## Generalized tensor idempotents and the telescope conjecture

We transpose Rickard's construction of idempotent representations to the general context of tensor triangulated categories. We connect our construction to the telescope conjecture and prove that the latter is of local nature. As an illustration, we extend the affine telescope theorem of Neeman to arbitrary noetherian schemes. We also develop supports for non-compact objects.

Published in:
Proceedings Of The London Mathematical Society, 102, 1161-1185
Year:
2011
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