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Web page: Alexandru I. Suciu | Created: December 2, 1999 |
| Maintained by: Hal Schenck | URL: http://www.math.neu.edu/~GASC/gas/dolgachev.html |
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| Birational maps defined by partials of a homogeneous polynomial |
| Abstract:We shall discuss the following problem: for which homogeneous polynomials F(z_1,...,z_n) does the map z -> dF(z) define a birational automorphism of the projective space P^{n-1} or, equivalently, when is the map z -> d log F(z) rationally invertible? Many examples of such F arise from the theory of prehomogeneous vector spaces. We shall explain these examples and also give the complete list of the polynomials F when n <= 3. |
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Web page: Alexandru I. Suciu | Created: December 2, 1999 |
| Maintained by: Hal Schenck | URL: http://www.math.neu.edu/~GASC/gas/dolgachev.html |