Construction of rational surfaces of degree 12 in projective fourspace (with an appendix by Kristian Ranestad)

Details Construction of rational surfaces of degree 12 in projective fourspace (with an appendix by Kristian Ranestad) Construction of rational surfaces of degree 12 in projective fourspace (with an appendix by Kristian Ranestad)

2004-11-02

arxiv.org/abs/math/0411051v1

Mathematics

Algebraic Geometry

See http://www.math.colostate.edu/~abo/programs.html for the Macaulay2 scripts

Scientific paper

The aim of this paper is to present two different constructions of smooth
rational surfaces in projective fourspace with degree 12 and sectional genus
13. In particular, we establish the existences of five different families of
smooth rational surfaces in projective fourspace with the prescribed
invariants.

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