Exterior algebra methods for the construction of rational surfaces in the projective fourspace
Abstract
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2005
 DOI:
 10.48550/arXiv.math/0508582
 arXiv:
 arXiv:math/0508582
 Bibcode:
 2005math......8582A
 Keywords:

 Mathematics  Algebraic Geometry;
 14J10;
 14J26;
 14Q10
 EPrint:
 13 pages. Singular or Macaulay2 scripts needed to construct and analyse these surfaces are available at http://www.math.unisb.de/~agschreyer and http://www.math.colostate.edu/~abo/programs.html