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Record Nr. |
UNINA9910480091803321 |
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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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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (362 p.) |
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Collana |
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Contemporary Mathematics, , 1098-3627 ; ; Volume 589 |
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Disciplina |
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Soggetti |
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Tropical geometry |
Combinatorial analysis |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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""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"" |
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