Transverse intersection refers to the situation where two or more varieties intersect in a way that is transversal, meaning that at each point of intersection, the tangent spaces of the varieties sum to the ambient space. This condition ensures that the intersection behaves nicely, allowing for a proper dimensionality and structure of the intersection space. Understanding transverse intersections is vital in tropical geometry as it connects with the concept of stable intersections and contributes to how these geometric objects interact in a tropical setting.
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