3 papers
math.AG2019
Computing zero-dimensional tropical varieties via projections
Paul Görlach, Yue Ren, Leon Zhang
We present an algorithm for computing zero-dimensional tropical varieties using projections. Our main tools are fast unimodular transforms of lexicographical Gröbner bases. We prov…
math.AG2018
Detecting tropical defects of polynomial equations
Paul Görlach, Yue Ren, Jeff Sommars
We introduce the notion of tropical defects, certificates that a system of polynomial equations is not a tropical basis, and provide two algorithms for finding them in affine space…
math.AG2018
Coordinate-wise Powers of Algebraic Varieties
Papri Dey, Paul Görlach, Nidhi Kaihnsa
We introduce and study coordinate-wise powers of subvarieties of , i.e. varieties arising from raising all points in a given subvariety of to the -t…