I will talk about the construction of a rational surface of degree 12 in projective fourspace. This surface is new and of interest in the classification of smooth non-general type surfaces in projective fourspace. This classification problem is motivated by the theorem of Ellingsrud and Peskine, which says that the degrees of such surfaces are bounded. Moreover, the rational surfaces in projective fourspace were previously known up to degree 11.

This surface was found in collaboration with Frank-Olaf Schreyer.

Last Updated: March 10 2004 by Hirotachi Abo