A klt generalized pair with infinitely generated canonical ring
Liu, Jihao, Wang, Yanze
August 2026
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Abstract
We construct a projective klt generalized pair (X,B,M) with infinitely generated generalized log canonical ring R(X,K_X+B+M). This gives the first example of a klt variety X with -K_X nef whose anticanonical ring R(X,-K_X) is not finitely generated.