  We introduce a tensor compatibility condition for t-structures. For any
Noetherian scheme $X$, we prove that there is a one-to-one correspondence
between the set of filtrations of Thomason subsets and the set of aisles of
compactly generated tensor compatible t-structures on the derived category of
$X$. This generalizes the earlier classification of compactly generated
t-structures for commutative rings to schemes. Hrbek and Nakamura have
reformulated the famous telescope conjecture for t-structures. As an
application of our main theorem, we prove that a tensor version of the
conjecture is true for separated Noetherian schemes.
