Extension theorems for reductive group schemes

Details Extension theorems for reductive group schemes Extension theorems for reductive group schemes

2004-06-24

arxiv.org/abs/math/0406508v4

Mathematics

Number Theory

34 pages. A new section on the classification of Lie algebras with perfect Killing forms was added. The last section was refin

Scientific paper

We prove several basic extension theorems for reductive group schemes that
have meaningful crystalline applications to the existence of good integral
models of Shimura varieties of Hodge type. We also prove that each Lie algebra
with a perfect Killing form over a commutative $\dbZ$-algebra, is the Lie
algebra of an adjoint group scheme.

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