Tropical Algebraic Geometry

• Main Authors: Itenberg, Ilia (Author), Mikhalkin, Grigory (Author), Shustin, Eugenii (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Oberwolfach Seminars ; 35
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

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...