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Irregular elliptic surfaces of degree 12 in projective fourspace
Author(s) -
Abo Hirotachi,
Ranestad Kristian
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310256
Subject(s) - morphism , mathematics , degree (music) , pure mathematics , monad (category theory) , functor , physics , acoustics
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)
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