10 ENGLISH BOOKS RELATING TO «ISOGENOUS»
Discover the use of
isogenous in the following bibliographical selection. Books relating to
isogenous and brief extracts from same to provide context of its use in English literature.
Initially, the chondrocytes of an isogenous group occupy one lacuna. Eventually,
matrix partitions develop between chondrocytes, creating new lacunae, each
containing a descendent of the original chondrocyte. b. The chondrocytes of an ...
Ray C. Henrikson, Gordon I. Kaye, Joseph E. Mazurkiewicz, 1997
2
Classification of Algebraic Varieties: Algebraic Geometry ...
Lemma. Let K be a totally real quartic field which contains no quadratic sub-
fields and let A be a ^-dimensional abelian variety with multiplication by K. Then
either A is simple or A is isogenous to the fourth power of an elliptic curve. Proof.
Ciro Ciliberto, Elvira Laura Livorni, Andrew John Sommese, 1994
3
Algorithms for Modular Elliptic Curves
As a special case of Velu's formulae we find that the isogenous curve E' has
coefficients [a\, a2, a'3, a'4, a'6] = [«1, а2, aз, a4 — 5í, aв — b2t — 7w] where Note
that the point (xi, need not be integral even when E has integral coefficients ...
4
Public Key Cryptography -- PKC 2004: 7th International ...
We have to use the window-based method on Jst(j-isogenous curve because this
method uses the standard addition formulae. Isomorphism enables the efficient
implementation with small a. Moreover, more efficient implementation with a ...
Feng Bao, Robert Deng, Jianying Zhou, 2004
5
Symplectic 4-Manifolds and Algebraic Surfaces: Lectures ...
5.2 Varieties Isogenous to a Product Definition 5.16 A complex algebraic variety
X of dimension n is said to be isogenous to a higher product if and only if there is
a finite ́etale cover C1 × ...C n → X, where C1 ,...,C n are compact Riemann ...
Denis Auroux, Fabrizio Catanese, Gang Tian, 2008
6
Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
then the moduli space of ordered pairs of n-isogenous elliptic curves is given by
X0(n) I H/Fo(n). To form the moduli space of products of n-isogenous elliptic
curves, we need to quotient also by the involution T |—> 1 on X0(n). We call the
111' ...
Radu Laza, Matthias Schütt, Noriko Yui, 2013
7
Information Security, Coding Theory and Related ...
Isogenous degree 2 elliptic subfields In this section we study pairs of degree 2
elliptic subfields of K which are 2 or 3-isogenous. We denote by <I>,,(:c, y) the n-
th modular polynomial (see Blake et al. [9] for the formal definitions. Two elliptic ...
Dean Crnković, Vladimir Tonchev, 2011
8
Introduction to the Theory of Formal Groups
Observe that N/G„ is isogenous to S, hence a formal torus, and G/N isogenous to
C, hence also a formal torus; furthermore, N/Gu is invariant in G/G„, hence
contained in the center of G/Gu (Corollary 1 to Proposition 15), and finally G/G„ is
a ...
9
Complex Multiplication and Lifting Problems:
Indeed, if A is not simple then a simple factor of A would be a K-descent of a
member of the isogeny class of A, contradicting that A and σ∗(A) are not
isogenous. Thus, we have exhibited examples in characteristic 0 for which
isotypicity is lost ...
Ching-Li Chai, Brian Conrad, Frans Oort, 2013
10
Finite Fields: Theory and Computation: The Meeting Point of ...
As we remark below, this is equivalent to considering isomorphic elliptic curves in
a class of isogenous curves. Curves over ¥2- are considered in [1887]; the case
of curves of Fa- is dealt with in [1949]. Generally, fields of characteristic 2 and 3 ...
