55 citations · 152 across the 16 of their papers we have counts for
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An elliptic conic bundle in P^4 arising from a stable rank-3 vector bundle
Hirotachi Abo, Wolfram Decker, Nobuo Sasakura
In this note we show the existence of a family of elliptic conic bundles in P^4 of degree 8. This family has been overlooked and in fact falsely ruled out in a series of classifica…
Syzygies of Abelian and Bielliptic Surfaces in P^4
Alf Aure, Wolfram Decker, Klaus Hulek +2
So far only six families of smooth irregular surfaces are known to exist in P^4 (up to pullbacks by suitable finite covers of P^4). These are the elliptic quintic scrolls, the mini…
On surfaces in P^4 and 3-folds in P^5
Wolfram Decker, Sorin Popescu
This is a survey on the classification of smooth surfaces in P^4 and smooth 3-folds in P^5. We recall the corresponding results arising from adjunction theory and explain how to co…
The Geometry of Bielliptic Surfaces in P^4
A. Aure, W. Decker, K. Hulek +2
In 1988 Serrano \cite{Ser}, using Reider's method, discovered a minimal bielliptic surface in $\PP^4$. Actually he showed that there is a unique family of such surfaces and that th…