Package description and tables for the paper "Fields of definition of building blocks"

TL;DR

This paper provides an implementation in Magma of algorithms for determining fields of definition of building blocks in algebraic geometry, along with detailed data tables supporting the theoretical results.

Contribution

It introduces a Magma implementation of algorithms for computing fields of definition of building blocks, supplementing the original theoretical work with practical computational tools.

Findings

Successful implementation of algorithms in Magma

Comprehensive tables of computational data

Enhanced understanding of fields of definition in algebraic geometry

Abstract

This document contains additional information for the paper: J. Quer. Fields of definition of building blocks, Math. Comp. 78 (2009), no. 265, pp. 537--554. It contains a description of the implementation in Magma of the algorithms and computational techniques described in that paper, and also several tables with data that were elaborated using this implementation.