T-structures on the derived categories of D-modules and O-modules

Details T-structures on the derived categories of D-modules and O-modules T-structures on the derived categories of D-modules and O-modules

2003-02-08

arxiv.org/abs/math/0302086v2

Mathematics

Algebraic Geometry

submitted to Moscow Mathematical Journal, added the remark on Math.AG/0005152 by Roman Bezrukavnikov, typos corrected

Scientific paper

We give the description of the t-structure on the derived category of regular
holonomic D-modules corresponding to the trivial t-structure on the derived
category of constructible sheaves via Riemann-Hilbert correspondence. We give
also the condition for a decreasing sequence of families of supports to give a
t-structure on the derived category of coherent O-modules.

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