Summary: Construction of Rational Surfaces
in Projective Fourspace
(joint work with Kristian Ranestad)
Department of Mathematics
Colorado State University
:= projective fourspace over C.
Theorem (-, Ranestad, 2004).
There exist five different families of smooth rational
surface in P4
with degree 12 and sectional genus 13.
These surfaces are all isomorphic to P2
blown up in