On equidistribution theorem for multi-sequences of holomorphic line bundles

preprint2022arXivOpen access

Abstract

Given several sequences of Hermitian holomorphic line bundles {(Lkp,hkp)}p=1∞\{(L_{kp}, h_{kp})\}_{p=1}^{\infty}, we establish the distribution of common zeros of random holomorphic sections of LkpL_{kp} with respect to singular measures. We also study the dimension growth for a sequence of pseudo-effective line bundles.

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