Exterior algebra methods for the construction of rational surfaces in the projective fourspace

Details Exterior algebra methods for the construction of rational surfaces in the projective fourspace Exterior algebra methods for the construction of rational surfaces in the projective fourspace

2005-08-29

arxiv.org/abs/math/0508582v1

Mathematics

Algebraic Geometry

13 pages. Singular or Macaulay2 scripts needed to construct and analyse these surfaces are available at http://www.math.uni-

Scientific paper

The aim of this paper is to present a construction of smooth rational
surfaces in projective fourspace with degree 12 and sectional genus 13. The
construction is based on exterior algebra methods, finite field searches and
standard deformation theory.

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