## Search

Now showing items 1-10 of 11

#### Special issue on algebra and computational algebraic geometry

(Albanian J. Math., 2007-12)

Algebraic geometry is one of the main branches of modern mathematics with roots from classical Italian geometers. Its modern flavor started with Grothendieck and continued with many illustrious algebraic geometers of the ...

#### On generalized superelliptic Riemann surfaces

(eprint arXiv:1609.09576, 2016-11-01)

A closed Riemann surface X, of genus g ≥ 2, is called a generalized
superelliptic curve of level n ≥ 2 if it admits an order n conformal
automorphism τ so that X/hτihas genus zero and τ is central in Aut(X); the
cyclic ...

#### Some open problems in computational algebraic geometry.

(Albanian J. Math., 2007-12-15)

The development of computational techniques in the last decade has made possible to attack some
classical problems of algebraic geometry from a computational viewpoint. In this survey, we briefly describe
some open ...

#### On the automorphism groups of some AG-codes based on C_{a,b} curves

(2006-01-15)

We study Ca,b curves and their applications to coding theory.
Recently, Joyner and Ksir have suggested a decoding algorithm based on the
automorphisms of the code. We show how Ca,b curves can be used to construct
MDS ...

#### Cyclic curves over the reals

(eprint arXiv:1501.01559, 2014-11-15)

In this paper we study the automorphism groups of real curves
admitting a regular meromorphic function f of degree p, so called real
cyclic p-gonal curves. When p = 2 the automorphism groups of real
hyperelliptic curves ...

#### Mësimdhënia e matematikës nëpërmjet problemeve klasike

(Albanian J. Math., 2016-12-03)

In this paper we discuss how teaching of mathematics for middle school and high school students can be improved dramatically when motivation of concepts and ideas is done through the classical problems and the history
of ...

#### Isogenous elliptic subcovers of genus two curves

(2017-11-02)

We prove that for $N=2,3, 5, 7$ there are only finitely many genus two curves $\X$ (up to isomorphism) defined over $\Q$ with $(2, 2)$-split Jacobian and $\Aut (\X)\iso V_4$, such that their elliptic subcovers are ...

#### Thetanulls of cyclic curves of small genus

(Albanian J. Math., 2007-12-15)

We study relations among the classical thetanulls of cyclic curves, namely curves $\X$ (of genus $g(\X )>1$ )
with an automorphism $\s$ such that $\s$ generates a normal subgroup of the group $G$ of automorphisms, and
$g ...

#### Rational points in the moduli space of genus two

(Contemporary Mathematics, 2018)

We build a database of genus 2 curves defined over the field of rationals.

#### Curves of genus 2 with (n, n)--decomposable Jacobians

(Journal of Symbolic Computation, 2001-05)

Let C be a curve of genus 2 and ψ1: C − → E 1 a map of degree n, from C to an elliptic curveE1 , both curves defined over C. This map induces a degree n map φ1:P1 − → P 1 which we call a Frey–Kani covering. We determine ...