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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.
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Date: |
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Start Time: |
14:30 |
Speaker: |
Nivaldo Medeiros (Univ. Fluminense, Brazil)
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Institution: |
Universidade Fluminense, Brasil
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Place: |
Room 5.5, DMat
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Research Groups: |
-Algebra and Combinatorics
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See more:
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