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

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Bibliographische Detailangaben
1. Verfasser:	Liu, Chunhui
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Algebraic Geometry
Online-Zugang:	Acceder al recurso
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_version_	1866912075011325952
author	Liu, Chunhui
author_facet	Liu, Chunhui
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2410_12821
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces Liu, Chunhui Algebraic Geometry 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.
title	Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces
topic	Algebraic Geometry
url	https://arxiv.org/abs/2410.12821

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