Syzygies of Abelian and Bielliptic Surfaces in ℙ4

DOI10.1142/S0129167X97000421zbMath0919.14020arXivalg-geom/9606013OpenAlexW2144603779MaRDI QIDQ4374337

Kristian Ranestad, Sorin Popescu, Wolfram Decker, Klaus Hulek, Alf Bjørn Aure

Publication date: 5 March 1998

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9606013

zbMATH Keywords

abelian surfacesliaisonHartshorne-Rao moduleselliptic scrollsHeisenberg modulesMoore matriceselliptic normal curvesirregular surfaces in \(\mathbb{P}^4\)syzygies of bielliptic surfaces

Mathematics Subject Classification ID

Elliptic curves (14H52) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Syzygies, resolutions, complexes and commutative rings (13D02) Special surfaces (14J25)

Related Items

A new family of rational surfaces in \(\mathbb P^{4}\), Pfaffian presentations of elliptic normal curves, Calabi-Yau three-folds and moduli of abelian surfaces II, On quasi-complete intersections of codimension 2, On the Regularity of Codimension Two Surfaces and Threefolds with Singular Loci, Non-general type surfaces in \(\mathbb{P}^4\): Some remarks on bounds and constructions, Deforming Nonnormal Isolated Surface Singularities and Constructing Threefolds with $$\mathbb{P}^{1}$$ as Exceptional Set

Uses Software

• Macaulay2