Results 51 to 60 of about 216 (184)
F-theory with hyperelliptic fibrations
Journal of High Energy PhysicsWe discuss the role of hyperelliptic fibrations in F-theory. For each even integer n we give a noncompact Calabi-Yau threefold X containing a hyperelliptically fibered surface Y, such that X and Y are homotopy equivalent and c 2(X) = n.
E. Ballico +3 more
doaj +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
Counting hyperelliptic curves that admit a Koblitz model
Journal of Mathematical Cryptology, 2008 Let be a finite field of odd characteristic. We find a closed formula for the number of k-isomorphism classes of pointed, and non-pointed, hyperelliptic curves of genus g over k, admitting a Koblitz model.
Demirkiran Cevahir, Nart Enric
doaj +1 more source
An Anonymous Certificateless Signcryption Scheme for Internet of Health Things
IEEE Access, 2021 Internet of Health Things (IoHT) is a hot topic of research presently, which provides a reliable and intelligent healthcare system for monitoring the physical conditions of the patients over the Internet from anywhere and anytime.
Insaf Ullah +4 more
doaj +1 more source
Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley +1 more source
On geometric progressions on hyperelliptic curves
J. Integer Seq., 2016 Let $C$ be a hyperelliptic curve over $\mathbb Q$ described by $y^2=a_0x^n+a_1x^{n-1}+\ldots+a_n$, $a_i\in\mathbb Q$. The points $P_{i}=(x_{i},y_{i})\in C(\mathbb{Q})$, $i=1,2,...,k,$ are said to be in a geometric progression of length $k$ if the rational numbers $x_{i}$, $i=1,2,...,k,$ form a geometric progression sequence in $\mathbb Q$, i.e., $x_i ...
Mohamed Alaa, Mohammad Sadek
openaire +4 more sources
Reality conditions of loop solitons genus $g$: hyperelliptic am functions
Electronic Journal of Differential Equations, 2007 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.
Shigeki Matsutani
doaj
COMPARATIVE ANALYSIS OF HIGHER GENUS HYPERELLIPTIC CURVE CRYPTOSYSTEMS OVER FINITE FIELD FP [PDF]
ICTACT Journal on Communication Technology, 2011 The performance analysis of Hyperelliptic Curve Cryptosystems (HECC) over prime fields (Fp) of genus 5 and 6 are discussed in this paper. We have implemented a HECC system of genus 5 & 6 in a Intel Pentium III Celeron Processor @ 933 MHz speed with 256 ...
R. Ganesan, K. Vivekanandan
doaj
Theta divisors and permutohedra
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source