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arXiv · 2605.13881

On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs

Pinxian Bie
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Abstract

We investigate the DCC property of the set of Iitaka volumes of a given set of pairs of varieties. We both generalize previous results of Birkar and Li about usual pairs to the real coefficient case, and also establish similar results on generalised pairs, where some natural boundedness assumptions are required for technical reasons.

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Pinxian Bie. 2026-05-11. On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs. https://arxiv.org/abs/2605.13881

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