<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Anabelian aspects in the étale homotopy theory of Brauer-Severi varieties"^^ . "We study the étale homotopy theory of Brauer-Severi varieties over fields of characteristic 0.\r\nWe prove that the induced Galois representations on geometric homotopy invariants (e.g., l-adic cohomology or higher homotopy groups) are all isomorphic for Brauer-Severi varieties of the same dimension.\r\nIf the base field has cohomological dimension smaller or equal 2 then we can show more in the case of Brauer-Severi curves:\r\nThere is even an isomorphism between the Hochschild-Serre spectral sequences computing cohomology with local coefficients.\r\nFurther, we study homotopy rational and homotopy fixed points on Brauer-Severi varieties and their connections to genuine rational points.\r\nIn particular, we show that under a suitable assumption on the first profinite Chern class map an analogue of the weak section conjecture for Brauer-Severi varieties turns out to be true.\r\nWe can give a counter example to this analogue without the extra assumption over p-adic local fields.\r\n"^^ . "2013" . . . . . . . "Johannes"^^ . "Schmidt"^^ . "Johannes Schmidt"^^ . . . . . . "Anabelian aspects in the étale homotopy theory of Brauer-Severi varieties (PDF)"^^ . . . "etale_homotopy_theory_of_brauer-severi_varieties_Abgabefassung.pdf"^^ . . . "Anabelian aspects in the étale homotopy theory of Brauer-Severi varieties (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Anabelian aspects in the étale homotopy theory of Brauer-Severi varieties (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Anabelian aspects in the étale homotopy theory of Brauer-Severi varieties (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Anabelian aspects in the étale homotopy theory of Brauer-Severi varieties (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Anabelian aspects in the étale homotopy theory of Brauer-Severi varieties (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #14452 \n\nAnabelian aspects in the étale homotopy theory of Brauer-Severi varieties\n\n" . "text/html" . . . "500 Naturwissenschaften und Mathematik"@de . "500 Natural sciences and mathematics"@en . . . "510 Mathematik"@de . "510 Mathematics"@en . .