1 citations · 1 across the 8 of their papers we have counts for
8 papers
Collinearly complete sets and finite subgroups from configurations of skew -planes in
Giuseppe Favacchio, Jake Kettinger
We study collinearly complete finite sets of points arising from configurations of pairwise skew -planes in . To such a configuration we associate a groupo…
Finite groupoids of configurations of lines in
Jake Kettinger
In this paper, we investigate groupoids coming from configurations of lines in three-dimensional space. Given a point and two skew lines in over a field , t…
On the algebraic properties of the Böröczky configuration
Jake Kettinger, Shahriyar Roshan-Zamir
The Böröczky configuration of lines and (multiple) points exhibits extremal behavior in commutative algebra and combinatorics. Examples of this appear in the context of the contain…
The classification of quasi-elliptic fibrations and unexpected plane cubics in characteristics 2 and 3
Jake Kettinger
In this paper, we categorize all isomorphism classes of quasi-elliptic surfaces over a field of characteristic 2 or 3. For every quasi-elliptic surface , we classify all pos…
Oriented Steiner Triple Systems, Steiner Products, and Dynamics
Jake Kettinger, Chris Peterson
Let S denote a Steiner triple system on an n-element set. An orientation of S is an assignment of a cyclic ordering to each of the triples in S. From an oriented Steiner triple sys…
The dynamics of the Hesse derivative on the -invariant
Jake Kettinger
In this paper, we study the Hesse derivative of a cubic curve on the set of -invariants, which can be viewed as a rational function on the Riemann sphere. We then analyze the dy…
The geproci property in positive characteristic
Jake Kettinger
The geproci property is a recent development in the world of geometry. We call a set of points an -geproci set (for GEneral PROjection is a Comple…
Extreme values of the resurgence for homogeneous ideals in polynomial rings
Brian Harbourne, Jake Kettinger, Frank Zimmitti
We show that two ostensibly different versions of the asymptotic resurgence introduced by Guardo, Harbourne and Van Tuyl in 2013 are the same. We also show that the resurgence and…