Mathematics – Algebraic Geometry
Scientific paper
2007-03-22
Mathematics
Algebraic Geometry
27 pages, 12 figures. v2: Errors corrected, notation improved, referances added, Example 9.3 new
Scientific paper
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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