Polar maps, foliations, characteristic classes
 
 
Description:  To each hypersurface X in the projective n-space, we associate a rational map Pn--->Pn, called its polar map, given simply by the partial derivatives of the polynomial that defines X. This is a classical theme in projective geometry; the central problem is the classification of homaloidal hypersurfaces, that is, those with a birational polar map. In the last two decades there has been a significant progress on the subject, with new results coming from many different areas.

In this talk we present our approach, which is done via two different perspectives: holomorphic foliations and characteristic classes. We also give some applications and a brief report on ways to deal with more general situations.
Date:  2014-06-18
Start Time:   14:30
Speaker:  Nivaldo Medeiros (Univ. Fluminense, Brazil)
Institution:  Universidade Fluminense, Brasil
Place:  Room 5.5, DMat
Research Groups: -Algebra and Combinatorics
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