On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$
نویسندگان
چکیده
منابع مشابه
Counting Curves of Any Genus on Rational Ruled Surfaces
In this paper we study the geometry of the Severi varieties parametrizing curves on the rational ruled surface Fn. We compute the number of such curves through the appropriate number of fixed general points on Fn (Theorem 1.1), and the number of such curves which are irreducible (Theorem 1.3). These numbers are known as Severi degrees; they are the degrees of unions of components of the Hilbert...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1960
ISSN: 2156-2261
DOI: 10.1215/kjm/1250776405