3 citations · 6 across the 9 of their papers we have counts for
9 papers
Counting odd genus curves with a marked rational -torsion point
Elvira Lupoian, Lazar Radicevic
In this paper we count, ordered by naive height, the genus curves over the rationals which admit a monic Weierstrass model of odd degree and whose Jacobian has a marked rationa…
Reduction Types of Genus 2 Curves
Edwina Aylward, Lilybelle Cowland Kellock, Vladimir Dokchitser +1
Tate produced a table for elliptic curves over local fields that beautifully summarises their arithmetic invariants in terms of the Kodaira type. We present an analogous set of tab…
Intersections of the Ekedahl-Oort and Newton Strata of
Steven R. Groen, Elvira Lupoian, Mychelle Parker
The moduli space of principally polarised abelian varieties of dimension , defined over an algebraically closed field of characteristic , is studied throug…
Modular Units on and Quotients of the Cuspidal Group
Elvira Lupoian
Modular units are functions on modular curves whose divisors are supported on the cusps. They form a free abelian group of rank at most one less than the number of cusps. In this p…
Ceresa Cycles of
Elvira Lupoian, James Rawson
The Ceresa cycle is an algebraic 1-cycle on the Jacobian of an algebraic curve. Although it is homologically trivial, Ceresa famously proved that for a very general complex curve o…
Three-Torsion Subgroups and Wild Conductor Exponents of Plane Quartics
Elvira Lupoian, James Rawson
In this paper we give an algorithm to find the 3-torsion subgroup of the Jacobian of a smooth plane quartic curve with a marked rational point. We describe torsion points in te…
Computing the Cuspidal Subgroup of the Modular Jacobian
Elvira Lupoian
For a fixed prime congruent to modulo we may define the modular curve associated to the subgroup of non-zero squares modulo . This curve has…
Three-Torsion Subgroups and Wild Conductors of Genus 3 Hyperelliptic Curves
Elvira Lupoian
We give a practical method for computing the 3-torsion subgroup of the Jacobian of a genus 3 hyperelliptic curve. We define a scheme for the 3-torsion points of the Jacobian and us…
Two-Torsion Subgroups of some Modular Jacobians
Elvira Lupoian
We give a practical method to compute the 2-torsion subgroup of the Jacobian of a non-hyperelliptic curve of genus , or . The method is based on the correspondence betwee…