On the existence of integral ternary quadratic forms without automorphs of finite order

被引：0

作者：

Maria Montesinos-Amilibia, Jose ^{[1
]}

机构：

[1] Univ Complutense, Fac Matemat, E-28040 Madrid, Spain

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2017年 / 26卷 / 14期

关键词：

Integral quadratic form; knot; link; hyperbolic manifold; volume; automorph; commensurability class; integral equivalence; rational equivalence; projective equivalence; Bianchi equivalence; Conway's excesses; p-adic symbols;

D O I：

10.1142/S0218216517501024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An example of an integral ternary quadratic form f such that its associated orbifold Q(f) is a manifold is given. Hence, the title is proved.

引用

页数：13

共 50 条

[1] Existence of unilateral, ternary, integral quadratic forms
Maria Montesinos-Amilibia, Jose
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2017, 26 (14)
[2] AUTOMORPHS OF QUADRATIC FORMS
JONES, BW
MARSH, D
[J]. DUKE MATHEMATICAL JOURNAL, 1954, 21 (01) : 179 - 193
[3] RATIONAL AUTOMORPHS OF QUADRATIC-FORMS
WOJCIK, J
[J]. COLLOQUIUM MATHEMATICUM, 1974, 30 (01) : 69 - 88
[4] GROUP OF INTEGRAL AUTOMORPHS OF A POSITIVE DEFINITE QUADRATIC FORM
FIELDS, KL
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1977, 15 (JAN): : 26 - 28
[5] xOn the canonical forms and automorphs of ternary cubic forms.
Dickson, LE
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1908, 30 : 117 - 128
[6] The number of representations of squares by integral ternary quadratic forms
Kim, Kyoungmin
Oh, Byeong-Kweon
[J]. JOURNAL OF NUMBER THEORY, 2017, 180 : 629 - 642
[7] On the genera and spinor genera of integral, ternary quadratic forms
Montesinos-Amilibia, Jose Maria
[J]. DISSERTATIONES MATHEMATICAE, 2024, 591 : 1 - 162
[8] On the orbifold coverings associated to integral, ternary quadratic forms
José María Montesinos-Amilibia
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 717 - 749
[9] On the orbifold coverings associated to integral, ternary quadratic forms
Maria Montesinos-Amilibia, Jose
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (03) : 717 - 749
[10] Ternary quadratic forms and half-integral weight modular forms
Hamieh, Alia
[J]. LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2012, 15 : 418 - 435

← 1 2 3 4 5 →