Demazure construction for Z^n-graded Krull domains

Yusuke Arai, Ayaka Echizenya, Kazuhiko Kurano

For a Mori dream space X, the Cox ring Cox(X) is a Noetherian Z^n-graded normal domain for some n > 0. Let C(Cox(X)) be the cone (in R^n) which is spanned by the vectors a \in Z^n…