Stability of pencils of plane sextics and Halphen pencils of index two

Abstract

We study the stability of pencils of plane sextics in the sense of geometric invariant theory. In particular, we obtain a complete and geometric description of the stability of Halphen pencils of index two.

21 pages

References in corpus (1)

• Stability of pencils of plane curves, log canonical thresholds and multiplicities

Cited by in corpus (3)

• Explicit Constructions of Halphen Pencils
• On boundedness and moduli spaces of K-stable Calabi-Yau fibrations over curves
• The moduli space of rational elliptic surfaces of index two