---

＜電子ブック＞
Tropical Algebraic Geometry / by Ilia Itenberg, Grigory Mikhalkin, Eugenii I. Shustin
(Oberwolfach Seminars. ISSN:22965041 ; 35)

版	1st ed. 2007.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2007
本文言語	英語
大きさ	VIII, 104 p. 30 illus : online resource
著者標目	*Itenberg, Ilia author Mikhalkin, Grigory author Shustin, Eugenii I author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry FREE:Algebraic Geometry
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-7643-8310-7

 類似資料