and expect this “twisted” sheaf to contain grading information about "formula_85". In particular, if formula_85 is the sheaf associated to a graded formula_1-module formula_52 we likewise expect it to contain lost grading information about "formula_52". This suggests, though erroneously, that "formula_1" can in fact be reconstructed from these sheaves; asformula_93however, this is true in the case that "formula_1" is a polynomial ring, below. This situation is to be contrasted with the fact that the spec functor is adjoint to the global sections functor in the category of locally ringed spaces.