Fibre products of Kummer covers and curves with many points

Date

2007-10-01

Author

Özbudak, Ferruh

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

39
views

0
downloads

We study the general fibre product of any two Kummer covers of the projective line over finite fields. Under some assumptions, we obtain an involved condition for the existence of rational points in the fibre product over a rational point of the projective line so that we determine the exact number of the rational points. Using this, we construct explicit examples of such fibre products with many rational points. In particular we obtain a record and a new entry for the table (http://www.science.uva.nl/(similar to)geer/tables-mathcomp15.ps).

Subject Keywords

Algebra and Number Theory, Applied Mathematics

URI

https://hdl.handle.net/11511/37720

Journal

Applicable Algebra in Engineering, Communications and Computing

DOI

https://doi.org/10.1007/s00200-007-0047-8

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Value sets of Lattes maps over finite fields Küçüksakallı, Ömer (Elsevier BV, 2014-10-01) We give an alternative computation of the value sets of Dickson polynomials over finite fields by using a singular cubic curve. Our method is not only simpler but also it can be generalized to the non-singular elliptic case. We determine the value sets of Lattes maps over finite fields which are rational functions induced by isogenies of elliptic curves with complex multiplication.
Galois structure of modular forms of even weight Gurel, E. (Elsevier BV, 2009-10-01) We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.
Curves with many points and configurations of hyperplanes over finite fields Özbudak, Ferruh (Elsevier BV, 1999-10-01) We establish a correspondence between a class of Kummer extensions of the rational function field and configurations of hyperplanes in an affine space. Using this correspondence, we obtain explicit curves over finite fields with many rational points. Some of our examples almost attain the Oesterle bound. (C) 1999 Academic Press.
Toeplitz operators on Arveson and Dirichlet spaces Alpay, Daniel; Kaptanoglu, H. Turgay (Springer Science and Business Media LLC, 2007-05-01) We define Toeplitz operators on all Dirichlet spaces on the unit ball of C-N and develop their basic properties. We characterize bounded, compact, and Schatten-class Toeplitz operators with positive symbols in terms of Carleson measures and Berezin transforms. Our results naturally extend those known for weighted Bergman spaces, a special case applies to the Arveson space, and we recover the classical Hardy-space Toeplitz operators in a limiting case; thus we unify the theory of Toeplitz operators on all th...
NONCOMMUTATIVE HOLOMORPHIC FUNCTIONAL CALCULUS, AFFINE AND PROJECTIVE SPACES FROM NC-COMPLETE ALGEBRAS Dosi, A. (American Mathematical Society (AMS), 2020-01-01) The paper is devoted to a noncommutative holomorphic functional calculus and its application to noncommutative algebraic geometry. A description is given for the noncommutative (infinite-dimensional) affine spaces A(q)(x), 1 = 0, are calculated.

Citation Formats

F. Özbudak, “Fibre products of Kummer covers and curves with many points,” Applicable Algebra in Engineering, Communications and Computing, pp. 433–443, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37720.