Add to ORKGWe prove a formula for the polar degree of projective hypersurfaces in terms of the Milnor data of the singularities, extending to 1-dimensional singularities the Dimca-Papadima result for isolated singularities. We discuss the semi-continuity of the polar degree in deformations, and we classify the homaloidal cubic surfaces with 1-dimensional singular locus. Some open questions are pointed out along the way
We show that if the complement of a Donaldson hypersurface in a closed, integral symplectic manifold...
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzin...
Contains fulltext : 231821pre.pdf (preprint version ) (Closed access) ...
We prove a formula for the polar degree of projective hypersurfaces in terms of the Milnor data of t...
International audienceWe prove a precise version of a general conjecture on the polar degree stated ...
We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed ...
We have developed in the past several algorithms with intrinsic complexity bounds for the problem of...
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary t...
We study conditions under which a point of a Riemannian surface has a neighborhood that can be param...
We give some formulae for the Milnor number of isolated surface singularities that are defined by an...
Using the Newton polygon we prove a factorization theorem for the local polar curves. Then we give s...
Many classical results in algebraic geometry arise from investigating some extremal behaviors that a...
International audienceWe undertake a systematic study of Lipschitz Normally Embedded normal complex ...
We prove a factorization theorem for the polars of plane singularities with respect to the Newton di...
Preprint enviat per a la seva publicació en una revista científica; Manuscripta mathematica, 1983, v...
We show that if the complement of a Donaldson hypersurface in a closed, integral symplectic manifold...
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzin...
Contains fulltext : 231821pre.pdf (preprint version ) (Closed access) ...
We prove a formula for the polar degree of projective hypersurfaces in terms of the Milnor data of t...
International audienceWe prove a precise version of a general conjecture on the polar degree stated ...
We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed ...
We have developed in the past several algorithms with intrinsic complexity bounds for the problem of...
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary t...
We study conditions under which a point of a Riemannian surface has a neighborhood that can be param...
We give some formulae for the Milnor number of isolated surface singularities that are defined by an...
Using the Newton polygon we prove a factorization theorem for the local polar curves. Then we give s...
Many classical results in algebraic geometry arise from investigating some extremal behaviors that a...
International audienceWe undertake a systematic study of Lipschitz Normally Embedded normal complex ...
We prove a factorization theorem for the polars of plane singularities with respect to the Newton di...
Preprint enviat per a la seva publicació en una revista científica; Manuscripta mathematica, 1983, v...
We show that if the complement of a Donaldson hypersurface in a closed, integral symplectic manifold...
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzin...
Contains fulltext : 231821pre.pdf (preprint version ) (Closed access) ...