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4 papers · 2 filters
The 2-Weierstrass points of genus 3 hyperelliptic curves with extra automorphisms
T. Shaska, C. Shor
For each group , \, which acts as a full automorphism group on a genus 3 hyperelliptic curve, we determine the family of curves which have 2-Weierstrass points. Such…
Genus 3 hyperelliptic curves with (2, 4, 4)-split Jacobians
T. Shaska
We study degree 2 and 4 elliptic subcovers of hyperelliptic curves of genus 3 defined over . The family of genus 3 hyperelliptic curves which have a degree 2 cover to an…
Bielliptic curves of genus 3 in the hyperelliptic moduli
T. Shaska, F. Thompson
In this paper we study bielliptic curves of genus 3 defined over an algebraically closed field and the intersection of the moduli space $\M_3^b$ of such curves with the hyperel…
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 (of genus ) with an automorphism such that generates a norma…