Ohio Rev. Code § 2935.08: Issuance of warrant.

Upon the filing of an affidavit or complaint as provided in sections 2935.05 or 2935.06 of the Revised Code such judge, clerk, or magistrate shall forthwith issue a warrant to the peace officer making the arrest, or if made by a private person, to the most convenient peace officer who shall receive custody of the person arrested. All further detention and further proceedings shall be pursuant to such affidavit or complaint and warrant.