On Severi Varieties on Hirzebruch Surfaces

By Ilya Tyomkin. 2006

54 citations recorded by the source corpus.

In the current paper we prove that any Severi variety on a Hirzebruch surface contains a unique component parameterizing irreducible nodal curves of the given genus in characteristic zero.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/74a506914363c6084b1cd94fd260aa60977099a7

Citations in the corpus

• Algebraic K-theory of toric hypersurfaces (2008, unknown): “[57,80] If V irr σ != ∅, its Zariski closure V irr σ (the so-called Severi variety) is a codimension∗(σ) irreducible subvariety of P (σ)−1.”