73 citations · 114 across the 17 of their papers we have counts for
16 papers · 1 filter
Harder-Narasimhan games
Huayi Chen, Marion Jeannin
In this article, we study the notion of semi-stability and the Harder-Narasimhan filtration from a game-theoretic point of view. This allows us to provide a unified proof for the e…
Hilbert-Samuel formula and positivity over adelic curves
Huayi Chen, Atsushi Moriwaki
We establish, in the setting of Arakelov geometry over adelic curves, an arithmetic Hilbert-Samuel theorem describing the asymptotic behaviour of the metrized graded linear series…
Arithmetic intersection theory over adelic curves
Huayi Chen, Atsushi Moriwaki
We establish an arithmetic intersection theory in the framework of Arakelov geometry over adelic curves. To each projective scheme over an adelic curve, we associate a multi-homoge…
Arakelov theory on arithmetic surfaces over a trivially valued field
Huayi Chen, Atsushi Moriwaki
In this article, we consider an analogue of Arakelov theory of arithmetic surfaces over a trivially valued field. In particular, we establish an arithmetic Hilbert-Samuel theorem a…
Arakelov geometry over adelic curves
Huayi Chen, Atsushi Moriwaki
The purpose of this book is to build up the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for the researches of arithmetic geometry in…
On subfiniteness of graded linear series
Huayi Chen, Hideaki Ikoma
Hilbert's 14th problem studies the finite generation property of the intersection of an integral algebra of finite type with a subfield of the field of fractions of the algebra. It…