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arXiv · 2410.12821

Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces

Chunhui Liu
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Abstract

In this article, we give an explicit and uniform lower bound of the arithmetic Hilbert-Samuel function of projective hypersurfaces, which has the optimal dominant term. As an application, we apply this lower bound in the determinant method.

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Chunhui Liu. 2024-10-01. Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces. https://arxiv.org/abs/2410.12821

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