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An inequality for symplectic fillings of the link of a hypersurface K3 singularity
Hiroshi Ohta1, Kaoru Ono2
Banach Center Publ. 85 (2009), 93-100
doi:10.4064/bc85-0-6

Abstract: 
Some relations between normal complex surface singularities 
and symplectic fillings of the links of the singularities are discussed. For a certain class
of singularities of general type, which are called hypersurface $K3$ singularities in
this paper, an inequality for numerical invariants of any minimal symplectic fillings of
the links of the singularities is derived. This inequality can be regarded as a symplectic/contact
analog of the $11/8$-conjecture in $4$-dimensional topology.



MSC (2000): Primary 57R17; Secondary 32S25, 53D05.
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  1. Graduate School of Mathematics
    Nagoya University
    Nagoya, 464-8602, Japan
  2. Department of Mathematics
    Hokkaido University
    Sapporo, 060-0810, Japan