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Irreducible plane curves with the Albanese dimension 2

Authors:	Hiro-o Tokunaga

Institution:	Department of Mathematics and Information Science, Kochi University, Kochi 780, Japan

Abstract:	Let be a plane curve given by an equation $F(X_{0}, X_{1}, X_{2}) = 0$ , and let $B_{a}$ be the affine plane curve given by . Let $S_{n}$ denote a cyclic covering of ${\mathbf{P}}^{2}$ determined by $z^{n} = f(x, y)$ . The number $\max _{ n \in {\mathbf{N}}} \left ( \text{\rm dim} \, Im(S_{n} \to Alb (S_{n})) \right )$ is called the Albanese dimension of $B_{a}$ . In this article, we shall give examples of $B_{a}$ with the Albanese dimension 2.

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