Algebraic and combinatorial aspects of tropical geometry : CIEM Workshop on Tropical Geometry, December 12-16, 2011, International Center for Mathematical Meetings, Castro Urdiales, Spain / / Erwan Brugallé [and four others],editors
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| Titolo: |
Algebraic and combinatorial aspects of tropical geometry : CIEM Workshop on Tropical Geometry, December 12-16, 2011, International Center for Mathematical Meetings, Castro Urdiales, Spain / / Erwan Brugallé [and four others],editors
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| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| ©2013 | |
| Descrizione fisica: | 1 online resource (362 p.) |
| Disciplina: | 516.3/5 |
| Soggetto topico: | Tropical geometry |
| Combinatorial analysis | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | BrugalléErwan <1977-> |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Dedication""; ""Preface""; ""Intersection multiplicity numbers between tropical hypersurfaces""; ""Introduction""; ""1. Toric hypersurfaces""; ""2. Intersection of toric hypersurfaces""; ""3. Tropical hypersurfaces""; ""4. Intersection of tropical hypersurfaces""; ""5. Intersection multiplicity numbers between tropical hypersurfaces""; ""6. Tropical intersection numbers via volumes of Cayley polytopes""; ""7. Non degenenerate tropical complete intersections""; ""References""; ""On the total curvature of tropical hypersurfaces""; ""1. Introduction""; ""2. Preliminary"" |
| ""2.1. Total curvature""""2.2. Tropical hypersurfaces""; ""2.3. Real convergent Puiseux series and tropicalisation""; ""2.4. Real tropical hypersurfaces""; ""3. Total curvature of real and complex amoebas""; ""4. Complex and real total curvature of tropical hypersurfaces""; ""4.1. Complex total curvature""; ""4.2. Total curvature of real tropical hypersurfaces""; ""5. Polyhedral total curvature of a real tropical hypersurface.""; ""5.1. Definition and elementary properties""; ""5.2. Elementary simplex case""; ""5.3. Proof of Proposition 5.8""; ""6. Complement""; ""6.1. Tropical lower bound"" | |
| ""Tropically unirational varieties""""1. Tropical Unirationality""; ""Acknowledgements""; ""2. Linear spaces, toric varieties, homogenisation, curves""; ""3. Combining reparameterisations""; ""4. Birational projections""; ""5. Very local reparameterisations""; ""6. Concluding remarks""; ""References""; ""A Guide to Tropicalizations""; ""1. Introduction""; ""2. Analytification""; ""3. Tropicalization""; ""4. Models over the valuation ring and reduction""; ""5. Initial degeneration""; ""6. Affine toric schemes over a valuation ring""; ""7. Toric schemes over a valuation ring"" | |
| ""6. The layered categories and the corresponding tropicalization functors"" | |
| Titolo autorizzato: | Algebraic and combinatorial aspects of tropical geometry |
| ISBN: | 1-4704-0940-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480091803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Contemporary mathematics (American Mathematical Society) ; ; Volume 589.