21 citations · 45 across the 8 of their papers we have counts for
3 papers · 1 filter
On the topology of arrangements of a cubic and its inflectional tangents
Shinzo Bannai, Benoît Guerville-Ballé, Taketo Shirane +1
A -Artal arrangement is a reducible algebraic curve composed of a smooth cubic and inflectional tangents. By studying the topological properties of their subarrangements, we…
Non-homotopicity of the linking set of algebraic plane curves
Benoît Guerville-Ballé, Taketo Shirane
The linking set is an invariant of algebraic plane curves introduced by Meilhan and the first author. It has been successfully used to detect several examples of Zariski pairs, i.e…
A linking invariant for algebraic curves
Benoît Guerville-Ballé, Jean-Baptiste Meilhan
We construct a topological invariant of algebraic plane curves, which is in some sense an adaptation of the linking number of knot theory. This invariant is shown to be a generaliz…