Irregularity of an analogue of the Gauss-Manin systems

Details Irregularity of an analogue of the Gauss-Manin systems Irregularity of an analogue of the Gauss-Manin systems

2005-05-04

arxiv.org/abs/math/0505075v1

Mathematics

Algebraic Geometry

Scientific paper

In the D-modules theory, Gauss-Manin systems are defined by the direct image of the structure sheaf O by a morphism. A major theorem says that these systems have only regular singularities. This paper examines the irregularity of an analogue of the Gauss-Manin systems. It consists in the direct image complex of a D-module twisted by the exponential of a polynomial g by another polynomial f, where f and g are two polynomials in two variables. The analogue of the Gauss-Manin systems can have irregular singularities (at finite distance and at infinity). We express an invariant associated with the irregularity of these systems by the geometry of the map (f,g).

Affiliated with

Also associated with

No associations

Rating

Irregularity of an analogue of the Gauss-Manin systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Irregularity of an analogue of the Gauss-Manin systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Irregularity of an analogue of the Gauss-Manin systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-592241