Abstract
We describe Milnor open books and Legendrian surgery diagrams for canon- ical contact structures of links of some rational surface si ngularities. We also describe an infinite family of Milnor fillable contact 3-manifolds so that the Milnor genus (resp. Mil- nor norm) is strictly greater than the support genus (resp. s upport norm) of the canonical contact structure, for each member of this family.
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