Tropical Algebraic Geometry
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...
| Main Authors: | , , |
|---|---|
| Format: | eBook |
| Language: | Inglés |
| Published: |
Basel :
Birkhäuser Basel
2007.
|
| Edition: | 1st ed. 2007. |
| Series: | Oberwolfach Seminars,
35 |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462062506719 |
Table of Contents:
- 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.
