Lattice polygons and families of curves on rational surfaces

Abstract

First we solve the problem of finding minimal degree families on toric surfaces by reducing it to lattice geometry. Then we describe how to find minimal degree families on, more generally, rational complex projective surfaces.

References in corpus (2)

• Lattice polygons and the number 2i+7
• Lattice width directions and Minkowski's 3^d-theorem

Cited by in corpus (5)

• Minimal families of curves on surfaces
• Möbius automorphisms of surfaces with many circles
• A degree bound for families of rational curves on surfaces
• Minimal degree rational curves on real surfaces
• The lattice size of a lattice polygon