A catalyst system comprises at least one metallocene and at least one passivated support and preferably at least one cocatalyst. The passivated support is prepared by treating at least one inorganic oxide with at least one organometallic compound, preferably in an inorganic solvent. A polymer having a melting point of =158° C., a proportion of reverse insertions of 0.2% and a triad tacticity of 98.0% can be obtained using this catalyst system.
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