On isoperimetric inequality in Arakelov geometry

Huayi Chen (1)

1 IF - Institut Fourier

We establish an isoperimetric inequality in an integral form and deduce a strong Brunn-Minkowski inequality in the Arakelov geometry setting. (MSC2010 classification: 14G40, 11G30)

Domaines: Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Huayi Chen. On isoperimetric inequality in Arakelov geometry. 2015. ⟨hal-01152356⟩