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Mathematics > Algebraic Geometry

arXiv:1804.08011 (math)
[Submitted on 21 Apr 2018]

Title:Equations and Syzygies of K3 Carpets and Unions of Scrolls

Authors:David Eisenbud, Frank-Olaf Schreyer
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Abstract:We describe the equations and Gröbner bases of some degenerate K3 surfaces associated to rational normal scrolls. These K3 surfaces are members of a class of interesting singular projective varieties we call correspondence scrolls. The ideals of these surfaces are nested in a simple way that allows us to analyze them inductively. We describe explicit Gröbner bases and syzygies for these objects over the integers and this lets us treat them in all characteristics simultaneously.
Subjects: Algebraic Geometry (math.AG)
MSC classes: Primary: 14H99, Secondary: 13D02, 14H51
Cite as: arXiv:1804.08011 [math.AG]
  (or arXiv:1804.08011v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1804.08011

Submission history

From: Frank-Olaf Schreyer [view email]
[v1] Sat, 21 Apr 2018 19:17:54 UTC (38 KB)
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