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arxiv: math/0607807 · v1 · submitted 2006-07-31 · 🧮 math.AG

On Severi varieties on Hirzebruch surfaces

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keywords hirzebruchsevericharacteristiccomponentcontainscurrentcurvesgenus
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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.

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