On a dynamical Mordell-Lang conjecture for coherent sheaves

被引：3
|
作者：
Bell, Jason P. [1 ]
Satriano, Matthew [1 ]
Sierra, Susan J. [2 ]
机构：
[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
[2] Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Midlothian, Scotland
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2017年 / 96卷
基金：
英国工程与自然科学研究理事会; 加拿大自然科学与工程研究理事会;
关键词：
P-ADIC NUMBERS; POWER-SERIES; RINGS; AREA;
D O I：
10.1112/jlms.12050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a dynamical Mordell-Lang-type conjecture for coherent sheaves. When the sheaves are structure sheaves of closed subschemes, our conjecture becomes a statement about unlikely intersections. We prove an analogue of this conjecture for affinoid spaces, which we then use to prove our conjecture in the case of surfaces. These results rely on a module-theoretic variant of Strassman's theorem that we prove in the appendix.
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页码：28 / 46
页数：19
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