| 书目名称 | Tropical Algebraic Geometry |
| 编辑 | Illia Itenberg,Grigory Mikhalkin,Eugenii Shustin |
| 视频video | |
| 概述 | Contains polished notes of three introductory courses to tropical geometry.Based on a seminar at the Mathematical Research Center in Oberwolfach in October 2004.Includes supplementary material: |
| 丛书名称 | Oberwolfach Seminars |
| 图书封面 |  |
| 描述 | This book is based on the lectures given at the Oberwolfach Seminar on Tropical Algebraic Geometry in October 2004. Tropical Geometry ?rst appeared as a subject of its own in 2002, while its roots can be traced back at least to Bergman’s work [1] on logarithmic limit sets. Tropical Geometry is now a rapidly developing area of mathematics. It is int- twined with algebraic and symplectic geometry, geometric combinatorics, in- grablesystems, and statistical physics. Tropical Geometry can be viewed as a sort of algebraic geometry with the underlying algebra based on the so-called tropical numbers. The tropicalnumbers (the term “tropical” comesfrom computer science and commemorates Brazil, in particular a contribution of the Brazilian school to the language recognition problem) are the real numbers enhanced with negative in?nity and equipped with two arithmetic operations called tropical addition and tropical multiplication. The tropical addition is the operation of taking the m- imum. The tropical multiplication is the conventional addition. These operations are commutative, associative and satisfy the distribution law. It turns out that such tropical algebra describes some meaningful |
| 出版日期 | Textbook 2009Latest edition |
| 关键词 | Tropical Geometry; algebraic geometry; algebraic varieties; amoebas; enumerative geometry |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-0346-0048-4 |
| isbn_softcover | 978-3-0346-0047-7 |
| isbn_ebook | 978-3-0346-0048-4Series ISSN 1661-237X Series E-ISSN 2296-5041 |
| issn_series | 1661-237X |
| copyright | Birkhäuser Basel 2009 |
发表于 2025-3-21 18:57:09
