A homogeneous polynomial is said homaloidal if its gradient map is a birational isomorphism. In this paper it is proven in any characteristic a conjecture by Dolgachev: a non reduced polynomial is homaloidal if and only if its reduction is homaloidal
Bruno, A. (2007). On homaloidal polynomials. MICHIGAN MATHEMATICAL JOURNAL, 55(2), 347-354.
On homaloidal polynomials
BRUNO, Andrea
2007-01-01
Abstract
A homogeneous polynomial is said homaloidal if its gradient map is a birational isomorphism. In this paper it is proven in any characteristic a conjecture by Dolgachev: a non reduced polynomial is homaloidal if and only if its reduction is homaloidalFile in questo prodotto:
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