Riemann-Roch, Stability and New Non-Abelian Zeta Functions for Number Fields

Details Riemann-Roch, Stability and New Non-Abelian Zeta Functions for Number Fields Riemann-Roch, Stability and New Non-Abelian Zeta Functions for Number Fields

2000-07-25

arxiv.org/abs/math/0007146v3

Mathematics

Algebraic Geometry

Version 2

Scientific paper

In this paper, we introduce a geometrically stylized arithmetic cohomology
for number fields. Based on such a cohomology, we define and study new yet
genuine non-abelian zeta functions for number fields, using an intersection
stability.

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