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Real Enriques surfaces
Authors: --- ---
ISBN: 3540410880 Year: 2000 Publisher: New York Berlin Hongkong Springer

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Tropical Algebraic Geometry
Authors: --- ---
ISBN: 3764383100 3764383097 Year: 2007 Publisher: Basel : Birkhäuser Basel : Imprint: Birkhäuser,

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Abstract

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.


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Tropical Algebraic Geometry
Authors: --- ---
ISBN: 303460047X 9786613562197 1280384271 3034600488 9783034600477 Year: 2009 Publisher: Basel : Birkhäuser Basel : Imprint: Birkhäuser,

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Abstract

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.

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