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1. |
Record Nr. |
UNINA9910788900203321 |
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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 ; ; 589 , 0271-4132 |
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Classificazione |
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14T0514T9951M2012J2014M2532P0514C3005E4514H5232S05 |
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Disciplina |
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Soggetti |
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Tropical geometry |
Combinatorial analysis |
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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 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 |
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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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2. |
Record Nr. |
UNINA9910821362103321 |
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Autore |
Green Daniel R. |
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Titolo |
Fallujah redux : the Anbar awakening and the struggle with al-Qaeda / / Daniel R. Green and William F. Mullen III |
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Pubbl/distr/stampa |
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Annapolis, Maryland : , : Naval Institute Press, , 2014 |
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©2014 |
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ISBN |
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Descrizione fisica |
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1 online resource (193 p.) |
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Disciplina |
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Soggetti |
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Iraq War, 2003-2011 - Campaigns - Iraq - Fallūjah |
Iraq War, 2003-2011 - Campaigns - Iraq - Anbār (Province) |
Counterinsurgency - Iraq - Anbār (Province) |
Anbār (Iraq : Province) Politics and government 2003- |
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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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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Timeline of key events in Fallujah , Iraq -- The stench of death (Fallujah 2004-2006) -- The city of mosques -- The Anbar Awakening -- "Are we losing Fallujah ?" -- Bringing democracy to Iraq -- Operation Alljah -- The Fallujah awakening -- The city awakens -- The swarm and the surge -- A sheik returns and another departs -- The deluge -- Voice of the people. |
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Sommario/riassunto |
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The city of Fallujah, Iraq will long be associated with some of the worst violence and brutality of the Iraq war. The battles to retake the city from insurgent fighters in 2004 have already indelibly carved its name into the historic annals of the U.S. military and occupy a revered place in the storied history of the United States Marine Corps. Initially occupied by U.S. forces in 2003, it eventually served as the |
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headquarters for numerous insurgent groups operating west of Baghdad, including al-Qaeda in Iraq and its leader Abu Musab al-Zarqawi, until forcibly retaken at the end of 2004. On |
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