Geometry of Numbers

Abstract

We develop a global cohomology theory for number fields by offering topological cohomology groups, an arithmetical duality, a Riemann-Roch type theorem, and two types of vanishing theorem. As applications, we study moduli spaces of semi-stable lattices, and introduce non-abelian zeta functions for number fields.

A paper by Tsukasa Hayashi is added

References in corpus (1)

• Functional equations for Weng's zeta functions for $(G,P)/\mathbb{Q}$