TY - BOOK
T1 - Tropical algebraic geometry
AU - Itenberg, Ilia
AU - Mikhalkin, Grigory
AU - Shustin, Eugenii
PY - 2007
Y1 - 2007
N2 - 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 varieties. These notes present an introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make the first steps in the subject which is not yet well represented in the literature. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics.
AB - 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 varieties. These notes present an introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make the first steps in the subject which is not yet well represented in the literature. The intended audience is graduate, post-graduate, and Ph.D. students as well as established researchers in mathematics.
U2 - 10.1007/978-3-7643-8310-7
DO - 10.1007/978-3-7643-8310-7
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SN - 9783764383091
SN - 3764383097
VL - 35
T3 - Oberwolfach Seminars
BT - Tropical algebraic geometry
PB - Birkhäuser Verlag Basel • Boston • Berlin
CY - Basel
ER -