A new family of rational surfaces in P^4
arXiv:math/0404492 · doi:10.1016/j.jsc.2004.09.003
Abstract
We describe a new method of constructing rational surfaces with given invariants in P^4 and present a family of degree 11 rational surfaces of sectional genus 11 with 2 six-secants that we found with this method.
10 pages, AMSLateX, 1 figure. Texfile contains additional Macaulay scripts (see also http://www-ifm.math.uni-hannover.de/~bothmer/surface)
References in corpus (1)
Cited by in corpus (5)
- Experimental results for the Poincaré center problem (including an Appendix with Martin Cremer)
- Focal values of plane cubic centers
- Classification of rational surfaces of degree 11 and sectional genus 11 in P^4
- Construction of rational surfaces of degree 12 in projective fourspace (with an appendix by Kristian Ranestad)
- Finite Field Experiments (with an Appendix by Stefan Wiedmann)