Principal Homogeneous Spaces and Group Scheme Extensions

Autor: Waterhouse, William C.

Publikováno v: Transactions of the American Mathematical Society, 1971 Jan 01. 153, 181-189.

Externí odkaz: https://www.jstor.org/stable/1995554

Generalized Picard–Vessiot extensions and differential Galois cohomology

Autor: Anand Pillay, Zoé Chatzidakis

Publikováno v: Annales de la Faculté des Sciences de Toulouse. Mathématiques.
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2020, 28 (5), pp.813-830. ⟨10.5802/afst.1615⟩

International audience; In [17] it was proved that if a differential field (K, δ) of charaacteris-tic 0 is algebraically closed and closed under Picard-Vessiot extensions then every differential algebraic P HS over K for a linear differential algebr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d087990cb53b4aa25004b3763cbf30e5
https://hal.archives-ouvertes.fr/hal-02613387/file/article.pdf

A classification of isometry groups of homogeneous 3-manifolds

Autor: Panagiotis Konstantis, Frank Loose

Publikováno v: Mathematische Nachrichten. 289:1648-1664

We classify pairs (M,G) where M is a 3-dimensional simply connected smooth manifold and G a Lie group acting on M transitively, effectively with compact isotropy group.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::edf07c26e693d20fa438583651e5f96b
https://doi.org/10.1002/mana.201400292

ABELIAN -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES

Autor: Anthony Várilly-Alvarado, Bianca Viray

Publikováno v: Forum of Mathematics, Sigma. 5

Let$Y$be a principal homogeneous space of an abelian surface, or a K3 surface, over a finitely generated extension of$\mathbb{Q}$. In 2008, Skorobogatov and Zarhin showed that the Brauer group modulo algebraic classes$\text{Br}\,Y/\text{Br}_{1}\,Y$is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9aa760b2cc7d8c0c4dda99953610dfce
https://doi.org/10.1017/fms.2017.16

Reductivity and finiteness of pseudo-reflections of algebraic groups and homogeneous fiber bundles

Autor: Haruhisa Nakajima

Publikováno v: Journal of Pure and Applied Algebra. 217:1548-1562

Let G be an affine algebraic group defined over an algebraically closed field K of any characteristic. For an affine Krull scheme X over SpecK and a regular action G on X, a pseudo-reflection group R(X,G) of the action (X,G) is defined to be a genera

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::275a821dab2b2598a8f1d0eb8c070375
https://doi.org/10.1016/j.jpaa.2012.11.010