| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Oort, Prof. Dr. F. | |
| dc.contributor.advisor | Faber, Prof. Dr. C. | |
| dc.contributor.author | Bosch, S. | |
| dc.date.accessioned | 2021-09-07T18:02:20Z | |
| dc.date.available | 2021-09-07T18:02:20Z | |
| dc.date.issued | 2021 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/1166 | |
| dc.description.abstract | In this thesis we discuss Riemann surfaces and (possibly ramified) coverings. We then discuss and prove the Riemann-Hurwitz formula. One of the applications of the Riemann-Hurwitz formula is that it can be used to prove Hurwitz's automorphisms theorem. We discuss this theorem and subsequently prove it. This thesis is ended by giving a short discussion on the equivalence of categories of compact Riemann surfaces and irreducible, non-singular algebraic curves over the complex plane. | |
| dc.description.sponsorship | Utrecht University | |
| dc.format.extent | 1516019 | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | |
| dc.title | The Riemann-Hurwitz formula | |
| dc.type.content | Bachelor Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | Riemann surfaces, Hurwitz's automorphisms theorem, Riemann-Hurwitz formula | |
| dc.subject.courseuu | Wiskunde | |
