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Title: | Divisors of bielliptic surfaces and embeddings in p4 |
Author: | Serrano, Fernando |
Keywords: | Cicles algebraics Superfícies algebraiques Varietats algebraiques Universitat de Barcelona. Institut de Matemàtica |
Issue Date: | 1989 |
Publisher: | Universitat de Barcelona |
Series/Report no: | Mathematics Preprint Series; 62 |
Abstract: | 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. |
Note: | Preprint enviat per a la seva publicació en una revista científica: Mathematische Zeitschrift. 1990, Vol. 203, p. 527-533. |
Note: | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 32.2] |
URI: | http://hdl.handle.net/2445/151641 |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N062.pdf | 412.01 kB | Adobe PDF | View/Open |
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