On the Bounded Negativity Conjecture and Singular Plane Curves
On the Bounded Negativity Conjecture and Singular Plane Curves
There are no known failures of Bounded Negativity in characteristic 0. In the light of recent work showing the Bounded Negativity Conjecture fails in positive characteristics for rational surfaces, we propose new characteristic free conjectures as a replacement.We also develop bounds on numerical characteristics of curves constraining their negativity.For example, …