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arXiv · 1905.09991

Virtual Complete Intersections in $\mathbb{P}^1 \times \mathbb{P}^1$

Jiyang Gao·Yutong Li·Michael C. Loper·Amal Mattoo
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Abstract

The minimal free resolution of the coordinate ring of a complete intersection in projective space is a Koszul complex on a regular sequence. In the product of projective spaces $\mathbb{P}^1 \times \mathbb{P}^1$, we investigate which sets of points have a virtual resolution that is a Koszul complex on a regular sequence. This paper provides conditions on sets of points; some of which guarantee the points have this property, and some of which guarantee the points do not have this property.

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Jiyang Gao, Yutong Li, Michael C. Loper, Amal Mattoo. 2019-05-24. Virtual Complete Intersections in $\mathbb{P}^1 \times \mathbb{P}^1$. https://arxiv.org/abs/1905.09991

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