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 -