Smooth tropical surfaces with infinitely many tropical lines
Abstract
Description
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.
27 pages, 12 figures. v2: Errors corrected, notation improved, referances added, Example 9.3 new
27 pages, 12 figures. v2: Errors corrected, notation improved, referances added, Example 9.3 new