Classification of rational surfaces of degree 11 and sectional genus 11 in ${\mathsf P}^{4}$

Authors

  • Hans-Christian Graf von Bothmer
  • Kristian Ranestad

DOI:

https://doi.org/10.7146/math.scand.a-15085

Abstract

We use the BGG-correspondence to show that there are at most three possible Hilbert functions for smooth rational surfaces of degree 11 and sectional genus 11. Surfaces with one of these Hilbert functions have been classified by Popescu. The classification for a second one is done in this paper. For the third Hilbert function the classification is still open.

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Published

2009-03-01

Issue

Vol. 104 No. 1 (2009)

Section

Articles

How to Cite

[1]
H.-C. Graf von Bothmer and K. Ranestad, “Classification of rational surfaces of degree 11 and sectional genus 11 in ${\mathsf P}^{4}$”, Math. Scand., vol. 104, no. 1, pp. 60–94, Mar. 2009, doi: 10.7146/math.scand.a-15085.