4 citations · 8 across the 3 of their papers we have counts for
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Arithmetic Fujita approximation
Huayi Chen
We prove an arithmetic analogue of Fujita's approximation theorem in Arakelov geometry, conjectured by Moriwaki, by using slope method and measures associated to -filtra…
Harder-Narasimhan categories
Huayi Chen
We propose a generalization of Quillen's exact category -- arithmetic exact category and we discuss conditions on such categories under which one can establish the notion of Harder…
Convergence of Harder-Narasimhan polygons
Huayi Chen
We establish in this article convergence results of normalized Harder-Narasimhan polygons both in geometric and in arithmetic frameworks by introducing the Harder-Narasimhan filtra…
Maximal slope of tensor product of Hermitian vector bundles
Huayi Chen
We give an upper bound for the maximal slope of the tensor product of several non-zero Hermitian vector bundles on the spectrum of an algebraic integer ring. By Minkowski's theorem…