On varieties of Hilbert type
| dc.contributor.author | Bary-Soroker, Lior | deu |
| dc.contributor.author | Fehm, Arno | |
| dc.contributor.author | Petersen, Sebastian | deu |
| dc.date.accessioned | 2013-06-05T09:19:10Z | deu |
| dc.date.available | 2013-06-05T09:19:10Z | deu |
| dc.date.issued | 2013 | deu |
| dc.description.abstract | A variety X over a field K is of Hilbert type if the set of rational points X(K) is not thin. We prove that if f: X\to S is a dominant morphism of K-varieties and both S and all fibers f^{-1}(s), s in S(K), are of Hilbert type, then so is X. We apply this to answer a question of Serre on products of varieties and to generalize a result of Colliot-Th'el`ene and Sansuc on algebraic groups. | eng |
| dc.description.version | published | |
| dc.identifier.arxiv | 1302.4038 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/23524 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2013-06-05 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject | Algebraic Geometry (math.AG) | deu |
| dc.subject | Number Theory (math.NT) | deu |
| dc.subject.ddc | 510 | deu |
| dc.subject.msc | 12E25; 12E30; 14L17 | deu |
| dc.title | On varieties of Hilbert type | eng |
| dc.type | PREPRINT | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @unpublished{BarySoroker2013varie-23524,
year={2013},
title={On varieties of Hilbert type},
author={Bary-Soroker, Lior and Fehm, Arno and Petersen, Sebastian}
} | |
| kops.citation.iso690 | BARY-SOROKER, Lior, Arno FEHM, Sebastian PETERSEN, 2013. On varieties of Hilbert type | deu |
| kops.citation.iso690 | BARY-SOROKER, Lior, Arno FEHM, Sebastian PETERSEN, 2013. On varieties of Hilbert type | eng |
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| kops.flag.knbibliography | true | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-235244 | deu |
| kops.submitter.email | madeline.kreissner@uni-konstanz.de | deu |
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