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Geometric and Arithmetic Volumes on Quasi-Projective Varieties
Biswas, Debam
(2025)
Geometric and Arithmetic Volumes on Quasi-Projective Varieties.
PhD, Universität Regensburg.
Date of publication of this fulltext: 28 Jul 2025 12:43
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.77443
Abstract (English)
Geometric and Arithmetic volumes are important invariants appearing in algebraic and Arakelov geometry. In this thesis, we study these volumes in the recent setting of Arakelov geometry on quasi-projective varieties introduced by Yuan and Zhang.
Translation of the abstract (German)
Geometrische und arithmetische Volumen sind wichtige Invarianten, die in der algebraischen und Arakelov-Geometrie auftreten. In dieser Arbeit untersuchen wir diese Volumina im Rahmen der kürzlich von Yuan und Zhang eingeführten Arakelov-Geometrie auf quasi-projektiven Sorten.
Involved Institutions
Details
| Item type | Thesis of the University of Regensburg (PhD) |
| Date | 28 July 2025 |
| Referee | Prof. Dr. Walter Gubler and Prof. Dr. Klaus Kunnemann and Prof. Dr. Huayi Chen |
| Date of exam | 24 July 2025 |
| Institutions | Mathematics > Prof. Dr. Walter Gubler |
| Keywords | Algebraic Geometry, Arakelov Geometry, Volumes |
| 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-774438 |
| Item ID | 77443 |
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