Syzygies of Abelian and Bielliptic Surfaces in P^4

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dc.creatorAure, Alf
dc.creatorDecker, Wolfram
dc.creatorHulek, Klaus
dc.creatorPopescu, Sorin
dc.creatorRanestad, Kristian
dc.date1996-06-20
dc.date1997-03-14
dc.date.accessioned2026-07-07T09:25:18Z
dc.date.available2026-07-07T09:25:18Z
dc.descriptionSo far only six families of smooth irregular surfaces are known to exist in P^4 (up to pullbacks by suitable finite covers of P^4). These are the elliptic quintic scrolls, the minimal abelian and bielliptic surfaces (of degree 10), two different families of non-minimal abelian surfaces of degree 15, and one family of non-minimal bielliptic surfaces of degree 15. The main purpose of the paper is to describe the structure of the Hartshorne-Rao modules and the syzygies for each of these smooth irregular surfaces in P^4, providing at the same time a unified construction method (via syzygies) for these families of surfaces.
dc.description64 pages, author-supplied DVI file available at http://oscar.math.brandeis.edu/~popescu/dvi/bielliptics2.dvi AmS-TeX v. 2.1
dc.identifierhttps://arxiv.org/abs/alg-geom/9606013
dc.identifierhttp://arxiv.org/abs/alg-geom/9606013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156358
dc.subjectAlgebraic Geometry
dc.titleSyzygies of Abelian and Bielliptic Surfaces in P^4
dc.typetext

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