6 citations · 9 across the 11 of their papers we have counts for
13 papers
Torsion points on -type abelian varieties
Jessica Alessandrì, Nirvana Coppola
It is well known that the rational torsion of an abelian variety defined over a number field injects into the reduction modulo any sufficiently large prime, so the order of the tor…
On the local-global principle for twists of abelian varieties and Galois representations
Nirvana Coppola, Lorenzo La Porta, Matteo Longo
This paper investigates the validity of a local-global principle for finite twists of a large class of objects endowed with a continuous action of the absolute Galois group of a gi…
Wild Galois representations: elliptic curves with wild cyclic reduction
Nirvana Coppola
In 1990, Kraus classified all possible inertia images of the -adic Galois representation attached to an elliptic curve over a non-archimedean local field. In previous work, t…
Geometrically simple counterexamples to a local-global principle for quadratic twists
Emiliano Ambrosi, Nirvana Coppola, Francesc Fité
Two abelian varieties and over a number field are said to be strongly locally quadratic twists if they are quadratic twists at every completion of . While it was kno…
On the conductor of Ciani plane quartics
Irene Bouw, Nirvana Coppola, Elisa Lorenzo García +1
In this paper we determine the conductor exponent of non-special Ciani quartics at primes of potentially good reduction in terms of the Ciani invariants. As an intermediate step in…
Power values of power sums: a survey
Nirvana Coppola, Mar Curcó-Iranzo, Maleeha Khawaja +2
Research on power values of power sums has gained much attention of late, partially due to the explosion of refinements in multiple advanced tools in (computational) Number Theory…
On perfect powers that are sums of cubes of a nine term arithmetic progression
Nirvana Coppola, Mar Curcó-Iranzo, Maleeha Khawaja +2
We study the equation , which is a natural continuation of previous works carried out b…
Formalized Class Group Computations and Integral Points on Mordell Elliptic Curves
Anne Baanen, Alex J. Best, Nirvana Coppola +1
Diophantine equations are a popular and active area of research in number theory. In this paper we consider Mordell equations, which are of the form , where is a (gi…
Reduction type of genus-3 curves in a special stratum of their moduli space
Irene Bouw, Nirvana Coppola, Pınar Kılıçer +3
We study a 3-dimensional stratum of the moduli space of curves of genus parameterizing curves that admit a certain action of $V= C_2\tim…
Wild Galois representations: a family of hyperelliptic curves with large inertia image
Nirvana Coppola
In this work we generalise the main result of arXiv:1812.05651 to the family of hyperelliptic curves with potentially good reduction over a -adic field which have degree and…
Markov's Theorem
Matteo Barucco, Nirvana Coppola
This survey consists of a detailed proof of Markov's Theorem based on Joan Birman's book "Braids, Links, and Mapping Class Groups" and Carlo Petronio's classes. It was part of an e…
Wild Galois representations: elliptic curves over a -adic field with non-abelian inertia action
Nirvana Coppola
In this paper we present a description of the Galois representation attached to an elliptic curve defined over a -adic field , in the case where the image of inertia is non-a…
Wild Galois Representations: Elliptic curves over a -adic field
Nirvana Coppola
Given an elliptic curve over a local field with residue characteristic , we investigate the action of the absolute Galois group of in the case of potentially good re…