共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper, we will study Ciani curves in characteristic , in particular their standard forms . It is well-known that any Ciani curve is a non-hyperelliptic curve of genus 3, and its Jacobian variety is isogenous to the product of three elliptic curves. As a main result, we will show that if C is superspecial, then belong to and C is maximal or minimal over . Moreover, in this case we will provide a simple criterion in terms of that tells whether C is maximal (resp. minimal) over . 相似文献
2.
For a closed symplectic manifold with compatible Riemannian metric g we study the Sobolev geometry of the group of all diffeomorphisms on M which preserve the symplectic structure. We show that, for sufficiently large s, the metric admits globally defined geodesics and the corresponding exponential map is a non-linear Fredholm map of index zero. Finally, we show that the metric carries conjugate points via some simple examples. 相似文献
3.
《Discrete Mathematics》2020,343(3):111721
The -additive codes are subgroups of , and can be seen as a generalization of linear codes over and . A -linear Hadamard code is a binary Hadamard code which is the Gray map image of a -additive code. A partial classification of these codes by using the dimension of the kernel is known. In this paper, we establish that some -linear Hadamard codes of length are equivalent, once is fixed. This allows us to improve the known upper bounds for the number of such nonequivalent codes. Moreover, up to , this new upper bound coincides with a known lower bound (based on the rank and dimension of the kernel). Finally, when we focus on , the full classification of the -linear Hadamard codes of length is established by giving the exact number of such codes. 相似文献
4.
5.
6.
7.
8.
9.
10.
11.
12.
《Journal of Pure and Applied Algebra》2022,226(12):107140
We explore explicit virtual resolutions, as introduced by Berkesch, Erman, and Smith, for ideals of finite sets of points in . Specifically, we describe a virtual resolution for a sufficiently general set of points X in that only depends on . We also improve an existence result of Berkesch, Erman, and Smith in the special case of points in ; more precisely, we give an effective bound for their construction that gives a virtual resolution of length two for any set of points in . 相似文献
13.
14.
15.
We construct a class of -additive cyclic codes generated by pairs of polynomials, where p is a prime number. Based on probabilistic arguments, we determine the asymptotic rates and relative distances of this class of codes: the asymptotic Gilbert-Varshamov bound at is greater than and the relative distance of the code is convergent to δ, while the rate is convergent to for and . As a consequence, we prove that there exist numerous asymptotically good -additive cyclic codes. 相似文献
17.
19.
We present a generalization of a family of points on , the Diamond ensemble, containing collections of N points on with very small logarithmic energy for all . We extend this construction to the real projective plane and we obtain upper and lower bounds with explicit constants for the Green and logarithmic energy on this last space. 相似文献
20.
A new a priori estimate for solutions to Navier–Stokes equations is derived. Uniqueness and existence of these solutions in for all is proved in a class of solutions locally differentiable in time with values in , where is the Sobolev space. By the solution a solution to an integral equation is understood. No smallness restrictions on the data are imposed. 相似文献