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The motivic polylogarithm for smooth quasi-projective schemes and its realizations
Thesis of the University of Regensburg
Eisenreich, Sandra Maria (2015) The motivic polylogarithm for smooth quasi-projective schemes and its realizations. PhD, Universität Regensburg.DOI to cite this document: 10.5283/epub.32277
Abstract (English)
We develop the first general motivic definition of the polylogarithm. Here, we do not restrict ourselves to the classical cases of curves and abelian schemes, but deal with the far more general class of smooth quasi-projective schemes over some base-scheme. After a general definition of the polylogarithm, we compute its mixed realization and compare it to the classical cases.
Translation of the abstract (German)
Wir entwickeln die erste allgemeine, motivische Definition des Polylogarithmus. Hierbei schränken wir uns nicht auf die klassischen Fälle von Kurven oder abelschen Schemata ein, sondern betrachten die weitaus allgemeinere Klasse von glatten quasi-projektiven schemata über einem Basis-Schema. Nach einer allgemeinen Definition des Polylogarithmus bestimmen wir seine gemischte Realisierung und vergleichen sie mit den klassischen Fällen.
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Details
| Item type | Thesis of the University of Regensburg (PhD) |
| Open Access Type | Primary Publication |
| Date | 10 August 2015 |
| Date of publication | 10 Aug 2015 12:48 |
| Referee | Prof. Dr. Guido Kings |
| Date of exam | 9 June 2015 |
| Institutions | Mathematics > Prof. Dr. Guido Kings |
| Keywords | polylogarithm, motivic bar complexes, universal pro-unipotent sheaf |
| 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-322778 |
| Item ID | 32277 |
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