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The links of 3‐dimensional singularities defined by Brieskorn polynomials
Author(s) -
Katanaga Atsuko,
Nakamoto Kazunori
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510713
Subject(s) - mathematics , diffeomorphism , gravitational singularity , polynomial , order (exchange) , pure mathematics , integer (computer science) , combinatorics , mathematical analysis , computer science , finance , economics , programming language
In this paper, we completely determine the diffeomorphism types of the 5‐dimensional links of 3‐dimensional log‐canonical singularities defined by Brieskorn polynomials. Moreover, we show that if k is an integer with 1 ≤ k < 611, then there is no link K defined by a Brieskorn polynomial in ℂ 4 such that the order of H 2 ( K ) is 6 k . (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)