Software

numperiods

numperiods is a Sagemath package to compute periods of projective surfaces as well as related invariants (Picard group, endomorphism ring). It was used to compute the database quarticdb.

gitlab.inria.fr/lairez/numperiods

BinomSums

BinomSums is a package for the computer algebra system Maple that provides functions to handle multiple binomial sums through integral representations. It implements the algorithms described in “Multiple binomial sums” (with Bostan and Salvy).

github.com/lairez/binomsums

Periods

Periods is a package for the computer algebra system Magma that provides functions to compute periods of rational integrals. It implements the algorithm described in “Computing periods of rational integrals”. Several computational premières have been performed with it and it has been critical in augmenting and the database of Calabi-Yau operators. It is also capable of integrating the integral representations that the package BinomSums outputs.

github.com/lairez/periods