Principal homogeneous space and Tate–Shafarevich group

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Principal homogeneous space and Tate–Shafarevich group

Principal homogeneous space vs. Tate–Shafarevich group

In mathematics, a principal homogeneous space, or torsor, for a group G is a homogeneous space X for G in which the stabilizer subgroup of every point is trivial. In arithmetic geometry, the Tate–Shafarevich group Ш(A/K), introduced by and, of an abelian variety A (or more generally a group scheme) defined over a number field K consists of the elements of the Weil–Châtelet group WC(A/K).

Similarities between Principal homogeneous space and Tate–Shafarevich group

Principal homogeneous space and Tate–Shafarevich group have 6 things in common (in Unionpedia): Abelian variety, American Mathematical Society, Cambridge University Press, Galois cohomology, Rational point, Selmer group.

Abelian variety

In mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functions.

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

American Mathematical Society and Principal homogeneous space · American Mathematical Society and Tate–Shafarevich group · See more »

Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

Cambridge University Press and Principal homogeneous space · Cambridge University Press and Tate–Shafarevich group · See more »

Galois cohomology

In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups.

Galois cohomology and Principal homogeneous space · Galois cohomology and Tate–Shafarevich group · See more »

Rational point

In number theory and algebraic geometry, a rational point of an algebraic variety is a solution of a set of polynomial equations in a given field.

Principal homogeneous space and Rational point · Rational point and Tate–Shafarevich group · See more »

Selmer group

In arithmetic geometry, the Selmer group, named in honor of the work of by, is a group constructed from an isogeny of abelian varieties.

Principal homogeneous space and Selmer group · Selmer group and Tate–Shafarevich group · See more »

The list above answers the following questions

What Principal homogeneous space and Tate–Shafarevich group have in common
What are the similarities between Principal homogeneous space and Tate–Shafarevich group

Principal homogeneous space and Tate–Shafarevich group Comparison

Principal homogeneous space has 62 relations, while Tate–Shafarevich group has 24. As they have in common 6, the Jaccard index is 6.98% = 6 / (62 + 24).

References

This article shows the relationship between Principal homogeneous space and Tate–Shafarevich group. To access each article from which the information was extracted, please visit:

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