Hybrid superelliptic horn
نویسندگان
چکیده
منابع مشابه
Endomorphisms of Superelliptic Jacobians
Let K be a field of characteristic zero, n ≥ 5 an integer, f(x) an irreducible polynomial over K of degree n, whose Galois group contains a doubly transitive simple non-abelian group. Let p be an odd prime, Z[ζp] the ring of integers in the pth cyclotomic field, Cf,p : y p = f(x) the corresponding superelliptic curve and J(Cf,p) its jacobian. Assuming that either n = p + 1 or p does not divide ...
متن کاملSuperelliptic Josephson Tunnel Junctions
The most important practical characteristic of a Josephson junction is its critical current. The shape of the junction determines the specific form of the magnetic-field dependence of the its Josephson current. Here we address the magnetic diffraction patterns of specially shaped planar Josephson tunnel junctions. We focus on a wide ensemble of generalized ellipses, called superellipses, which ...
متن کاملNon-isogenous Superelliptic Jacobians
Let p be an odd prime. Let K be a field of characteristic zero and Ka its algebraic closure. Let n ≥ 5 and m ≥ 5 be integers. Let f(x), h(x) ∈ K[x] be irreducible separable polynomials of degree n and m respectively. Suppose that the Galois group of f is either the full symmetric group Sn or the alternating group An and the Galois group of h is either the full symmetric group Sm or the alternat...
متن کاملArithmetic on superelliptic curves
superelliptic curves, jacobians, cryptography, discrete logarithm problem In this paper we present an efficient, polynomial-time method to perform calculations in the divisor class group of a curve which has a single point on its normalization above infinity. In particular, we provide a unique representation of divisor classes and an algorithm for reducing a divisor on such a curve to its corre...
متن کاملEndomorphism Algebras of Superelliptic Jacobians
As usual, we write Z,Q,Fp,C for the ring of integers, the field of rational numbers, the finite field with p elements and the field of complex numbers respectively. If Z is a smooth algebraic variety over an algebraically closed field then we write Ω(Z) for the space of differentials of the first kind on Z. If Z is an abelian variety then we write End(Z) for its ring of (absolute) endomorphisms...
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: Microwave and Optical Technology Letters
سال: 2011
ISSN: 0895-2477
DOI: 10.1002/mop.26360