On the Picard number of K3 surfaces over number fields
نویسندگان
چکیده
منابع مشابه
K3 surfaces over number fields with geometric Picard number one
A long-standing question in the theory of rational points of algebraic surfaces is whether a K3 surface X over a number field K acquires a Zariski-dense set of L-rational points over some finite extension L/K. In this case, we say X has potential density of rational points. In case XC has Picard rank greater than 1, Bogomolov and Tschinkel [2] have shown in many cases that X has potential densi...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2014
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2014.8.1