Monodromies of hyperelliptic families of genus three curves

被引：5

作者：

Ishizaka, M ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2004年 / 56卷 / 01期

关键词：

D O I：

10.2748/tmj/1113246379

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complete list of the monodromies of degenerations of genus three which are not realized as the monodromies of any hyperelliptic families of genus three is given. We also prove that all the other monodromies of genus three are realized as the monodromies of certain hyperelliptic families.

引用

页码：1 / 26

页数：26

共 50 条

[1] Realization of hyperelliptic families with the hyperelliptic semistable monodromies
Ishizaka, M
[J]. OSAKA JOURNAL OF MATHEMATICS, 2006, 43 (01) : 103 - 119
[2] Classification of the periodic monodromies of hyperelliptic families
Ishizaka, M
[J]. NAGOYA MATHEMATICAL JOURNAL, 2004, 174 : 187 - 199
[3] Maximal hyperelliptic curves of genus three
Kodama, Tetsuo
Top, Jaap
Washio, Tadashi
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2009, 15 (03) : 392 - 403
[4] Presentation of hyperelliptic periodic monodromies and splitting families
Ishizaka, Mizuho
[J]. REVISTA MATEMATICA COMPLUTENSE, 2007, 20 (02): : 483 - 495
[5] THE MODULAR VARIETY OF HYPERELLIPTIC CURVES OF GENUS THREE
Freitag, Eberhard
Manni, Riccardo Salvati
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (01) : 281 - 312
[6] COHOMOLOGICAL INVARIANTS OF GENUS THREE HYPERELLIPTIC CURVES
Pirisi, Roberto
[J]. DOCUMENTA MATHEMATICA, 2018, 23 : 969 - 996
[7] 7-Gons and genus three hyperelliptic curves
J. William Hoffman
Haohao Wang
[J]. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2013, 107 : 35 - 52
[8] 7-Gons and genus three hyperelliptic curves
Hoffman, J. William
Wang, Haohao
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2013, 107 (01) : 35 - 52
[9] Hyperelliptic curves of genus three and the Kodaira-Spencer map
Foucault, Francois
Toffin, Philippe
[J]. COMPTES RENDUS MATHEMATIQUE, 2007, 345 (12) : 685 - 687
[10] Divisor Class Halving Algorithms for Genus Three Hyperelliptic Curves
You, Lin
Yang, Yilin
Gao, Shuhong
[J]. CHINESE JOURNAL OF ELECTRONICS, 2020, 29 (01) : 97 - 105

← 1 2 3 4 5 →