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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2004 Volume 4, Number 4, Pages 847–868 (Mi mmj173)

This article is cited in 31 papers

$t$-structures on the derived categories of holonomic $\\mathscr D$-modules and coherent $\mathscr O$-modules

M. Kashiwara

Kyoto University

Abstract: We give the description of the $t$-structure on the derived category of regular holonomic $\mathscr D$-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 $\mathscr O$-modules.

Key words and phrases: $\mathscr D$-modules, $t$-structures, Riemann–Hilbert correspondence.

MSC: Primary 32C38; Secondary 18E30

Received: February 8, 2003

Language: English

DOI: 10.17323/1609-4514-2004-4-4-847-868



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