Mathematics – Algebraic Geometry
Scientific paper
2011-02-07
Mathematics
Algebraic Geometry
A paper by Tsukasa Hayashi is added
Scientific paper
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.
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