26 citations · 69 across the 20 of their papers we have counts for
6 papers · 2 filters
Hyperelliptic curves of genus 3 with prescribed automorphism group
J. Gutierrez, D. Sevilla, T. Shaska
We study genus 3 hyperelliptic curves which have an extra involution. The locus of these curves is a 3-dimensional subvariety in the genus 3 hyperelliptic moduli $\H_3$. We f…
Hyperelliptic curves with reduced automorphism group A5
T. Shaska, D. Sevilla
We study genus hyperelliptic curves with reduced automorphism group and give equations for such curves in both cases where is a decomposable polynomial…
Some special families of hyperelliptic curves
T. Shaska
Let denote the locus of hyperelliptic curves of genus whose automorphism group contains a subgroup isomorphic to . We study spaces for $G \iso \Z_n, \Z_2ø\Z_…
On the generic curve of genus 3
T. Shaska, J. L. Thompson
We study genus coverings of full moduli dimension of degree . There is a homomorphism between the corresponding Hurwitz space $\H$ of such covers to the modu…
Invariants of Binary Forms
Vishwanath Krishnamoorthy, Tanush Shaska, Helmut Voelklein
Basic invariants of binary forms over up to degree 6 (and lower degrees) were constructed by Clebsch and Bolza in the 19-th century using complicated symbolic calculati…
Genus 2 curves that admit a degree 5 map to an elliptic curve
K. Magaard, T. Shaska, H. Voelklein
We continue our study of genus 2 curves that admit a cover to a genus 1 curve of prime degree . These curves form an irreducible 2-dimensional subvariety…