From the 1 of 4 linked papers with an AI index.
4 papers
A complete curve of genus 10 in the moduli space of curves of genus 3 and related questions
Samuel Grushevsky, Christophe Ritzenthaler
The paper proves that there exists a complete algebraic curve of genus 105 inside the moduli space of smooth projective curves of genus 3 over the complex numbers.
Refined Humbert invariants and subvarieties of $\Ac_2(\C)$: the rank 3 case
Elisa Lorenzo GarcÃa, 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.
Functionality for isomorphism classes of curves and hypersurfaces
Thomas Bouchet, Reynald Lercier, Jeroen Sijsling +1
We describe algorithms based on invariant theory to solve problems on the geometry of curves, mainly those of genus 2, 3 and 4. New theoretical results building on the first author…
An arithmetic intersection for squares of elliptic curves with complex multiplication
Elisa Lorenzo GarcÃa, Christophe Ritzenthaler, Fernando RodrÃguez 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…