41 citations · 74 across the 5 of their papers we have counts for
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math.AG2020★ 3 cited
Varieties of Tropical Ideals are Balanced
Diane Maclagan, Felipe Rincón
Tropical ideals, introduced in arXiv:1609.03838, define subschemes of tropical toric varieties. We prove that the top-dimensional parts of their varieties are balanced polyhedral c…
math.AG2016★ 41 cited
Tropical Ideals
Diane Maclagan, Felipe Rincón
We introduce and study a special class of ideals, called tropical ideals, in the semiring of tropical polynomials, with the goal of developing a useful and solid algebraic foundati…
math.AG2014
Tropical schemes, tropical cycles, and valuated matroids
Diane Maclagan, Felipe Rincón
We show that the weights on a tropical variety can be recovered from the tropical scheme structure proposed by the Giansiracusas in arXiv:1308.0042, so there is a well-defined Hilb…