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In the study of normal (complex analytic) surface singu-larities, it is interesting to investigate the invariants. The purpose ofthis paper is to give a characterization of the vanishing of δ₂. In [11],we gave characterizations of minimally elliptic singularities and rationaltriple points in terms of the second plurigenera δ₂ and γ₂. In this paper, we also give a characterization of rational triple points in terms of acertain computation sequence. To prove our main theorems, we give twoformulae for δ₂ and γ₂ of rational surface singularities.
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참고문헌 (13)
참고문헌 신청
F. W. Kn¨oller / 1973 / 2-dimensionale Singularit¨aten und Differentialformen / Mathematische Annalen 206 : 205 ~ 213
G. N. Tjurina / 1968 / Absolute isolation of rational singularities, and triple rational points / Functional Analysis and its Applications 2 (4) : 70 ~ 81
H. B. Laufer / 1972 / On rational singularities / American Journal of Mathematics 94 : 597 ~ 608
H. B. Laufer / 1977 / On minimally elliptic singularities / American Journal of Mathematics 99 (6) : 1257 ~ 1295
J. Lipman / 1969 / Rational singularities, with applications to algebraic surfaces and uniquefactorization / Institut des Hautes Etudes Scientifiques. Publications Mathematiq
G. N. Tjurina / 1968 / Absolute isolation of rational singularities, and triple rational points / Functional Analysis and its Applications 2 (4) : 70 ~ 81
H. B. Laufer / 1972 / On rational singularities / American Journal of Mathematics 94 : 597 ~ 608
H. B. Laufer / 1977 / On minimally elliptic singularities / American Journal of Mathematics 99 (6) : 1257 ~ 1295
J. Lipman / 1969 / Rational singularities, with applications to algebraic surfaces and uniquefactorization / Institut des Hautes Etudes Scientifiques. Publications Mathematiq
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