Jungin Lee

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math.NT2019

On a number of isogeny classes of simple abelian varieties over finite fields

Jungin Lee

In this paper, we investigate the asymptotic behavior of the number $s_{q} (g)$ of isogeny classes of simple abelian varieties of dimension $g$ over a finite field $F_{q}$ . We…

math.NT2019

Arithmetic Chern-Simons theory for arithmetic schemes

Jungin Lee

In this paper, we generalize the arithmetic Chern-Simons theory to regular flat separated schemes of finite type over rings of integers of number fields by applying the duality the…

math.NT2016

On a sum of positive rational numbers whose product is 1

Jungin Lee

In this note, we prove that for every two positive integers $m \geq n \geq 9$ , there exist $n$ positive rational numbers whose product is 1 and sum is $m$ .