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

2005/08/29 by Hirotachi Abo, Frank-Olaf Schreyer, Frank–Olaf Schreyer +2
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Polynomial and algebraic computation #math.AG #msc:14J10 #msc:14J26 #msc:14Q10

paper · pdf · doi:10.48550/arxiv.math/0508582

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

arxiv created 2005/08/29 · arxiv updated 2009/12/01

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.

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