Polar Cremona transformations.

DOI10.1307/mmj/1030132714zbMath1080.14511arXivmath/0005048OpenAlexW1992680657MaRDI QIDQ5954557

Igor V. Dolgachev

Publication date: 4 February 2002

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005048

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Configurations and arrangements of linear subspaces (14N20)

Related Items (31)

Segre Classes and Invariants of Singular Varieties ⋮ The \textit{XJC}-correspondence ⋮ Polar degree of hypersurfaces with 1-dimensional singularities ⋮ Cremona transformations and some related algebras ⋮ LOCAL FUNCTIONAL EQUATIONS ATTACHED TO THE POLARIZATIONS OF HOMALOIDAL POLYNOMIALS ⋮ LINES ON HOLOMORPHIC CONTACT MANIFOLDS AND A GENERALIZATION OF -DISTRIBUTIONS TO HIGHER DIMENSIONS ⋮ Polar degree and vanishing cycles ⋮ A characteristic-free criterion of birationality ⋮ Gaussian Likelihood Geometry of Projective Varieties ⋮ Cubic forms having matrix factorizations by Hessian matrices ⋮ Logarithmic Hesse's problem ⋮ Prehomogeneous vector spaces obtained from triangle arrangements ⋮ On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces ⋮ Euler characteristics of general linear sections and polynomial Chern classes ⋮ The entropic discriminant ⋮ Mixed multiplicities, Hilbert polynomials and homaloidal surfaces ⋮ Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian ⋮ Plane polar Cremona maps of arbitrarily large degree in positive characteristic ⋮ Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties ⋮ Prolongations of infinitesimal automorphisms of cubic hypersurfaces with nonzero Hessian ⋮ On homaloidal polynomials ⋮ Milnor numbers of projective hypersurfaces with isolated singularities ⋮ Homology of homogeneous divisors ⋮ Linear precision for toric surface patches ⋮ Unexpected surfaces singular on lines in \(\mathbb{P}^3\) ⋮ A geometrical approach to Gordan-Noether's and Franchetta's contributions to a question posed by Hesse ⋮ An ideal-theoretic approach to Keller maps ⋮ The maximum likelihood degree of a very affine variety ⋮ On Huh’s conjectures for the polar degree ⋮ On the Jacobian ideal of an almost generic hyperplane arrangement ⋮ Lê Cycles and Numbers of Hypersurface Singularities

This page was built for publication: Polar Cremona transformations.