Classification of rational surfaces of degree 11 and sectional genus 11 in p⁴

authored by

Hans Christian Graf v. Bothmer, Kristian Ranestad

Abstract

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

Organisation(s)

Institute of Algebraic Geometry

External Organisation(s)

University of Oslo

Type

Article

Journal

Mathematica Scandinavica

Volume

104

Pages

60-94

No. of pages

35

ISSN

0025-5521

Publication date

2009

Publication status

Published

Peer reviewed

Yes

Electronic version(s)

https://doi.org/10.7146/math.scand.a-15085 (Access: Open)