Non-liftable Calabi-Yau varieties in characteristic p ≥ 5

2017/10/23 by Piotr Achinger, Achinger, Piotr, Maciej Zdanowicz +1
Mathematics · #14D15 #14G17 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Primary 14J32 #Secondary 14J45

paper · pdf · doi:10.48550/arxiv.1710.08202

openalex publication_date 2017/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on recent work of Totaro, we provide two simple constructions of non-liftable Calabi-Yau varieties in characteristic p ≥ 5. Our examples are of dimension 2p and 2p+1.

Related

• Deformations and Lifts of Calabi-Yau Varieties in Characteristic p
• An Example of non-simply connected non-liftable Calabi-Yau 3-fold in positive characteristic
• Small Resolutions and Non-Liftable Calabi-Yau threefolds
• Calabi-Yau threefolds in positive characteristic
• On the height of Calabi-Yau varieties in positive characteristic