3 citations · 5 across the 9 of their papers we have counts for
14 papers
Refined Humbert invariants and subvarieties of $\Ac_2(\C)$: the rank 3 case
Elisa Lorenzo García, Christophe Ritzenthaler
Over the complex field, we show that the principally polarised abelian surfaces with a given refined Humbert invariant of rank 3 are all Galois conjugated.
Computing Invariants of Artin-Schreier Curves
Juanita Duque-Rosero, Elisa Lorenzo García, Beth Malmskog +1
We present an algorithmic framework for computing generators for the ring of invariants of an Artin-Schreier curve. We give explicit invariants for almost all Artin-Schreier curves…
Refinements of Katz-Sarnak theory for the number of points on curves over finite fields
Jonas Bergström, Everett W. Howe, Elisa Lorenzo García +1
This paper goes beyond Katz-Sarnak theory on the distribution of curves over finite fields according to their number of rational points, theoretically, experimentally and conjectur…
Determining the primes of bad reduction of CM curves of genus 3
Sorina Ionica, Pinar Kiliçer, Kristin Lauter +3
In this paper we introduce a new problem called the Isogenous Embedding Problem (IEP). The existence of solutions to this problem is related to the primes of bad reduction of CM cu…
Lower bounds on the maximal number of rational points on curves over finite fields
Jonas Bergström, Everett W. Howe, Elisa Lorenzo García +1
For a given genus , we give lower bounds for the maximal number of rational points on a smooth projective absolutely irreducible curve of genus over .…
Decomposing Jacobians via Galois covers
Davide Lombardo, Elisa Lorenzo García, Christophe Ritzenthaler +1
Let be a (possibly ramified) cover between two algebraic curves of positive genus. We develop tools that may identify the Prym variety of , up to isogeny, a…
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…
On different expressions for invariants of hyperelliptic curves of genus 3
Elisa Lorenzo García
In this paper we give a passage formula between different invariants of genus 3 hyperelliptic curves: in particular between Tsuyumine and Shioda invariants. This is needed to get m…
Stable models of plane quartics with hyperelliptic reduction
Reynald Lercier, Elisa Lorenzo García, Christophe Ritzenthaler
Let C/K: F = 0 be a smooth plane quartic over a complete discrete valuation field K. In a previous paper the authors togetehr with Q. Liu give various characterizations of the redu…
Reduction type of smooth quartics
Reynald Lercier, Qing Liu, Elisa Lorenzo García +1
Let be a smooth plane quartic over a discrete valuation field. We characterize the type of reduction (i.e. smooth plane quartic, hyperelliptic genus 3 curve or bad) over …
Construction of Brauer-Severi Varieties
Elisa Lorenzo García
In this paper we give an algorithm for computing equations of Brauer-Severi varieties over perfect fields of characteristic 0. As an example we show the equations of all Brauer-Sev…
A note on the stratification by automorphisms of smooth plane curves of genus 6
Eslam Badr, Elisa Lorenzo García
In this note, we give a so-called representative classification for the strata by automorphism group of smooth -plane curves of genus , where is a fixed separ…
A bound on the primes of bad reduction for CM curves of genus 3
Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García +3
We give bounds on the primes of geometric bad reduction for curves of genus three of primitive CM type in terms of the CM orders. In the case of genus one, there are no primes of g…
Twists of non-hyperelliptic curves of genus 3
Elisa Lorenzo García
In this paper we explicitly compute equations for the twists of all the smooth plane quartic curves defined over a number field k. Since the plane quartic curves are non-hyperellip…