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On infinite accumulation points of log canonical volumes
[Submitted on 17 Jul 2025 (v1), last revised 24 Jun 2026 (this v · 2026-06-25 · via math updates on arXiv.org

Mathematics > Algebraic Geometry

arXiv:2507.12710 (math)

[Submitted on 17 Jul 2025 (v1), last revised 24 Jun 2026 (this version, v2)]

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Abstract:In this paper, we demonstrate a new phenomenon in the geography of volumes: for every integer $d\geq 2$, the set of volumes of $d$-dimensional projective log canonical varieties has an infinite accumulation point.

Submission history

From: Weili Shao [view email]
[v1] Thu, 17 Jul 2025 01:16:51 UTC (18 KB)
[v2] Wed, 24 Jun 2026 10:08:30 UTC (47 KB)

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