The SM hologram indicates it's the official Korean edition.

The Korean version usually has the following text printed on the back cover:
"2006 AVEX INC. MARKETED BY S.M. ENTERTAINMENT CO., LTD. MANUFACTURED BY YBM SEOUL RECORD CO.,LT. DISTRUBUTED BY S.M. ENTERTAINMENT CO., LTD." etc.
if so, it's not a fake copy.

I bought my copy of A Ballads in Seoul and it has the SM hologram sticker and everything as well.