图书信息
图书目录
热带几何导引（影印版）
暂无简介
作者：
Diane Maclagan，Bernd Sturmfels
定价：
169.00元
出版时间：
2023-03-24
ISBN：
978-7-04-059305-1
物料号：
59305-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
几何学
重点项目：
暂无
版面字数：
620.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 前辅文
- Chapter 1. Tropical Islands
- 1.1. Arithmetic
- 1.2. Dynamic Programming
- 1.3. Plane Curves
- 1.4. Amoebas and their Tentacles
- 1.5. Implicitization
- 1.6. Group Theory
- 1.7. Curve Counting
- 1.8. Compactifications
- 1.9. Exercises
- Chapter 2. Building Blocks
- 2.1. Fields
- 2.2. Algebraic Varieties
- 2.3. Polyhedral Geometry
- 2.4. Gr¨obner Bases
- 2.5. Gr¨obner Complexes
- 2.6. Tropical Bases
- 2.7. Exercises
- Chapter 3. Tropical Varieties
- 3.1. Hypersurfaces
- 3.2. The Fundamental Theorem
- 3.3. The Structure Theorem
- 3.4. Multiplicities and Balancing
- 3.5. Connectivity and Fans
- 3.6. Stable Intersection
- 3.7. Exercises
- Chapter 4. Tropical Rain Forest
- 4.1. Hyperplane Arrangements
- 4.2. Matroids
- 4.3. Grassmannians
- 4.4. Linear Spaces
- 4.5. Surfaces
- 4.6. Complete Intersections
- 4.7. Exercises
- Chapter 5. Tropical Garden
- 5.1. Eigenvalues and Eigenvectors
- 5.2. Tropical Convexity
- 5.3. The Rank of a Matrix
- 5.4. Arrangements of Trees
- 5.5. Monomials in Linear Forms
- 5.6. Exercises
- Chapter 6. Toric Connections
- 6.1. Toric Background
- 6.2. Tropicalizing Toric Varieties
- 6.3. Orbits
- 6.4. Tropical Compactifications
- 6.5. Geometric Tropicalization
- 6.6. Degenerations
- 6.7. Intersection Theory
- 6.8. Exercises
- Bibliography
- Index
