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Apéry basis and polar
invariants of plane curve singularities
Angel Granja |
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Vol. 140 (1989), No. 1, 85–96
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Abstract |
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Let C be an irreducible plane algebroid curve singularity over an algebraically closed field K, defined by a power series f ∈ K[[X,Y ]]. In this paper, we study those power series h ∈ K[[X,Y ]] for which the intersection multiplicity (f ⋅h) = dimK(K[[X,Y ]]∕(f,y)) is an element of the Apéry basis of the value semigroup for C. We prove a factorization theorem for these power series, obtaining strong properties of their irreducible factors. In particular we show that some results by M. Merle and R. Ephraim are a special case of this theorem. |
Mathematical Subject Classification 2000
Primary: 14B05
Secondary: 14E15, 14H20
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Milestones
Received: 31 December 1986
Revised: 18 November 1988
Published: 1 November 1989
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Authors |
| Angel Granja | |
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