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math.AG2005
Exterior algebra methods for the construction of rational surfaces in the projective fourspace
Hirotachi Abo, Frank-Olaf Schreyer
The aim of this paper is to present a construction of smooth rational surfaces in projective fourspace with degree 12 and sectional genus 13. The construction is based on exterior…
math.AG2004
Construction of rational surfaces of degree 12 in projective fourspace (with an appendix by Kristian Ranestad)
Hirotachi Abo
The aim of this paper is to present two different constructions of smooth rational surfaces in projective fourspace with degree 12 and sectional genus 13. In particular, we establi…
math.AG2002★ 1 cited
Irregular elliptic surfaces of degree 12 in the projective fourspace
Hirotachi Abo, Kristian Ranestad
So far only a few families of smooth irregular surfaces are known to exist in P^4 up to pullbacks by suitable finite morphisms from P^4 onto P^4 itself. In this paper we present tw…