27 citations · 40 across the 9 of their papers we have counts for
9 papers
Abelian surfaces of small conductor from genus 3 double covers
Raymond van Bommel, Céline Maistret, Jia Shi +1
We describe the construction of a database of roughly half a million abelian surfaces over Q of small conductor arising as Pryms associated to a genus 3 double cover of a genus 1 c…
On the factorization of twisted -values and -descents over -number fields
Céline Maistret, Himanshu Shukla
We investigate the Galois module structure of the Tate-Shafarevich group of elliptic curves. For a Dirichlet character , we give an explicit conjecture relating the ideal factor…
Conductor exponents for families of hyperelliptic curves
Martin Azon, Mar Curcó-Iranzo, Maleeha Khawaja +2
We compute the conductor exponents at odd places using the machinery of cluster pictures of curves for three infinite families of hyperelliptic curves. These are families of Frey h…
Computing Euler factors of genus 2 curves at odd primes of almost good reduction
Céline Maistret, Andrew V. Sutherland
We present an efficient algorithm to compute the Euler factor of a genus 2 curve C/Q at an odd prime p that is of bad reduction for C but of good reduction for the Jacobian of C (a…
The 2-parity conjecture for elliptic curves with isomorphic 2-torsion
Holly Green, Celine Maistret
The Birch and Swinnerton--Dyer conjecture famously predicts that the rank of an elliptic curve can be computed from its -function. In this article we consider a weaker version o…
A user's guide to the local arithmetic of hyperelliptic curves
Alex J. Best, L. Alexander Betts, Matthew Bisatt +8
A new approach has been recently developed to study the arithmetic of hyperelliptic curves over local fields of odd residue characteristic via combinatorial data associa…
Parity conjecture for abelian surfaces
Vladimir Dokchitser, Celine Maistret
Assuming finiteness of the Tate--Shafarevich group, we prove that the Birch--Swinnerton-Dyer conjecture correctly predicts the parity of the rank of semistable principally polarise…
Arithmetic of hyperelliptic curves over local fields
Tim Dokchitser, Vladimir Dokchitser, Céline Maistret +1
We study hyperelliptic curves y^2=f(x) over local fields of odd residue characteristic. We introduce the notion of a "cluster picture" associated to the curve, that describes the p…
Elliptic fibrations on covers of the elliptic modular surface of level 5
Francesca Balestrieri, Julie Desjardins, Alice Garbagnati +3
We consider the K3 surfaces that arise as double covers of the elliptic modular surface of level 5, . Such surfaces have a natural elliptic fibration induced by the fibrat…