The Lie Group Structure of Genus Two Hyperelliptic ℘ Functions
نویسندگان
چکیده
We consider the generalized dual transformation for hyperelliptic ℘ functions. For genus two case, by constructing a quadratic invariant form, we find that functions have SO(3,2) ∼= Sp(4,R)/Z2 Lie group structure. .
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولGenus Two Hyperelliptic Curve Coprocessor
Hyperelliptic curve cryptography with genus larger than one has not been seriously considered for cryptographic purposes because many existing implementations are significantly slower than elliptic curve versions with the same level of security. In this paper, the first ever complete hardware implementation of a hyperelliptic curve coprocessor is described. This coprocessor is designed for genu...
متن کاملOn Hyperelliptic Abelian Functions of Genus
The affine ring A of the affine Jacobian variety J(X)\Θ of a hyperelliptic curve of genus 3 is studied as a D module. A conjecture on the minimal D-free resolution previously proposed is proved in this case. As a by-product a linear basis of A is explicitly constructed in terms of derivatives of Klein’s hyperelliptic ℘-functions. ∗e-mail: [email protected]
متن کاملREALITY CONDITIONS OF LOOP SOLITONS GENUS g: HYPERELLIPTIC AM FUNCTIONS
This article is devoted to an investigation of a reality condition of a hyperelliptic loop soliton of higher genus. In the investigation, we have a natural extension of Jacobi am-function for an elliptic curves to that for a hyperelliptic curve. We also compute winding numbers of loop solitons.
متن کاملRecursion Relation of Hyperelliptic Psi-functions of Genus Two Shigeki Matsutani
A recursion relation of hyperelliptic ψ functions of genus two, which was derived by D.G. Cantor (J. reine angew. Math. 447 (1994) 91-145), is studied. As Cantor’s approach is algebraic, another derivation is presented as a natural extension of the analytic derivation of the recursion relation of the elliptic ψ function. 2000 MSC: 14K20 14K22 14H45 14H70 e-mail:[email protected] 1 §
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Mathematics and Statistics
سال: 2023
ISSN: ['2736-5484']
DOI: https://doi.org/10.24018/ejmath.2023.4.3.244