Scalar extensions of triangulated categories

Details Scalar extensions of triangulated categories Scalar extensions of triangulated categories

2011-09-29

arxiv.org/abs/1109.6515v1

Mathematics

Algebraic Geometry

15 pages, comments welcome

Scientific paper

Given a triangulated category over a field $K$ and a field extension $L/K$, we investigate how one can construct a triangulated category over $L$. Our approach produces the derived category of the base change scheme $X_L$ if the category one starts with is the bounded derived category of a smooth projective variety $X$ over $K$ and the field extension is finite and Galois. We also investigate how the dimension of a triangulated category behaves under scalar extensions.

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