Local negativity of surfaces with non-negative Koidara dimension and transversal configurations of curves

Abstract

We give a bound on the H-constants of configurations of smooth curves having transversal intersection points only on an algebraic surface of non-negative Kodaira dimension. We also study in detail configurations of lines on smooth complete intersections $X\subset {\mathbb{P}}_{\mathbb{C}}^{n+2}$ of multi-degree $d=(d_1,\dots ,d_n)$, and we provide a sharp and uniform bound on their H-constants, which only depends on $d$.

11 pages. This is the final version incorporating referee's remarks. To appear in Glasgow Mathematical Journal

References in corpus (3)

• Bounded Negativity and Arrangements of Lines
• Bounded negativity, Harbourne constants and transversal arrangements of curves
• On the local negativity of surfaces with numerically trivial canonical class

Cited by in corpus (1)

• Towards the weighted bounded negativity conjecture for blow-ups of algebraic surfaces