Stability of holonomicity over quasi-projective varieties

Details Stability of holonomicity over quasi-projective varieties Stability of holonomicity over quasi-projective varieties

2008-10-01

arxiv.org/abs/0810.0304v3

Mathematics

Algebraic Geometry

Scientific paper

Let $\V$ be a mixed characteristic complete discrete valuation ring with perfect residue field $k$. We solve Berthelot's conjectures on the stability of the holonomicity over smooth projective formal $\V$-schemes. Then we build a category of complexes of arithmetic $\D$-modules over quasi-projective $k$-varieties with bounded, $F$-holonomic cohomology. We get its stability under Grothendieck's six operations.

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