Tropical Algebraic Geometry by Ilia Itenberg, Grigory Mikhalkin, Eugenii I. Shustin.
Tropical geometry is algebraic geometry over the semifield of tropical numbers, i.e., the real numbers and negative infinity enhanced with the (max,+)-arithmetics. Geometrically, tropical varieties are much simpler than their classical counterparts. Yet they carry information about complex and real...
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