Rigid-analytic varieties with projective reduction violating Hodge symmetry

被引：2
|
作者：
Petrov, Alexander [1 ]
机构：
[1] Harvard Univ, Dept Math, 1 Oxford St, Cambridge, MA 02138 USA
来源：
COMPOSITIO MATHEMATICA | 2021年 / 157卷 / 03期
关键词：
rigid-analytic varieties; Hodge symmetry; p-adic Hodge theory;
D O I：
10.1112/S0010437X20007708
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct examples of smooth proper rigid-analytic varieties admitting formal models with projective special fibers and violating Hodge symmetry for cohomology in degrees >= 3. This answers negatively the question raised by Hansen and Li.
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页码：625 / 640
页数：17
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