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...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Ausgabe: | 2nd ed. 2009. |
| Schriftenreihe: | Oberwolfach Seminars
35 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Tropical algebraic geometry, Ilia Itenberg, Grigory Mikhalkin, Eugenii Shustin, 2nd edition, 2009, Basel, Birkhäuser, 1 vol. (VIII-104 p.), Oberwolfach Seminars, 978-3-0346-0047-7 • Tropical Algebraic Geometry, Texte imprimé, 9783034601313 |
Inhaltsangabe:
- 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