Non-liftable Calabi-Yau spaces

被引：4
|
作者：
Cynk, Slawomir [1 ,2 ]
Schuett, Matthias [3 ]
机构：
[1] Jagiellonian Univ, Inst Math, PL-30348 Krakow, Poland
[2] Inst Math PAN, PL-00956 Warsaw, Poland
[3] Leibniz Univ Hannover, Inst Algebra Geometrie, DE-30167 Hannover, Germany
来源：
ARKIV FOR MATEMATIK | 2012年 / 50卷 / 01期
关键词：
RATIONAL ELLIPTIC-SURFACES; FIBER PRODUCTS; CHARACTERISTIC-P; THREEFOLDS;
D O I：
10.1007/s11512-010-0130-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct many new non-liftable three-dimensional Calabi-Yau spaces in positive characteristic. The technique relies on lifting a nodal model to a smooth rigid Calabi-Yau space over some number field as introduced by one of us jointily with D. van Straten.
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页码：23 / 40
页数：18
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