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- Publisher Website: 10.1007/s10240-011-0035-1
- Scopus: eid_2-s2.0-79960990136
- WOS: WOS:000297365200001
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Article: Families of rationally simply connected varieties over surfaces and torsors for semisimple groups
| Title | Families of rationally simply connected varieties over surfaces and torsors for semisimple groups |
|---|---|
| Authors | |
| Issue Date | 2011 |
| Citation | Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques, 2011, v. 114, n. 1, p. 1-85 How to Cite? |
| Abstract | Under 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. © 2011 IHES and Springer-Verlag. |
| Persistent Identifier | http://hdl.handle.net/10722/329228 |
| ISSN | 2023 Impact Factor: 6.0 2023 SCImago Journal Rankings: 7.086 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | de Jong, A. J. | - |
| dc.contributor.author | He, Xuhua | - |
| dc.contributor.author | Starr, Jason Michael | - |
| dc.date.accessioned | 2023-08-09T03:31:18Z | - |
| dc.date.available | 2023-08-09T03:31:18Z | - |
| dc.date.issued | 2011 | - |
| dc.identifier.citation | Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques, 2011, v. 114, n. 1, p. 1-85 | - |
| dc.identifier.issn | 0073-8301 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/329228 | - |
| dc.description.abstract | Under 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. © 2011 IHES and Springer-Verlag. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques | - |
| dc.title | Families of rationally simply connected varieties over surfaces and torsors for semisimple groups | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s10240-011-0035-1 | - |
| dc.identifier.scopus | eid_2-s2.0-79960990136 | - |
| dc.identifier.volume | 114 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.spage | 1 | - |
| dc.identifier.epage | 85 | - |
| dc.identifier.eissn | 1618-1913 | - |
| dc.identifier.isi | WOS:000297365200001 | - |