Smooth tropical surfaces with infinitely many tropical lines
classification
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math.CO
keywords
tropicallinessmoothsurfacesclassicalinfinitelymanyalgebraic
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We study the tropical lines contained in smooth tropical surfaces in R^3. On smooth tropical quadric surfaces we find two one-dimensional families of tropical lines, like in classical algebraic geometry. Unlike the classical case, however, there exist smooth tropical surfaces of any degree with infinitely many tropical lines.
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