光滑代数品种上半稳定束的逼近

Pub Date : 2024-10-21 DOI:10.1016/j.jalgebra.2024.10.015
Adrian Langer
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引用次数: 0

摘要

我们证明了一些关于强半稳态束的近似结果,这些强半稳态束的滤波具有消失的数值切恩类,其商数是具有相似斜率的线束。这概括了 Parameswaran-Subramanian 早先在曲线情况下和 Koley-Parameswaran 在曲面情况下的一些结果,并证实了 Koley 和 Parameswaran 提出的猜想。
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Approximation of semistable bundles on smooth algebraic varieties
We prove some strong results on approximation of strongly semistable bundles with vanishing numerical Chern classes by filtrations, whose quotients are line bundles of similar slope. This generalizes some earlier results of Parameswaran–Subramanian in the curve case and Koley–Parameswaran in the surface case and it confirms the conjecture posed by Koley and Parameswaran.
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