# name
Divisors of bielliptic surfaces and embeddings in p4

# metadata.dc.description[].value
Preprint enviat per a la seva publicació en una revista científica: Mathematische Zeitschrift. 1990, Vol. 203, p. 527-533.

# metadata.dc.description.abstract[].value
Bielliptic surfaces (also called "hyperelliptic surfaces") are defined to be minimal algebraic
surf aces of Kodaira dimension O and irregularity 1. They play a special role in the birational classification
of surfaces. The first part of this paper gives an explicit description of the cohomology group H 2(S, Z)
for a bielliptic surface S. In the second part the author proves the existence of smooth bielliptic surfaces
in P4 • The proof relies on Reider's criterion for very-ampleness. In fact, a complete characterization of
polarized bielliptic surfaces in P4 is given. These surfaces add to the very short list of known irregular surfaces in P4 , the other two being the abelian surfaces of Horrocks-Mumford and the elliptic quintic
scrolls.

# metadata.dc.relation.isformatof[].value
Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 32.2]

# metadata.dc.source[].value
Preprints de Matemàtiques - Mathematics Preprint Series

# metadata.dc.subject.other[].value
Universitat de Barcelona. Institut de Matemàtica

# metadata.dc.title[].value
Divisors of bielliptic surfaces and embeddings in p4