Add to ORKGWe describe a topological relationship between slices of the parameter space of cubic maps. In the paper \cite{CP1}, Milnor defined the curves $\mathcal{S}_n$ as the set of all cubic polynomials with a marked critical point of period $p$. In this paper, we will describe a relationship between the boundaries of the connectedness loci in the curves $\mathcal{S}_1$ and $\mathcal{S}_2$.Comment: 21 pages, 12 figure
Abstract. Let Md be the moduli space of one-dimensional complex polynomial dynamical systems. The es...
The surface of lines in a cubic fourfold intersecting a fixed line splitsmotivically into two parts,...
Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old...
We investigate a relationship between escape regions in slices of the parameter space of cubic polyn...
In this note we fill in some essential details which were missing from our paper. In the case of an ...
With computers, we are able to construct complicated fractal im-ages that describe the dynamics of c...
We plot the two-dimensional projections of the parameter spaces of the cubic mappings. The projectio...
International audienceWe describe all special curves in the parameter space of complex cubic polynom...
The space of all cubic polynomials is a smooth complex four-manifold. On the otherhand, the moduli s...
26 pagesA cubic polynomial $f$ with a periodic Siegel disk containing an eventual image of a critica...
The secant variety of the Veronese surface is a singular cubic fourfold. The degeneration of Hodge s...
We construct branched coverings such as matings and captures to describe the dynamics of every criti...
We prove that the boundary of every parabolic component in the cubic polynomial slice P er1(1) is a ...
Using a quadratic version of the Bott residue theorem, we give a quadratic refinement of the count o...
We introduce a generalization of the McMullen family fλ(z) = zn + λ/zd. In 1988 C. McMullen showed ...
Abstract. Let Md be the moduli space of one-dimensional complex polynomial dynamical systems. The es...
The surface of lines in a cubic fourfold intersecting a fixed line splitsmotivically into two parts,...
Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old...
We investigate a relationship between escape regions in slices of the parameter space of cubic polyn...
In this note we fill in some essential details which were missing from our paper. In the case of an ...
With computers, we are able to construct complicated fractal im-ages that describe the dynamics of c...
We plot the two-dimensional projections of the parameter spaces of the cubic mappings. The projectio...
International audienceWe describe all special curves in the parameter space of complex cubic polynom...
The space of all cubic polynomials is a smooth complex four-manifold. On the otherhand, the moduli s...
26 pagesA cubic polynomial $f$ with a periodic Siegel disk containing an eventual image of a critica...
The secant variety of the Veronese surface is a singular cubic fourfold. The degeneration of Hodge s...
We construct branched coverings such as matings and captures to describe the dynamics of every criti...
We prove that the boundary of every parabolic component in the cubic polynomial slice P er1(1) is a ...
Using a quadratic version of the Bott residue theorem, we give a quadratic refinement of the count o...
We introduce a generalization of the McMullen family fλ(z) = zn + λ/zd. In 1988 C. McMullen showed ...
Abstract. Let Md be the moduli space of one-dimensional complex polynomial dynamical systems. The es...
The surface of lines in a cubic fourfold intersecting a fixed line splitsmotivically into two parts,...
Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old...