The July issue of Champion RED 's Akita Shoten revealed that the manga Saint Seiya: Next Dimension will resume publication in Weekly Shounen Champion on 3rd June.
Furthermore, it's worth remembering that Champion RED magazine had already announced the manga's return back in December 2019.
Saint Seiya: Next Dimension concluded its previous "season" in June 2018. Author Masami Kurumada has been serializing the manga since 2006, and publisher Akita Shoten released the 12th volume in May 2018. The 13th volume will then be released on June 8th.
Source: ANN