A remark on the geometry of elliptic scrolls¶and bielliptic surfaces

Abstract

intersecting transversallyalonganellipticnormalquinticcurveisasingularsurfaceZ whichbehavesnumerically like a bielliptic surface. In the appendix to the paper [ADHPR]where the equations of this singular surface were computed, we provedthat Z de nes a smooth point in the appropriate Hilbert scheme and thatZ cannot be smoothed in P