3 papers
math.KT2022
Borel's rank theorem for Artin -functions
Ningchuan Zhang
Borel's rank theorem identifies the ranks of algebraic -groups of the ring of integers of a number field with the orders of vanishing of the Dedekind zeta function attached to t…
math.MG2022
Ulam floating functions
Chunyan Liu, Elisabeth M. Werner, Deping Ye +1
We extend the notion of Ulam floating sets from convex bodies to Ulam floating functions. We use the Ulam floating functions to derive a new variational formula for the affine surf…
math.CA2020
The weak convergence of varifolds generated by rectifiable flat G-chains
Chunyan Liu, Yangqin Fang, Ning Zhang
In the present paper, we prove that the convergence of rectifiable chains in flat norm implies the weak convergence of associated rectifiable varifolds if the limit flat chain is r…