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 |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
Descrizione fisica | 1 online resource (362 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary Mathematics |
Soggetto topico |
Tropical geometry
Combinatorial analysis |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0940-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910480091803321 |
Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
Descrizione fisica | 1 online resource (362 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Tropical geometry
Combinatorial analysis |
ISBN | 1-4704-0940-2 |
Classificazione | 14T0514T9951M2012J2014M2532P0514C3005E4514H5232S05 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 degenerate 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. |
Record Nr. | UNINA-9910788900203321 |
Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
|
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 |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
Descrizione fisica | 1 online resource (362 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Tropical geometry
Combinatorial analysis |
ISBN | 1-4704-0940-2 |
Classificazione | 14T0514T9951M2012J2014M2532P0514C3005E4514H5232S05 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 degenerate 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. |
Record Nr. | UNINA-9910827425003321 |
Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Dynamical scale transform in tropical geometry / / Tsuyoshi Kato (Kyoto University, Japan) |
Autore | Kato Tsuyoshi <1961-> |
Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2017] |
Descrizione fisica | 1 online resource (270 pages) |
Disciplina | 516.3/5 |
Soggetto topico |
Tropical geometry
Geometry, Algebraic |
ISBN | 981-4635-37-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910149709403321 |
Kato Tsuyoshi <1961->
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New Jersey : , : World Scientific, , [2017] | ||
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Lo trovi qui: Univ. Federico II | ||
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Mirror symmetry and tropical geometry : NSF-CBMS Conference on Tropical Geometry and Mirror Symmetry, December 13-17, 2008, Kansas State University, Manhattan, Kansas / / Ricardo Castaño-Bernard, Yan Soibelman, Ilia Zharkov, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
Descrizione fisica | 1 online resource (184 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Tropical geometry
Calabi-Yau manifolds Algebraic varieties Symmetry (Mathematics) Mirror symmetry |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-8206-6
0-8218-5851-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""References""""Motivic Donaldson-Thomas invariants: summary of results""; ""On the structure of supersymmetric T3 fibrations""; ""Log Hodge groups on a toric Calabi-Yau degeneration""; ""Tropical theta characteristics"" |
Record Nr. | UNINA-9910480582903321 |
Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
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Lo trovi qui: Univ. Federico II | ||
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Mirror symmetry and tropical geometry : NSF-CBMS Conference on Tropical Geometry and Mirror Symmetry, December 13-17, 2008, Kansas State University, Manhattan, Kansas / / Ricardo Castaño-Bernard, Yan Soibelman, Ilia Zharkov, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
Descrizione fisica | 1 online resource (184 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Tropical geometry
Calabi-Yau manifolds Algebraic varieties Symmetry (Mathematics) Mirror symmetry |
ISBN |
0-8218-8206-6
0-8218-5851-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Closed form expressions for Hodge numbers of complete intersection Cabali-Yau threefolds in toric varieties / Charles F. Doran and Andrey Y. Novoseltsev -- Anchored Lagrangian submanifolds and their Floer theory / Kenji Fukaya [and others] -- Motivic Donaldson-Thomas invariants : summary of results / Maxim Kontsevich and Yan Soibelman -- On the structure of supersymmetric T³ fibrations / David R. Morison -- Log Hodge groups on a toric Calabi-Yau degeneration / Helge Ruddat -- Tropical theta characteristics / Ilia Zharkov. |
Record Nr. | UNINA-9910788633403321 |
Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
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Lo trovi qui: Univ. Federico II | ||
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Mirror symmetry and tropical geometry : NSF-CBMS Conference on Tropical Geometry and Mirror Symmetry, December 13-17, 2008, Kansas State University, Manhattan, Kansas / / Ricardo Castaño-Bernard, Yan Soibelman, Ilia Zharkov, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
Descrizione fisica | 1 online resource (184 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Tropical geometry
Calabi-Yau manifolds Algebraic varieties Symmetry (Mathematics) Mirror symmetry |
ISBN |
0-8218-8206-6
0-8218-5851-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Closed form expressions for Hodge numbers of complete intersection Cabali-Yau threefolds in toric varieties / Charles F. Doran and Andrey Y. Novoseltsev -- Anchored Lagrangian submanifolds and their Floer theory / Kenji Fukaya [and others] -- Motivic Donaldson-Thomas invariants : summary of results / Maxim Kontsevich and Yan Soibelman -- On the structure of supersymmetric T³ fibrations / David R. Morison -- Log Hodge groups on a toric Calabi-Yau degeneration / Helge Ruddat -- Tropical theta characteristics / Ilia Zharkov. |
Record Nr. | UNINA-9910822705003321 |
Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
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Lo trovi qui: Univ. Federico II | ||
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Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
Descrizione fisica | 1 online resource (394 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Idempotents
Tropical geometry Mathematical physics |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-8174-4
0-8218-4782-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Tropical Convex Hull Computations""""Complex Roots of Systems of Tropical Equations and Stability of Electrical Power Networks""; ""Dequantization, Statistical Mechanics and Econophysics""; ""Graph Selectors and the Max-Plus Finite Element Method""; ""Complexity Reduction, Cornices and Pruning""; ""Tropical Analysis of Plurisubharmonic Singularities""; ""Multiorder, Kleene Stars and Cyclic Projectors in the Geometry of Max Cones""; ""A Tropical Version of the Schauder Fixed Point Theorem""; ""Tropical Cones Defined by Max-linear Inequalities""
""Minimum Representing Measures in Idempotent Analysis"" |
Record Nr. | UNINA-9910481000803321 |
Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
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Lo trovi qui: Univ. Federico II | ||
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Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
Descrizione fisica | 1 online resource (394 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Idempotents
Tropical geometry Mathematical physics |
ISBN |
0-8218-8174-4
0-8218-4782-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Tropical Convex Hull Computations -- Complex Roots of Systems of Tropical Equations and Stability of Electrical Power Networks -- Dequantization, Statistical Mechanics and Econophysics -- Graph Selectors and the Max-Plus Finite Element Method -- Complexity Reduction, Cornices and Pruning -- Tropical Analysis of Plurisubharmonic Singularities -- Multiorder, Kleene Stars and Cyclic Projectors in the Geometry of Max Cones -- A Tropical Version of the Schauder Fixed Point Theorem -- Tropical Cones Defined by Max-linear Inequalities -- Minimum Representing Measures in Idempotent Analysis. |
Record Nr. | UNINA-9910788798103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Tropical and idempotent mathematics : International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / / G.L. Litvinov, S.N. Sergeev, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
Descrizione fisica | 1 online resource (394 p.) |
Disciplina | 516.3/5 |
Collana | Contemporary mathematics |
Soggetto topico |
Idempotents
Tropical geometry Mathematical physics |
ISBN |
0-8218-8174-4
0-8218-4782-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Tropical Convex Hull Computations -- Complex Roots of Systems of Tropical Equations and Stability of Electrical Power Networks -- Dequantization, Statistical Mechanics and Econophysics -- Graph Selectors and the Max-Plus Finite Element Method -- Complexity Reduction, Cornices and Pruning -- Tropical Analysis of Plurisubharmonic Singularities -- Multiorder, Kleene Stars and Cyclic Projectors in the Geometry of Max Cones -- A Tropical Version of the Schauder Fixed Point Theorem -- Tropical Cones Defined by Max-linear Inequalities -- Minimum Representing Measures in Idempotent Analysis. |
Record Nr. | UNINA-9910809226103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
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Lo trovi qui: Univ. Federico II | ||
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