On the Resolution of Higher Singularities of Algebraic Curves Into Ordinary Mode

B M Buz M Walker

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In IT, if \ = 0, then p, = 0, against the assumption 1 4= ; hence, \ 4= (44) I; II; III.
(45) Mi By equating the values of \/* 2 — X^ obtained from I and III, we have (46) V 2 /3 2 7 2 - M 1 (a, 6 3 c 3 A + /S, ?, *, ) = 0; and by II, therefore \(a 2 Ab 3 c 3 + ^7, 0, ) - fi^ff^ = 0; a 2&2% «l^ C 3 A + ^2 7 2 a i a 2 6 3 C 3 A + a 2^l7i O^Ti ^^l^l + Oj^^^a + «1«2 6 3 C 3 A -

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