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arXiv · 1109.6515

Scalar extensions of triangulated categories

Pawel Sosna
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Abstract

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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Pawel Sosna. 2011-09-29. Scalar extensions of triangulated categories. https://doi.org/10.1007/s10485-012-9297-0

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