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math.AG2004★ 3 cited
The Severi problem for Hirzebruch surfaces
Vsevolod Shevchishin
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.
math.AG2002★ 2 cited
On the local version of the Severi problem
V. Shevchishin
For a given singularity of a plane curve we consider the locus of nodal deformations of the singularity with the given number of nodes and describe possible components of the locus…