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In this paper, we introduce a method for resolving singularities of Galois closure covers for 5-fold covers between smooth surfaces. Applying this method, we determine types of singular fibers of a fa...mily of Galois closure curves for plane sextic curves. Consequently,we obtain an explicit construction of smooth projective minimal surfaces of general type with positive indices obtained as families of Galois closure curves of smooth plane sextic curves.続きを見る
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