On a holomorphic curve extremal for the defect relation (Q2483747)

The paper under review deals with holomorphic curves in the complex projective plane with maximal sum of deficiencies and the following result is obtained: Let \(f: \mathbb{C}\to\mathbb{P}_2(\mathbb{C})\) be a transcendental linearly nondegenarate holomorphic curve and \(X\) a set of lines in \(N\)-subgeneral position in \(\mathbb{P}_2(\mathbb{C})\), where \(N> 2\). Suppose that there are \(q\) lines \({\mathbf a}_1,\dots,{\mathbf a}_q\in X\) such that \(\sum^q_{j=1}\delta({\mathbf a}_j,f)= 2N- 1\). Then there are at least \(N-1\) lines in \({\mathbf a}\in\{{\mathbf a}_1,\dots,{\mathbf a}_q\}\) with \(\delta({\mathbf a},f)= 1\).