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 e-prints
- Pub Date:
- August 2005
- DOI:
- 10.48550/arXiv.math/0508582
- arXiv:
- arXiv:math/0508582
- Bibcode:
- 2005math......8582A
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14J10;
- 14J26;
- 14Q10
- E-Print:
- 13 pages. Singular or Macaulay2 scripts needed to construct and analyse these surfaces are available at http://www.math.uni-sb.de/~ag-schreyer and http://www.math.colostate.edu/~abo/programs.html