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Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell-Weil rank
被引:1
作者
:
Vemulapalli, Sameera
论文数:
0
引用数:
0
h-index:
0
机构:
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Vemulapalli, Sameera
[
1
]
Wang, Danielle
论文数:
0
引用数:
0
h-index:
0
机构:
MIT, Dept Math, Cambridge, MA 02139 USA
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
Wang, Danielle
[
2
]
机构
:
[1]
Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[2]
MIT, Dept Math, Cambridge, MA 02139 USA
来源
:
ACTA ARITHMETICA
|
2021年
/ 199卷
/ 04期
基金
:
美国国家科学基金会;
关键词
:
algebraic points on curves;
uniform bounds;
symmetric products;
Chabauty-Coleman method;
torsion packets;
CHABAUTY;
REDUCTION;
GEOMETRY;
D O I
:
10.4064/aa181003-27-3
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
引用
收藏
页码:331 / 360
页数:30
相关论文
共 16 条
[1]
[Anonymous], 2005, GRADUATE TEXTS MATH
[2]
STABLE REDUCTION AND UNIFORMIZATION OF ABELIAN-VARIETIES .1.
BOSCH, S
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引用数:
0
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BOSCH, S
LUTKEBOHMERT, W
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0
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0
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LUTKEBOHMERT, W
[J].
MATHEMATISCHE ANNALEN,
1985,
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379
[3]
Chabauty C, 1941, CR HEBD ACAD SCI, V212, P882
[4]
EFFECTIVE CHABAUTY
COLEMAN, RF
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0
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0
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0
COLEMAN, RF
[J].
DUKE MATHEMATICAL JOURNAL,
1985,
52
(03)
: 765
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770
[5]
Faltings G., 1994, PERSPECT MATH, V15, P175
[6]
Gunther J, 2018, ARXIV170902041V2
[7]
UNIFORM BOUNDS FOR THE NUMBER OF RATIONAL POINTS ON CURVES OF SMALL MORDELL-WEIL RANK
Katz, Eric
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Katz, Eric
Rabinoff, Joseph
论文数:
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Zureick-Brown, David
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机构:
Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Zureick-Brown, David
[J].
DUKE MATHEMATICAL JOURNAL,
2016,
165
(16)
: 3189
-
3240
[8]
The Chabauty-Coleman bound at a prime of bad reduction and Clifford bounds for geometric rank functions
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机构:
Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
Katz, Eric
Zureick-Brown, David
论文数:
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引用数:
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Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
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[J].
COMPOSITIO MATHEMATICA,
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149
(11)
: 1818
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[9]
Thue equations and the method of Chabauty-Coleman
Lorenzini, D
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Georgia, Dept Math, Athens, GA 30602 USA
Univ Georgia, Dept Math, Athens, GA 30602 USA
Lorenzini, D
Tucker, TJ
论文数:
0
引用数:
0
h-index:
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机构:
Univ Georgia, Dept Math, Athens, GA 30602 USA
Univ Georgia, Dept Math, Athens, GA 30602 USA
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[J].
INVENTIONES MATHEMATICAE,
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148
(01)
: 47
-
77
[10]
Maclagan D., 2015, INTRO TROPICAL GEOME, V161
←
1
2
→
共 16 条
[1]
[Anonymous], 2005, GRADUATE TEXTS MATH
[2]
STABLE REDUCTION AND UNIFORMIZATION OF ABELIAN-VARIETIES .1.
BOSCH, S
论文数:
0
引用数:
0
h-index:
0
BOSCH, S
LUTKEBOHMERT, W
论文数:
0
引用数:
0
h-index:
0
LUTKEBOHMERT, W
[J].
MATHEMATISCHE ANNALEN,
1985,
270
(03)
: 349
-
379
[3]
Chabauty C, 1941, CR HEBD ACAD SCI, V212, P882
[4]
EFFECTIVE CHABAUTY
COLEMAN, RF
论文数:
0
引用数:
0
h-index:
0
COLEMAN, RF
[J].
DUKE MATHEMATICAL JOURNAL,
1985,
52
(03)
: 765
-
770
[5]
Faltings G., 1994, PERSPECT MATH, V15, P175
[6]
Gunther J, 2018, ARXIV170902041V2
[7]
UNIFORM BOUNDS FOR THE NUMBER OF RATIONAL POINTS ON CURVES OF SMALL MORDELL-WEIL RANK
Katz, Eric
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Katz, Eric
Rabinoff, Joseph
论文数:
0
引用数:
0
h-index:
0
机构:
Georgia Tech, Dept Math, Atlanta, GA USA
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Rabinoff, Joseph
Zureick-Brown, David
论文数:
0
引用数:
0
h-index:
0
机构:
Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Zureick-Brown, David
[J].
DUKE MATHEMATICAL JOURNAL,
2016,
165
(16)
: 3189
-
3240
[8]
The Chabauty-Coleman bound at a prime of bad reduction and Clifford bounds for geometric rank functions
Katz, Eric
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
Katz, Eric
Zureick-Brown, David
论文数:
0
引用数:
0
h-index:
0
机构:
Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
Zureick-Brown, David
[J].
COMPOSITIO MATHEMATICA,
2013,
149
(11)
: 1818
-
1838
[9]
Thue equations and the method of Chabauty-Coleman
Lorenzini, D
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Georgia, Dept Math, Athens, GA 30602 USA
Univ Georgia, Dept Math, Athens, GA 30602 USA
Lorenzini, D
Tucker, TJ
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Georgia, Dept Math, Athens, GA 30602 USA
Univ Georgia, Dept Math, Athens, GA 30602 USA
Tucker, TJ
[J].
INVENTIONES MATHEMATICAE,
2002,
148
(01)
: 47
-
77
[10]
Maclagan D., 2015, INTRO TROPICAL GEOME, V161
←
1
2
→