Dylan Zwick

collaborators

3 papers

math.AG2022

Dimension computations for tropical determinantal varieties and prevarieties

Dylan Zwick

This paper proves that when the $r \times r$ minors of an $m \times n$ matrix of indeterminates are not a tropical basis then the tropical prevariety has greater dimension than the…

math.CO2022

The $4 \times 4$ minors of a $5 \times 5$ symmetric matrix are a tropical basis

Dylan Zwick

This paper proves the $4 \times 4$ minors of a $5 \times 5$ symmetric matrix of indeterminates are a tropical basis.

math.CO2021

Symmetric Kapranov and symmetric tropical ranks

Dylan Zwick

This paper proves the $r \times r$ minors of an $n \times n$ symmetric matrix of indeterminates are a tropical basis when $r = 2$ , $r = 3$ , or $r = n$ , and are not when $4 < r < n$ …

Dimension computations for tropical determinantal varieties and prevarieties

The 4×4 minors of a 5×5 symmetric matrix are a tropical basis

Symmetric Kapranov and symmetric tropical ranks

The $4 \times 4$ minors of a $5 \times 5$ symmetric matrix are a tropical basis