Titlebook: Discovering Mathematics with Magma; Reducing the Abstrac Wieb Bosma,John Cannon Book 2006 Springer-Verlag Berlin Heidelberg 2006 Magma.Perm

Pathogen

conduct

1431-1550 teralgebrasystemlaunchedattheFirstMagmaConferenceonCom- tational Algebra held at Queen Mary and West?eld College, London, August 1993. This book introduces the reader to the role Magma plays in advanced mathematical research. Each paper examines how the computer can be used to gain insight into eith

ambivalence

https://doi.org/10.1007/978-981-19-6120-5ssume the reader has proficiency working with elliptic curves, abelian varieties, modular forms, or modular symbols. The computations give evidence for the Birch and Swinnerton- Dyer conjecture and increase our explicit understanding of modular abelian varieties.

STALL

Applications of the class field theory of global fields,e 1 over finite fields. After a brief review of the handling of both function and number fields in ., we give an introduction to computational class field theory focusing on applications: We show how to construct tables of small degree extensions and how to utilize the class field theory to find curves with many rational points.x

Lumbar-Stenosis

有节制

Graded rings and special K3 surfaces,as an application, construct 27 families of K3 surfaces that appear as degenerate cases of surfaces in the usual lists. These are displayed in Tables 1–3 and include both standard degenerations and new examples.

诽谤

When is projectivity detected on subalgebras?, when its restrictions to all elementary abelian .-subgroups of . are projective. We investigate some similar situations in which the restrictions to subalgebras detect the projectivity of a module over an algebra.

famine

Computer aided discovery of a fast algorithm for testing conjugacy in braid groups,id group. These investigations ultimately lead to the discovery of a new invariant of conjugacy classes in braid groups, to an efficient way of computing this invariant, and in particular to a much more powerful conjugacy test than the one which was originally to be implemented [11].

矛盾心理

Searching for linear codes with large minimum distance, with large minimum distance. In the course of the project, many algorithms to construct and search for good codes have been devised, and some are presented here. In particular, a very efficient algorithm for computing the minimum distance of a code has been developed.

合群

https://doi.org/10.1007/978-981-10-4796-1The . code and some computational results of experiments in number theory are given. The experiments concern covering systems with applications to explicit primality tests, the inverse of Euler’s totient function, and class number relations in Galois extensions of ℚ. Some evidence for various conjectures and open problems is given.