We prove that 2 d , 2 d - 3 ( d - 1 ) 2 , 2 d - 1 d ( d - 1 ) , 2 d - 5 d 2 - 3 d + 1 and 2 d - 3 d ( d - 2 ) are the smallest log canonical thresholds of reduced plane curves of degree d ⩾ 3 , and we describe reduced plane curves of degree d ... ...

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