17 citations · 115 across the 43 of their papers we have counts for
8 papers · 1 filter
Multiprojective Geometry of Compatible Triples of Fundamental and Essential Matrices
Timothy Duff, Viktor Korotynskiy, Anton Leykin +1
We characterize the variety of compatible fundamental matrix triples by computing its multidegree and multihomogeneous vanishing ideal. This answers the first interesting case of a…
Noetherian Operators in Macaulay2
Justin Chen, Yairon Cid-Ruiz, Marc Härkönen +2
A primary ideal in a polynomial ring can be described by the variety it defines and a finite set of Noetherian operators, which are differential operators with polynomial coefficie…
Stillman's conjecture via generic initial ideals
Jan Draisma, Michal Lason, Anton Leykin
Using recent work by Erman-Sam-Snowden, we show that finitely generated ideals in the ring of bounded-degree formal power series in infinitely many variables have finitely generate…
Equivariant Gröbner bases
Christopher J. Hillar, Robert Krone, Anton Leykin
Algorithmic computation in polynomial rings is a classical topic in mathematics. However, little attention has been given to the case of rings with an infinite number of variables…
Hilbert series of symmetric ideals in infinite polynomial rings via formal languages
Robert Krone, Anton Leykin, Andrew Snowden
Let be the polynomial ring where and , and let be an ideal of stable under the natural action of the infinite symmetric g…
Equivariant lattice generators and Markov bases
Thomas Kahle, Robert Krone, Anton Leykin
It has been shown recently that monomial maps in a large class respecting the action of the infinite symmetric group have, up to symmetry, finitely generated kernels. We study the…