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Differential Forms on Tropical Spaces
Smacka, Jascha (2017) Differential Forms on Tropical Spaces. PhD, Universität Regensburg.Date of publication of this fulltext: 27 Oct 2017 09:49
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.36262
Abstract (English)
We show some basic cohomological properties of the double complex of differential forms on tropical spaces and the associated derived dual complexes. We then use these results to show that the tropical projective space satisfies an analogue of the ddc -lemma for complex manifolds.
Translation of the abstract (German)
Wir zeigen einige einfache kohomologische Eigenschaften des Doppelkomplexes von Differentialformen sowie assoziierter dualer Komplexe auf tropischen Räumen. Diese nutzen wir, um zu zeigen dass der tropische projektive Raum ein Analogon des klassischen ddc-Lemmas auf komplexen Mannigfaltigkeiten erfüllt.
Involved Institutions
Details
| Item type | Thesis of the University of Regensburg (PhD) |
| Date | 27 October 2017 |
| Referee | Prof. Dr. Walter Gubler |
| Date of exam | 27 July 2017 |
| Institutions | Mathematics > Prof. Dr. Walter Gubler |
| Keywords | Tropical manifolds, differential forms, currents, homological algebra, derived categories, ddc-lemma, Bott-Chern cohomology, Aeppli cohomology |
| 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-362621 |
| Item ID | 36262 |
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