G. Wijesiri

most citedThetanulls of cyclic curves of small genus

22 citations · 27 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.AG2013

Degree 4 coverings of elliptic curves by genus 2 curves

T. Shaska, G. Wijesiri, S. Wolf +1

Genus two curves covering elliptic curves have been the object of study of many articles. For a fixed degree $n$ the subloci of the moduli space $M_{2}$ of curves having a d…

math.AG2013★ 22 cited

Thetanulls of cyclic curves of small genus

E. Previato, T. Shaska, G. S. Wijesiri

We study relations among the classical thetanulls of cyclic curves, namely curves $X$ (of genus $g (X) > 1$ ) with an automorphism $σ$ such that $σ$ generates a norma…

math.AG2012★ 4 cited

Theta functions and algebraic curves with automorphisms

T. Shaska, G. S. Wijesiri

Let $\X$ be an irreducible, smooth, projective curve of genus $g \geq 2$ defined over the complex field $\C.$ Then there is a covering $π: \X \longrightarrow ¶^1,$ where $¶^{1}$ deno…

math.AG2012★ 1 cited

Codes over rings of size $p^{2}$ and lattices over imaginary quadratic fields

T. Shaska, C. Shor, G. Wijesiri

Let $ℓ > 0$ be a square-free integer congruent to 3 mod 4 and $Ø_{K}$ the ring of integers of the imaginary quadratic field $K = Q (- ℓ)$ . Codes $C$ over rings $Ø_{K} / p Ø_{K}$ d…

math.AG2012

Codes over rings of size four, Hermitian lattices, and corresponding theta functions