The links of 3‐dimensional singularities defined by Brieskorn polynomials | Zendy

Katanaga Atsuko | Zendy; Nakamoto Kazunori | Zendy

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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)

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