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On the Comparison Theorem for Elementary Irregular DModules
, 1996
"... this article are more or less known to specialists, but do not seem to exist with enough generality in the literature. 2 We shall assume that the reader is familiar with the theories of algebraic D ..."
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Cited by 6 (2 self)
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this article are more or less known to specialists, but do not seem to exist with enough generality in the literature. 2 We shall assume that the reader is familiar with the theories of algebraic D
Monodromy at infinity and Fourier transform
 RIMS, Kyoto Univ
, 1997
"... This paper proposes to recover this limit mixed Hodge structure using Fourier transform techniques. The main object is the D X [ ]h@ imodule +E ..."
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Cited by 5 (1 self)
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This paper proposes to recover this limit mixed Hodge structure using Fourier transform techniques. The main object is the D X [ ]h@ imodule +E
Semicontinuity of the Spectrum At Infinity
"... Introduction Let U be an affine manifold and let f : U ! C be a nonconstant regular function with only isolated critical points in U . We say that f is cohomologically tame if there exists an extension f : X ! C of f with X quasiprojective and f proper, such that for any c 2 C, the support of the ..."
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Cited by 4 (3 self)
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Introduction Let U be an affine manifold and let f : U ! C be a nonconstant regular function with only isolated critical points in U . We say that f is cohomologically tame if there exists an extension f : X ! C of f with X quasiprojective and f proper, such that for any c 2 C, the support of the vanishing cycle sheaf of the function f \Gamma c with coefficients in the sheaf j ! Q U , or equivalently in the complex Rj Q U , does not meet X \Gamma U (j is the inclusion of U in X and j ! denotes the extension by 0). In particular f is onto. This condition is satisfied if and only if j ! Q U or equivalently Rj Q U is noncharacteristic with respect to f (see e.g. [10, propdef. 1.1]), i.e., choosing an embedding of f into F : X ! C with X smooth, there are no points (x; dF (x)) in the characteristic variety (or microssuport, see [5]) Car j ! Q U ae T X such that x 2 X \Gamma U and dF (x) 6= 0. We say that f is Mtame ([9]) if for some closed embedding U ae C (i.e. for some pr