Add to ORKGWe prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed as a sum of non-negative numbers which quantify local vanishing cycles of two different types. This yields lower bounds for the polar degree of any singular projective hypersurface
AbstractRecall that the flag complex of a geometry is the complex whose points are objects and simpl...
We prove a factorization theorem for the polars of plane singularities with respect to the Newton di...
Contains fulltext : 231821pre.pdf (preprint version ) (Closed access) ...
We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed ...
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 ...
International audienceWe have developed in the past several algorithms with intrinsic complexity bou...
We introduce and study the vanishing homology of singular projective hypersurfaces. We prove its con...
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzin...
Using the Newton polygon we prove a factorization theorem for the local polar curves. Then we give s...
The problem of determining the least degree of plane curves vanishing at given points with certain m...
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary t...
AbstractRecall that the flag complex of a geometry is the complex whose points are objects and simpl...
We prove a factorization theorem for the polars of plane singularities with respect to the Newton di...
Contains fulltext : 231821pre.pdf (preprint version ) (Closed access) ...
We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed ...
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 ...
International audienceWe have developed in the past several algorithms with intrinsic complexity bou...
We introduce and study the vanishing homology of singular projective hypersurfaces. We prove its con...
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzin...
Using the Newton polygon we prove a factorization theorem for the local polar curves. Then we give s...
The problem of determining the least degree of plane curves vanishing at given points with certain m...
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary t...
AbstractRecall that the flag complex of a geometry is the complex whose points are objects and simpl...
We prove a factorization theorem for the polars of plane singularities with respect to the Newton di...
Contains fulltext : 231821pre.pdf (preprint version ) (Closed access) ...