Families of rationally simply connected varieties over surfaces and torsors for semisimple groups

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dc.creatorde Jong, A. J.
dc.creatorHe, Xuhua
dc.creatorStarr, Jason Michael
dc.date2008-09-30
dc.date.accessioned2026-07-07T10:06:26Z
dc.date.available2026-07-07T10:06:26Z
dc.descriptionUnder suitable hypotheses, we prove that a form of a projective homogeneous variety $G/P$ defined over the function field of a surface over an algebraically closed field has a rational point. The method uses an algebro-geometric analogue of simple connectedness replacing the unit interval by the projective line. As a consequence, we complete the proof of Serre's Conjecture II in Galois cohomology for function fields over an algebraically closed field.
dc.identifierhttps://arxiv.org/abs/0809.5224
dc.identifierhttp://arxiv.org/abs/0809.5224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170326
dc.subjectAlgebraic Geometry
dc.titleFamilies of rationally simply connected varieties over surfaces and torsors for semisimple groups
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