nLab arithmetic geometry

Arithmetic geometry is a branch of algebraic geometry studying schemes (usually of finite type) over the spectrum $\mathrm{Spec}ℤ$ of ring of integers for number theoretic purposes; usually one complements this with some data “at infinite prime” leading to a more modern notion of an arithmetic scheme (cf. Arakelov geometry).

• “Arakelov geometry preprint arxiv”, list of links

• C. Soulé, D. Abramovich, J. F. Burnol, J. K. Kramer, Lectures on Arakelov Geometry, Cambridge Studies in Advanced Mathematics 33, 188 pp.

• conferences in arithmetic geometry, at Kiran Kedlaya’s wiki