Vollmer, Philipp (2016) Arithmetic Divisors on Products of Curves over non-Archimedean Fields. PhD, Universität Regensburg.
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Abstract (English)
In this thesis we investigate posivitiy properties of arithmetic divisors induced by real-valued functions on a skeleton of the self product of a non-Archimedean curve. The main result is that if the functions have sufficiently good differentiability properties the arithmetic divisors are DSP i.e., differences of semipositive arithmetic divisors. Further topics include explicit computations of ...
Translation of the abstract (German)
In dieser Arbeit beschäftigen wir uns mit Positivitätseigenschaften von arithmetischen Divisoren, die durch reellwertige Funktionen auf einem Skelett auf dem Selbstprodukt einer nicht-archimedischen Kurve induziert werden. Das Hauptresultat ist, daß, wenn die Funktionen hinreichend oft differenzierbar sind, die arithmetischen Divisoren dann bereits DSP sind, d.h. Differenzen von semipositiven ...
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| Item type: | Thesis of the University of Regensburg (PhD) |
|---|---|
| Date: | 27 July 2016 |
| Referee: | Prof. Dr. Klaus Künnemann |
| Date of exam: | 8 July 2016 |
| Institutions: | Mathematics > Prof. Dr. Klaus Künnemann Mathematics > Prof. Dr. Walter Gubler |
| Keywords: | Arithmetic divisors, DSP, local heights, Chambert-Loir measures, Berkovich spaces, Skeleta of Berkovich spaces |
| Dewey Decimal Classification: | 500 Science > 510 Mathematics |
| Status: | Published |
| Refereed: | Yes, this version has been refereed |
| Created at the University of Regensburg: | Yes |
| Item ID: | 34146 |
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