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Ly-alpha Clouds Associated with Pop III Objects in Cold Dark Matter Models

We present a semi-analytical model to test the hypothesis that Ly-alpha QSO absorption lines originate in gaseous halos produced by multiple supernova explosions occurring in Pop III objects in a CDM cosmological scenario hoping to assess the validity of CDM models and/or constrain their parameters. The preliminary results indicate that the range of $N_{HI}$, redshift distribution and metallicity of clouds are well reproduced by CDM if they are associated with galaxy halos or groups. Firm conclusions on clouds with $N_{HI}\le 10^{14} cm^{-2}$ need a more refined study.