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arXiv · 1804.08011

Equations and Syzygies of K3 Carpets and Unions of Scrolls

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.

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BibTeXRIS

David Eisenbud, Frank-Olaf Schreyer. 2018-04-21. Equations and Syzygies of K3 Carpets and Unions of Scrolls. https://arxiv.org/abs/1804.08011

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