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math.AG2018
Explicit uniform estimate of arithmetic Hilbert-Samuel function of hypersurfaces
Chunhui Liu
In this paper, we will give an upper bound and a lower bound of the arithmetic Hilbert-Samuel function of projective hypersurfaces, which are uniform and explicit. These two bounds…
math.AG2017★ 1 cited
Counting Multiplicities in a Hypersurface over a Number Field
Hao Wen, Chunhui Liu
We fix a counting function of multiplicities of algebraic points in a projective hypersurface over a number field, and take the sum over all algebraic points of bounded height and…
math.AG2016
Fibres non réduites d'un schéma arithmétique
Chunhui Liu
For a reduced projective scheme over the ring of integers of a number field, the set of places over which the fibres of the scheme are not reduced is a finite set. We give an expli…