This is the outdated website of the Mathematical Institute


This site will be taken offline in the summer of 2017.
See the new website at www.universiteitleiden.nl/en/science/mathematics
and the website for students at www.student.universiteitleiden.nl [choose programme Wiskunde (BSc) or Mathematics (MSc) or Statistical Science (MSc)]
and the website for staff at www.staff.universiteitleiden.nl

Mathematical Institute Leiden

home | webmaster | log in | nederlandse versie
On Perfect Cuboids - 2001-12
By R.M. van Luijk

Perfect cuboids are rectangular parallelepipeds of which all sides, face diagonals and full diagonals are integers. They correspond to rational points on an explicit algebraic surface. In this paper we prove that this singular surface is of general type. We also analyse a surface describing cuboids of which all the lengths above are integral, except possibly of one of the face diagonals. This is shown to be a singular K3-surface and we compute its full NĂ©ron-Severi group.



Further info:
This paper will not be published.

2001-12.ps (1118.46 kB)
2001-12.ps.gz (427.63 kB)