Now showing items 1-10 of 10

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

      Shaska, Tony (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 ...
    • Isogenous elliptic subcovers of genus two curves 

      Beshaj, Lubjana; Elezi, Artur; Shaska, Tony (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 ...
    • Mësimdhënia e matematikës nëpërmjet problemeve klasike 

      Shaska, Tony; Shaska, Bedri (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 ...
    • On generalized superelliptic Riemann surfaces 

      Hidalgo, Ruben; Quispe, Saul; Shaska, Tony (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 ...
    • On the automorphism groups of some AG-codes based on C_{a,b} curves 

      Shaska, Tony; Wang, Quang (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 ...
    • Rational points in the moduli space of genus two 

      Shaska, Tony; Beshaj, Lubjana; Hidalgo, Ruben; Kruk, Serge; Malmendier, Andreas; Quispe, Saul (Contemporary Mathematics, 2018)
      We build a database of genus 2 curves defined over the field of rationals.
    • Self-inversive polynomials, curves, and codes 

      Shaska, Tony; Joyner, David (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
    • Some open problems in computational algebraic geometry. 

      Shaska, Tony (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 ...
    • Special issue on algebra and computational algebraic geometry 

      Elezi, Artur; Shaska, Tony (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 ...
    • Thetanulls of cyclic curves of small genus 

      Previato, Emma; Shaska, Tony; Wijesiri, Sujeeva (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 ...