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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Tropical Algebraic Geometry ([EBook]) / by Illia Itenberg, Grigory Mikhalkin, Eugenii Shustin.
Author	Itenberg, Illia
Added Personal Name	Mikhalkin, Grigory
Added Personal Name	Shustin, Eugenii
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2009.
Physical Details	: online resource.
Series	Oberwolfach Seminars ; 35
ISBN	9783034600484
Summary Note	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.:
Contents note	Preface -- 1. Introduction to tropical geometry - Images under the logarithm - Amoebas - Tropical curves -- 2. Patchworking of algebraic varieties - Toric geometry - Viro's patchworking method - Patchworking of singular algebraic surfaces - Tropicalization in the enumeration of nodal curves -- 3. Applications of tropical geometry to enumerative geometry - Tropical hypersurfaces - Correspondence theorem - Welschinger invariants -- Bibliography.
System details note	Online Access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0346-0048-4
Links to Related Works	Subject References: Algebraic Geometry . Geometry, Algebraic . Mathematics . Authors: author . Itenberg, Illia . Mikhalkin, Grigory . Shustin, Eugenii . Corporate Authors: SpringerLink (Online service) . Series: Oberwolfach Seminars . Classification: 516.35 . 516.35 (DDC 23) .

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Tropical Algebraic Geometry

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