On the number of linear spaces on hypersurfaces with a prescribed discriminant

被引：1
|
作者：
Brandes, Julia [1 ,2 ,3 ]
机构：
[1] Chalmers Inst Technol, Math Sci, S-41296 Gothenburg, Sweden
[2] Univ Gothenburg, S-41296 Gothenburg, Sweden
[3] Univ Waterloo, Pure Math, 200 Univ Ave West, Waterloo, ON N2L 3G1, Canada
来源：
MATHEMATISCHE ZEITSCHRIFT | 2018年 / 289卷 / 3-4期
关键词：
Forms in many variables; Linear spaces; FORMS; VARIABLES; SYSTEMS; SOLUBILITY; EQUATIONS;
D O I：
10.1007/s00209-017-1975-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a given form we apply the circle method in order to give an asymptotic estimate of the number of m-tuples spanning a linear space on the hypersurface with the property that . This allows us in some measure to count rational linear spaces on hypersurfaces whose underlying integer lattice is primitive.
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页码：803 / 827
页数：25
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