Irregular elliptic surfaces of degree 12 in projective fourspace

✍ Scribed by Hirotachi Abo; Kristian Ranestad

• Book ID: 102492853
• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 196 KB
• Volume: 278
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200310256

✦ Synopsis

Abstract

So far 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 two different constructions of irregular smooth minimal elliptic surfaces of degree 12 in ℙ^4^. The first is a monad construction while the other uses liaison. The family constructed via liaison includes the surfaces of the first family as a special case. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)