THE GEPROCI PROPERTY IN POSITIVE CHARACTERISTIC

被引:1
|
作者
Kettinger, Jake [1 ]
机构
[1] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA
关键词
Geproci; projection; spread; maximal partial spread; unexpected;
D O I
10.1090/proc/16809
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
. The geproci property is a recent development in the world of geometry. We call a set of points Z subset of P3k an (a, b)-geproci set (for GEneral PROjection is a Complete Intersection) if its projection from a general point P to a plane is a complete intersection of curves of degrees a <= b. Nondegenerate examples known as grids have been known since 2011. Nondegenerate nongrids were first described in 2018, working in characteristic 0. Almost all of these new examples are of a special kind called half grids. In this paper, based partly on the author's thesis, we use a feature of geometry in positive characteristic to give new methods of producing geproci half grids and non-half grids.
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页码:3229 / 3242
页数:14
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