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Regularity for elliptic pairs over \(\mathbb C [[\hbar ]]\) - MaRDI portal

Regularity for elliptic pairs over \(\mathbb C [[\hbar ]]\) (Q2438312)

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Regularity for elliptic pairs over \(\mathbb C [[\hbar ]]\)
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    Regularity for elliptic pairs over \(\mathbb C [[\hbar ]]\) (English)
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    11 March 2014
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    Summary: We extend the results of \textit{P. Schapira} and \textit{J.-P. Schneiders} [Astérisque 224, 5--60 (1994; Zbl 0856.58038)] on relative regularity, finiteness and duality (in the smooth case) of elliptic pairs to the framework of \(\mathcal D [[\hbar ]]\)-modules and constructible sheaves of \(\mathbb C [[\hbar ]]\)-modules.
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    modules over the ring of formal differential operators
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    finiteness and duality properties
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