17 citations · 105 across the 28 of their papers we have counts for
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math.AG2012★ 4 cited
Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings
Yujiro Kawamata, Shinnosuke Okawa
We prove that a Mori dream space over a field of characteristic zero is of Calabi-Yau type if and only if its Cox ring has at worst log canonical singularities. By slightly modifyi…
math.AG2012★ 8 cited
Characterization of varieties of Fano type via singularities of Cox rings
Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai +1
We show that every Mori dream space of globally -regular type is of Fano type. As an application, we give a characterization of varieties of Fano type in terms of the singularit…