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Generalized tensor idempotents and the telescope conjecture
Author(s) -
Balmer Paul,
Favi Giordano
Publication year - 2011
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdq050
Subject(s) - mathematics , conjecture , pure mathematics , tensor (intrinsic definition) , telescope , algebra over a field , astronomy , physics
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.