希尔伯特方案和塞沙德里常数

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-15 DOI:arxiv-2409.09694

Jonas Baltes

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引用次数: 0

摘要

在本文中，我们将提出一种研究塞沙德里常数的新方法，即通过（嵌套）希尔伯特方案。这将使我们能够利用后一种空间的几何学，例如通过布里奇兰稳定性条件计算奈夫锥来获得关于塞沙德里常数的新见解和界限。此外，事实证明，许多已知的塞沙德里常数会在希尔伯特方案的可动锥壁和室分解中出现。

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Hilbert Schemes and Seshadri Constants

In this paper we will propose a new method to investigate Seshadri constants, namely by means of (nested) Hilbert schemes. This will allow us to use the geometry of the latter spaces, for example the computations of the nef cone via Bridgeland stability conditions to gain new insights and bounds on Seshadri constants. Moreover, it turns out that many known Seshadri constants turn up in the wall and chamber decomposition of the movable cone of Hilbert schemes.

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arXiv - MATH - Algebraic Geometry

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