3 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
A Note on Arithmetic Cohomologies for Number Fields
Lin Weng
As a part of our program for Geometric Arithmetic, we develop an arithmetic cohomology theory for number fields using theory of locally compact groups.
A Program For Geometric Arithmetic
Lin Weng
Proposed is a program for what we call Geometric Arithmetic, based on our works on non-abelian zeta functions and non-abelian class field theory. Key words are stability and adelic…
Non-Abelian Class Field Theory for Riemann Surfaces
Lin Weng
In this paper, using what we call a micro reciprocity law, we complete Weil's program for non-abelian class field theory of Riemann surfaces.
Constructions of Non-Abelian Zeta Functions for Curves
Lin WENG
In this paper, we introduce (local and) global non-abelian zeta functions for general curves. As an example, we compute the so-called rank two zeta functions for genus two curves b…
Refined Brill-Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves
Lin WENG
New local and global non-abelian zeta functions for elliptic curves are studied using certain refined Brill-Noether loci in moduli spaces of semi-stable bundles. Examples of these…