⌘+K

Pulse Explore Clubs Researchers Journals

Home Clubs Explore

July 17, 2025Open Access

On local accumulation complexity of the set of log canonical volumes in dimension ≥ 2

View Full Paper

Ask AI

Bookmark

Share

Key Points

Local accumulation complexity of log canonical volumes can indeed be infinite, demonstrating unexpected behavior.
The research focuses on dimensions greater than two, which adds a layer of complexity to the findings.
This study presents a mathematical proof, revealing foundational insights into log canonical volumes.
Finding infinite complexity may prompt further exploration into dimensions beyond two, indicating deeper mathematical structures.

Implication

Analysis reveals local accumulation complexity can be infinite for log canonical volumes in dimension greater than two.

Abstract

We prove that the local accumulation complexity of the set of log canonical volumes in dimension ≥ 2 can be infinite.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Weixiang Shao (2025) studied this question.

synapsesocial.com/papers/68f4b10d3d9d770bbc696fd9 https://doi.org/10.48550/arxiv.2507.12710

View Full Paper

Ask AI

Bookmark

Share

Keep reading

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On infinite accumulation points of log canonical volumesOriginal Research · 2026
2On the Iitaka volumes of log canonical surfaces and threefolds2024
3Infinitesimal structure of log canonical thresholds2024
4Boundedness of log Fano cone singularities and discreteness of local volumes2024 · 1 citations
5On finiteness of relative log pluricanonical representations2025