English

A new family of rational surfaces in P^4

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0404492,
  title  = {A new family of rational surfaces in P^4},
  author = {Hans-Christian Graf v. Bothmer and Cord Erdenberger and Katharina Ludwig},
  journal= {arXiv preprint arXiv:math/0404492},
  year   = {2007}
}

Comments

10 pages, AMSLateX, 1 figure. Texfile contains additional Macaulay scripts (see also http://www-ifm.math.uni-hannover.de/~bothmer/surface)