VARIATIONS ON A THEME OF GROUPS SPLITTING BY A QUADRATIC EXTENSION AND GROTHENDIECK-SERRE CONJECTURE FOR GROUP SCHEMES F4 WITH TRIVIAL g3 INVARIANT
نویسندگان
چکیده
We study structure properties of reductive group schemes defined over a local ring and splitting over its étale quadratic extension. As an application we prove Serre–Grothendieck conjecture on rationally trivial torsors over a local regular ring containing a field of characteristic 0 for group schemes of type F4 with trivial g3 invariant.
منابع مشابه
Variations on a Theme of Groups Splitting by a Quadratic Extension and Grothendieck-Serre Conjecture for Group Schemes
We study structure properties of reductive group schemes defined over a local ring and splitting over its étale quadratic extension. As an application we prove Serre–Grothendieck conjecture on rationally trivial torsors over a local regular ring containing a field of characteristic 0 for group schemes of type F4 with trivial g3 invariant. 2010 Mathematics Subject Classification: 20G07, 20G10, 2...
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