Now showing items 1-6 of 6
Self-inversive polynomials, curves, and codes
(American Mathematical Society, 2016-03-05)
We study connections between self-inversive and self-reciprocal polynomials, reduction theory of binary forms, minimal models of curves, and formally self-dual codes
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 ...
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
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 ...
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.