an:07241683
Zbl 1441.13031
Gao, Jiyang; Li, Yutong; Loper, Michael C.; Mattoo, Amal
Virtual complete intersections in \(\mathbb{P}^1\times\mathbb{P}^1\)
EN
J. Pure Appl. Algebra 225, No. 1, Article ID 106473, 14 p. (2021).
00452511
2021
j
13D02 14M25
Summary: 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.