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
-
20 January 2023
Carmem M. Gilardoni wins the Ehrenfest-Afanassjewa thesis prize 2022
Carmem M. Gilardoni wins the Ehrenfest-Afanassjewa thesis prize 2022
-
17 January 2023
The quest for the perfect paint
Hanneke Siebe is working on a fullly sustainable paint, based on gum arabic.
-
16 January 2023
In search of the coveted safer, better, longer-lasting battery: BatteryNL kicks off
On the 12th of January a large number of parties involved in the development of batteries in the Netherlands – small companies, multinationals and knowledge institutes – attended the kick off of the BatteryNL consortium. Their goal is to develop the...