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On the comparison theorem for elementary irregular D-modules

Published online by Cambridge University Press:  22 January 2016

Claude Sabbah
Claude Sabbah*
Affiliation:
URA 169 du C.N.R.S. Centre de Mathématiques Ecole Polytechnique, F-91128 Palaiseau cedex, France e-mail: sabbah@math.polytechnique.fr
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Let U be a smooth quasi-projective variety over C and let f be a regular function on U. Let DU be the sheaf of algebraic differential operators on U and let M be a regular holonomic DU-module: here, regular means that there exists some smooth compactification X of U and some extension of M as a DX-module which is regular holonomic on X (one also may avoid the use of a smooth compactification to define regularity, see [17]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 141 , March 1996 , pp. 107 - 124
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

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