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Lisse 1-Motives
Haas, Johann (2020) Lisse 1-Motives. PhD, Universität Regensburg.Date of publication of this fulltext: 02 Nov 2020 09:46
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.43953
Abstract (English)
We study and compare the two different notions of rational
lisse 1-motives due to Deligne and more recently due to Pepin Lehalleur. We establish a Néron-Ogg-Shafarevich criterion over normal base schemes of arbitrary dimension. As an application we obtain new "independence of l"-results for l-adic cohomology of curves and commutative group schemes.
Translation of the abstract (German)
Wir untersuchen und vergleichen zwei verschiedene Begriffe rationaler glatter 1-Motive nach Deligne und kürzlicher nach Pepin Lehalleur. Wir zeigen ein Néron-Ogg-Shafarevich-Kriterium über normalen Basischemata beliebiger Dimension. Als Anwendung desselben erhalten wir neue "Unabhängigkeit von l"-Resultate für l-adische Kohomologie von Kurven und kommutativen Gruppenschemata.
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Details
| Item type | Thesis of the University of Regensburg (PhD) | ||||||||
| Date | 2 November 2020 | ||||||||
| Referee | Prof. Dr. Moritz Kerz | ||||||||
| Date of exam | 10 July 2020 | ||||||||
| Institutions | Mathematics > Prof. Dr. Moritz Kerz | ||||||||
| Classification |
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| Keywords | 1-Motives, independence of l, Motives, Good Reduction, Néron-Ogg-Shafarevich, local systems | ||||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||||
| Status | Published | ||||||||
| Refereed | Yes, this version has been refereed | ||||||||
| Created at the University of Regensburg | Yes | ||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-439532 | ||||||||
| Item ID | 43953 |
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