Classification of rational surfaces of degree 11 and sectional genus 11 in P^4

Details Classification of rational surfaces of degree 11 and sectional genus 11 in P^4 Classification of rational surfaces of degree 11 and sectional genus 11 in P^4

2006-03-23

arxiv.org/abs/math/0603567v2

Math. Scand. 104 (2009), 60-94

Mathematics

Algebraic Geometry

26 pages, 2 Macaulay scripts can found at the end of the source file or at http://www-ifm.math.uni-hannover.de/~bothmer/degree

Scientific paper

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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