Polar Cremona transformations

Details Polar Cremona transformations Polar Cremona transformations

2000-05-04

arxiv.org/abs/math/0005048v2

Mathematics

Algebraic Geometry

11 pages, to appear in Mich. Math. Journal, vol. 48, 2000

Scientific paper

In this paper we address the following question arising from the work of P. Etingof, D. Kazhdan and A. Polishchuk (math.AG/0003009): given a homogeneous complex polynomial, when the rational map defined by its partials is of degree 1? We answer this question for reduced polynomials in three variables and also for reduced polynomials in four variables which factor into the product of linear polynomials.

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