LOGARITHMIC CONNECTIONS ALONG A FREE DIVISOR
The work was supported in part by the Russian Foundation of Basic Research RFBR (projects No. 02-01-00505, 02-01-00623), by the Netherlands Organization for Scientific Research NWO and RFBR (project No. 047-008-005), and by the International Association INTAS (project No. 00-0259).
In this paper we develop an approach to the study of meromorphic connections with logarithmic poles along a Saito free divisor. In particular some properties of Christoffel symbols of such a connection are established. We also compute the sets of all integrable homogeneous meromorphic connections with logarithmic poles along the discriminant of the minimal versal deformation of an A3-singularity and along Sato's hypersurface occurred in the context of the theory of prehomogeneous spaces.
