Definition 20.1.39BFB26AC5F975

Definition 20.1.39.BFB26AC5F975 Let $\mathbb {D}_1,\ldots ,\mathbb {D}_ n$ be big and nef b-divisors over $X$. Then we define their intersection as

where $T_1,\ldots ,T_ n$ are closed positive $(1,1)$-currents in $\mathbb {D}_{1,X},\ldots ,\mathbb {D}_{n,X}$ respectively such that $\mathbb {D}(T_ i)=\mathbb {D}_{i}$.