Add to ORKGIn this paper, we continue the study of the embedded topology of plane algebraic curves. We study the realization space of conic line arrangements of degree $7$ with certain fixed combinatorics and determine the number of connected components. This is done by showing the existence of a Zariski pair having these combinatorics, which we identified as a $\pi_1$-equivalent Zariski pair.Comment: 24 page
In this paper we construct several arrangements of lines and/or conics that are derived from the geo...
We construct a topological invariant of algebraic plane curves, which is in some sense an adaptation...
We construct exponentially large collections of pairwise distinct equisingular deformation families ...
We study the fundamental groups of (the complement of) six plane conic-line arrangements of degree 7...
In a previous work, the third named author found a combinatorics of line arrangements whose realizat...
The purpose of this paper is to exhibit infinite families of conjugate projective curves in a number...
The splitting number of a plane irreducible curve for a Galois cover is effective in distinguishing ...
The splitting number is effective to distinguish the embedded topology of plane curves, and it is no...
In this paper, we introduce splitting numbers of subvarieties in a smooth complex variety for a Galo...
AbstractExamples of Zariski k-plets of rational curve arrangements are given for any k. We use dihed...
For line arrangements in P2 with nice combinatorics (in particular, for those which are nodal away t...
AbstractWe study the topology of the moduli space of septics with the set of singularities B4,4⊕2A3⊕...
We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a ce...
In the present paper, we study arrangements of smooth plane conics having only nodes and tacnodes as...
We study the geometry of $\mathcal{Q}$-conic arrangements in the complex projective plane. These are...
In this paper we construct several arrangements of lines and/or conics that are derived from the geo...
We construct a topological invariant of algebraic plane curves, which is in some sense an adaptation...
We construct exponentially large collections of pairwise distinct equisingular deformation families ...
We study the fundamental groups of (the complement of) six plane conic-line arrangements of degree 7...
In a previous work, the third named author found a combinatorics of line arrangements whose realizat...
The purpose of this paper is to exhibit infinite families of conjugate projective curves in a number...
The splitting number of a plane irreducible curve for a Galois cover is effective in distinguishing ...
The splitting number is effective to distinguish the embedded topology of plane curves, and it is no...
In this paper, we introduce splitting numbers of subvarieties in a smooth complex variety for a Galo...
AbstractExamples of Zariski k-plets of rational curve arrangements are given for any k. We use dihed...
For line arrangements in P2 with nice combinatorics (in particular, for those which are nodal away t...
AbstractWe study the topology of the moduli space of septics with the set of singularities B4,4⊕2A3⊕...
We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a ce...
In the present paper, we study arrangements of smooth plane conics having only nodes and tacnodes as...
We study the geometry of $\mathcal{Q}$-conic arrangements in the complex projective plane. These are...
In this paper we construct several arrangements of lines and/or conics that are derived from the geo...
We construct a topological invariant of algebraic plane curves, which is in some sense an adaptation...
We construct exponentially large collections of pairwise distinct equisingular deformation families ...