Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces
Algebraic Geometry
2024-10-18 v1
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.
Keywords
Cite
@article{arxiv.2410.12821,
title = {Uniform lower bound of arithmetic Hilbert--Samuel function of hypersurfaces},
author = {Chunhui Liu},
journal= {arXiv preprint arXiv:2410.12821},
year = {2024}
}
Comments
46 pages. arXiv admin note: substantial text overlap with arXiv:1808.03451