidan e sn
POLYNOMIAL BRIDGELAND STABILITY CONDITIONS AND …
Title: Bounding Optimality Gaps for Non-Convex Optimization Problems: … WebMar 25, 2011 · We construct new t-structures on the derived category of coherent sheaves on smooth projective threefolds. We conjecture that they give Bridgeland stability conditions near the large volume limit. We show that this conjecture is equivalent to a BogomolovGieseker type inequality for the third Chern character of certain stable … WebTheorem 1.3. Bridgeland stability conditions on Xexist when Xis an abelian threefold, or a Calabi-Yau threefold of abelian type, or a Kummer threefold. Support property. The notion of support property of a Bridgeland stability condition is cru-cial in order to apply the main result of [Bri07], namely that the stability condition can be de- ezetimibe teva bugiardino