The Severi problem for Hirzebruch surfaces

Abstract

We prove that the locus of irreducible nodal curves on a given Hirzebruch surface F_k of given linear equivalency class and genus g is irreducible.

30 pages

References in corpus (1)

• Pseudoholomorphic curves and the symplectic isotopy problem

Cited by in corpus (2)

• On Severi varieties on Hirzebruch surfaces
• On Severi varieties and Moduli spaces of curves in arbitrary characteristic