Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph

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作者：

IMUB - Universitat de Barcelona, Gran Via de les Corts Catalanes 585, Barcelona ^{[1
]}

08007, Spain

不详 ^{[2
]}

91120, France

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来源：

arXiv | 1600年

关键词：

Abelian varieties - Automorphisms - Eigen-value - Jacobians - Random Walk - Special structure - Spectral properties - Stationary distribution - Statistical properties - Subgraphs;

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引用

共 24 条

[1] Isogeny graphs on superspecial abelian varieties: eigenvalues and connection to Bruhat-Tits buildings
Aikawa, Yusuke
Tanaka, Ryokichi
Yamauchi, Takuya
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2024, 76 (06): : 1891 - 1916
[2] Isogeny graphs of ordinary abelian varieties
Brooks E.H.
Jetchev D.
Wesolowski B.
Research in Number Theory, 3 (1)
[3] Neighborhood of vertices in the isogeny graph of principally polarized superspecial abelian surfaces
Xu, Zheng
Ouyang, Yi
Zhou, Zijian
FINITE FIELDS AND THEIR APPLICATIONS, 2025, 103
[4] Automorphisms of the supersingular isogeny graph
Mayo, Sam
FINITE FIELDS AND THEIR APPLICATIONS, 2024, 93
[5] Automorphisms of the supersingular isogeny graph
Mayo, Sam
Finite Fields and their Applications, 2024, 93
[6] Isogeny orbits in a family of abelian varieties
Lin, Qian
Wang, Ming-Xi
ACTA ARITHMETICA, 2015, 170 (02) : 161 - 173
[7] Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem
Jetchev, Dimitar
Wesolowski, Benjamin
ACTA ARITHMETICA, 2019, 187 (04) : 381 - 404
[8] Computing the Selmer group of an isogeny between Abelian varieties using a further isogeny to a Jacobian
Schaefer, EF
Wetherell, JL
JOURNAL OF NUMBER THEORY, 2005, 115 (01) : 158 - 175
[9] Isogeny classes of abelian varieties with no principal polarizations
Howe, EW
MODULI OF ABELIAN VARIETIES, 2000, 195 : 203 - 216
[10] ISOGENY ESTIMATES FOR ABELIAN-VARIETIES, AND FINITENESS THEOREMS
MASSER, D
WUSTHOLZ, G
ANNALS OF MATHEMATICS, 1993, 137 (03) : 459 - 472

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