dc.rights.license | CC-BY-NC-ND | |
dc.contributor.advisor | Beukers, F. | |
dc.contributor.author | Nelen, I.F.M.M. | |
dc.date.accessioned | 2018-04-16T17:01:36Z | |
dc.date.available | 2018-04-16T17:01:36Z | |
dc.date.issued | 2018 | |
dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/28947 | |
dc.description.abstract | At the end of the twentieth century plaster models of algebraic surface were
constructed by the company of Schilling. Many universities have some series
of these models but a rigorous mathematical background to the theory is most
often not given. In this thesis a mathematical background is given for the cubic
surfaces and quartic ruled surfaces on which two series of Schilling models are
based, series VII and XIII.
The background consists of the classification of all complex cubic surface through
the number and type of singularities lying on the surface. The real cubic surfaces
are classified by which of the singularities are real and the number and
configuration of the lines lying on the cubic surface. The ruled cubic and quartic
surfaces all have a singular curve lying on them and they are classified by the
degree of this curve. | |
dc.description.sponsorship | Utrecht University | |
dc.format.extent | 3491790 | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.title | A Mathematical background to Cubic and Quartic Schilling Models | |
dc.type.content | Master Thesis | |
dc.rights.accessrights | Open Access | |
dc.subject.keywords | Mathematical Models, Algebraic Geometry, Schilling Models, Cubic Surface, Ruled Surface | |
dc.subject.courseuu | Mathematical Sciences | |