42 citations · 119 across the 37 of their papers we have counts for
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math.NT2017★ 10 cited
Arithmetic Gauge Theory: A Brief Introduction
Minhyong Kim
Much of arithmetic geometry is concerned with the study of principal bundles. They occur prominently in the arithmetic of elliptic curves and, more recently, in the study of the Di…
math.AG2017★ 1 cited
Mirror symmetry, mixed motives and
Minhyong Kim, Wenzhe Yang
In this paper, we present an application of mirror symmetry to arithmetic geometry. The main result is the computation of the period of a mixed Hodge structure, which lends evidenc…
math.NT2017
Abelian arithmetic Chern-Simons theory and arithmetic linking numbers
Hee-Joong Chung, Dohyeong Kim, Minhyong Kim +3
Following the method of Seifert surfaces in knot theory, we define arithmetic linking numbers and height pairings of ideals using arithmetic duality theorems, and compute them in t…