Effective calculation of the geometric height and the Bogomolov conjecture for hyperelliptic curves over function fields

被引：15
|
作者：
Yamaki, Kazuhiko [1 ]
机构：
[1] Kyoto Univ, Grad Sch Engn, Dept Mech Engn & Sci, Kyoto 6068501, Japan
来源：
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2008年 / 48卷 / 02期
关键词：
D O I：
10.1215/kjm/1250271420
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：401 / 443
页数：43
相关论文
共 50 条
  • [21] Sums of squares in function fields of hyperelliptic curves
    Karim Johannes Becher
    Jan Van Geel
    Mathematische Zeitschrift, 2009, 261 : 829 - 844
  • [22] Sums of squares in function fields of hyperelliptic curves
    Becher, Karim Johannes
    Van Geel, Jan
    MATHEMATISCHE ZEITSCHRIFT, 2009, 261 (04) : 829 - 844
  • [23] EFFECTIVE BOUNDS FOR SEMIPOSITIVE SHEAVES AND FOR THE HEIGHT OF POINTS ON CURVES OVER COMPLEX FUNCTION-FIELDS
    ESNAULT, H
    VIEHWEG, E
    COMPOSITIO MATHEMATICA, 1990, 76 (1-2) : 69 - 85
  • [24] 2-SELMER GROUPS OF EVEN HYPERELLIPTIC CURVES OVER FUNCTION FIELDS
    Thinh, Dao Van
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 376 (07) : 4679 - 4712
  • [25] Bounded height conjecture for function fields
    Ghioca, Dragos
    Masser, David
    Zannier, Umberto
    NEW YORK JOURNAL OF MATHEMATICS, 2015, 21 : 837 - 846
  • [26] EFFICIENT ENCODINGS TO HYPERELLIPTIC CURVES OVER FINITE FIELDS
    Kashani, Amirmehdi Yazdani
    Daghigh, Hassan
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2018, 33 (05): : 673 - 681
  • [27] Proof of an exceptional zero conjecture for elliptic curves over function fields
    Ambrus Pál
    Mathematische Zeitschrift, 2006, 254 : 461 - 483
  • [28] Proof of an exceptional zero conjecture for elliptic curves over function fields
    Pal, Ambrus
    MATHEMATISCHE ZEITSCHRIFT, 2006, 254 (03) : 461 - 483
  • [29] Growth of points on hyperelliptic curves over number fields
    Keyes, Christopher
    JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2022, 34 (01): : 271 - 294
  • [30] Differential operators and hyperelliptic curves over finite fields
    Blanco-Chacon, Ivan
    Boix, Alberto F.
    Fordham, Stiofain
    Yilmaz, Emrah Sercan
    FINITE FIELDS AND THEIR APPLICATIONS, 2018, 51 : 351 - 370
12345