Some Results about the Index Conjecture for log Calabi-Yau Pairs

2019/04/30 by Yanning Xu, Xu, Yanning · 2 citations
Mathematics · #14C20 #14E30 #14J32 #14J45 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1905.00297

openalex publication_date 2019/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show some inductive statements for the index conjecture for log canonical Calabi-Yau pairs. Using it, we show that boundedness of log canonical index for log canonical Calabi Yau pairs with rational DCC coefficients in dimension 3. We also show boundedness of log canonical index for klt log Calabi-Yau pairs in dimension 4 with B≠ 0.

Citations

• Log Calabi-Yau fibrations

Cited by

• Boundedness of (ε, n)-Complements for Surfaces
• Log canonical 3-fold complements

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