23 citations · 180 across the 35 of their papers we have counts for
26 papers · 1 filter
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.
An arithmetic intersection for squares of elliptic curves with complex multiplication
Elisa Lorenzo García, Christophe Ritzenthaler, Fernando Rodríguez Villegas
Let be a genus curve with Jacobian isomorphic to the square of an elliptic curve with complex multiplication by a maximal order in an imaginary quadratic field of discrimin…
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…
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 .…
Spanning the isogeny class of a power of an ordinary elliptic curve over a finite field. Application to the number of rational points of curves of genus
Markus Kirschmer, Fabien Narbonne, Christophe Ritzenthaler +1
Let be an ordinary elliptic curve over a finite field and be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of p…
Siegel modular forms of degree three and invariants of ternary quartics
Reynald Lercier, Christophe Ritzenthaler
We determine the structure of the graded ring of Siegel modular forms of degree 3. It is generated by 19 modular forms, among which we identify a homogeneous system of parameters w…