Elliptic Delsarte surfaces
PhD ceremony: Mr. B.L. Heijne, 14.30 uur, Aula Academiegebouw, Broerstraat 5, Groningen
Dissertation: Elliptic Delsarte surfaces
Promotor(s): prof. J. Top
Faculty: Mathematics and Natural Sciences
An elliptic curve is a curve on which an addition is defined. An elliptic surface is a surface that consists of infinitely many elliptic curves. The addition on these curves gives an addition on the so called group of sections of this surface. The size of this group of sections can be expressed with a number, the rank.
In this thesis we determine that largest possible rank that can be attained for a specific family of elliptic surfaces. This family is the family of elliptic Delsarte surfaces. By subdividing this family into several subfamilies we are able to determine the maximal rank of this entire family. This turns out to be 68. Thereafter the group of sections of elliptic Delsarte surfaces is described as explicitly as possible.
| Last modified: | 13 March 2020 01.12 a.m. |
More news
-
16 September 2025
The ocean absorbs carbon from the air, but what if the temperature increases?
‘Fortunately, seawater absorbs carbon dioxide (CO₂). If it didn’t, things would have been over and done with already,’ according to climate and ocean researchers Richard Bintanja and Rob Middag. But what actually happens to the ocean's carbon...
-
15 September 2025
Successful visit to the UG by Rector of Institut Teknologi Bandung
The Rector of Institut Teknologi Bandung (ITB), Prof Tatacipta Dirgantara, paid a 3-day visit to the UG.
-
10 September 2025
Funding for Feringa and Minnaard from National Growth Fund project Big Chemistry
Two UG research projects have received funding from the National Growth Fund project Big Chemistry via NWO.