Abstract
In this paper we discuss briefly some new problems of modern cosmology which arose after the BOOMERANG and MAXIMA-1 successful missions. We focus on statistics of high peaks of the CMB anisotropy and discuss possible inner structure of such peaks in the future observational data of MAP and PLANCK missions. We have investigated geometrical and statistical properties of the CMB polarization around such isolated high peaks of anisotropy in the presence of a polarized pixel noise and point sources. The structure of polarization fields in the vicinity of singular points with zero polarization is very sensitive to the level of pixel noises and point sources in the CMB maps.
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