5 papers
Interprocess Communication of Algebraic Data
Antony Della Vecchia
We discuss implementation details of OSCAR's serialization framework, highlighting the design decisions that allow the fine tuning of serialization methods for specific use cases.…
Algebraic Statistics in OSCAR
Tobias Boege, Antony Della Vecchia, Marina Garrote-López +1
We introduce the AlgebraicStatistics section of the OSCAR computer algebra system. We give an overview of its extensible design and highlight its features including serialization o…
An Empirically Fast Las Vegas Algorithm for Algebraic Shifting
Antony Della Vecchia, Michael Joswig, Fabian Lenzen
Improved algorithms for computing (partial and full) exterior algebraic shifts of hypergraphs and simplicial complexes are presented. The main benefit is in positive characteristic…
A FAIR File Format for Mathematical Software
Antony Della Vecchia, Michael Joswig, Benjamin Lorenz
We describe a generic JSON based file format which is suitable for computations in computer algebra. This is implemented in the computer algebra system OSCAR, but we also indicate…
Partial Algebraic Shifting
Antony Della Vecchia, Michael Joswig, Fabian Lenzen
We study algebraic shifting of uniform hypergraphs and finite simplicial complexes in the exterior algebra with respect to matrices which are not necessarily generic. Several quest…