Results 11 to 20 of about 122 (48)
The generic isogeny decomposition of the Prym Variety of a cyclic branched covering [PDF]
, 2021 Let f: S′⟶ S be a cyclic branched covering of smooth projective surfaces over C whose branch locus Δ ⊂ S is a smooth ample divisor. Pick a very ample complete linear system | H| on S, such that the polarized surface (S, | H|) is not a scroll nor has ...
Alexandrou, Theodosis
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Modular invariants and isogenies [PDF]
, 2019 We provide explicit bounds on the difference of heights of the $j$-invariants of isogenous elliptic curves defined over $\overline{\mathbb{Q}}$. The first one is reminiscent of a classical estimate for the Faltings height of isogenous abelian varieties ...
Pazuki, Fabien
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New Techniques for SIDH-based NIKE
Journal of Mathematical Cryptology, 2020 We consider the problem of producing an efficient, practical, quantum-resistant non-interactive key exchange (NIKE) protocol based on Supersingular Isogeny Diffie-Hellman (SIDH).
Urbanik David, Jao David
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On coverings of simple abelian varieties [PDF]
, 2006 We show that the vector bundle associated to a smooth projective connected finite covering of a simple complex abelian variety is ample (under a simple necessary condition). This result is obtained by showing that this bundle is M-regular in the sense of
Debarre, Olivier
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A decomposition of the Jacobian of a Humbert-Edge curve
, 2020 A \textit{Humbert-Edge curve of type} $n$ is a non-degenerate smooth complete intersection of $n-1$ diagonal quadrics. Such a curve has an interesting geometry since it has a natural action of the group $(\mathbb{Z}/2\mathbb{Z})^n$.
Arteche, Giancarlo Lucchini +2 more
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Families of abelian varieties with many isogenous fibres [PDF]
, 2015 Let Z be a subvariety of the moduli space of principally polarised abelian varieties of dimension g over the complex numbers. Suppose that Z contains a Zariski dense set of points which correspond to abelian varieties from a single isogeny class.
Orr, Martin
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Counting superspecial Richelot isogenies by reduced automorphism groups (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties) [PDF]
, 2022 The recent cryptanalysis by Costello and Smith [10] employed the subgraphs whose vertices consist of decomposed principally polarized abelian varieties, hence it is important to study the subgraphs in isogeny-based cryptography. Katsura and Takashima [22]
TAKASHIMA, Katsuyuki
core
Constructing Permutation Rational Functions From Isogenies
, 2017 A permutation rational function $f\in \mathbb{F}_q(x)$ is a rational function that induces a bijection on $\mathbb{F}_q$, that is, for all $y\in\mathbb{F}_q$ there exists exactly one $x\in\mathbb{F}_q$ such that $f(x)=y$.
Bisson, Gaetan, Tibouchi, Mehdi
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Isogeny classes of abelian varieties over function fields
, 2005 We study isogeny classes of abelian varieties over a function field in one variable over the field of complex numbers.Comment: 22 ...
Zarhin, Yuri G.
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Nutritional properties of different types of cherry laurel fruits and seeds [PDF]
Karayemiş (Prunus laurocerasus) Türkiye’de Karadeniz bölgesinde sıklıkla rastlanan Rosaceae familyasına ait yapraklarını dökmeyen yaklaşık 5-6 metre boylarında küçük beyaz çiçekleri olan bir ağaçtır.
Duman, Erman, Tür, Özlem Emrem
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