K. Sugahara

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2016

Arithmetic Central Extensions and Reciprocity Laws for Arithmetic Surface

Kotaro Sugahara, Lin Weng

Three types of reciprocity laws for arithmetic surfaces are established. For these around a point or along a vertical curve, we first construct $K_{2}$ type central extensions, then…

math.AG2016★ 1 cited

H^1_ar for arithmetic surface is finite

Kotaro Sugahara, Lin Weng

For an arithmetic surface X and a Weil divisor $D$ , there are natural arithmetic cohomology groups $H_{ar}^{i} (X, O_{X} (D))$ $(i = 0, 1, 2)$ . Using ind-pro topology on a…

math.AG2015★ 2 cited

Arithmetic Cohomology Groups

K. Sugahara, L. Weng

We first introduce global arithmetic cohomology groups for quasi-coherent sheaves on arithmetic varieties, adopting an adelic approach. Then, we establish fundamental properties, s…