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Existence of Unimodular Triangulations-Positive Results
| Existence of Unimodular Triangulations-Positive Results |
| Autore | Haase Christian |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (96 pages) |
| Disciplina | 516/.08 |
| Altri autori (Persone) |
PaffenholzAndreas
PiechnikLindsay C |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convex polytopes
Triangularization (Mathematics) Combinatorial geometry Convex and discrete geometry -- Polytopes and polyhedra -- Lattice polytopes (including relations with commutative algebra and algebraic geometry) Convex and discrete geometry -- Polytopes and polyhedra -- $n$-dimensional polytopes Commutative algebra -- Arithmetic rings and other special rings -- Polynomial rings and ideals; rings of integer-valued polynomials |
| ISBN |
9781470465308
1470465302 |
| Classificazione | 52B2052B1113F20 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. What? -- 1.2. Why? Who? -- 1.3. What is new? -- 1.4. What is not here -- 1.5. What is left? -- Chapter 2. Methods -- 2.1. Pulling Triangulations -- 2.2. Push-forward subdivisions and pull-back subdivisions -- 2.3. Joins and (Fiber) Products -- 2.4. Toric Gröbner Bases -- Chapter 3. Examples -- 3.1. Polytopes cut out by roots -- 3.2. Polytopes spanned by roots -- 3.3. Other Graph Polytopes -- 3.4. Lecture hall polytopes -- 3.5. Smooth Polytopes -- 3.6. The Gröbner fan and the toric Hilbert scheme -- Chapter 4. Dilations and the KMW Theorem -- 4.1. KMW numbers in dimension three -- 4.2. Canonical triangulation of a dilated simplex -- 4.3. Reducing the volume of simplices in the dilation -- 4.4. A proof of the KMW Theorem -- 4.5. An effective version of the KMW-Theorem -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910970826703321 |
Haase Christian
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On nearly triangular matrices / / A.M. Ostrowski
| On nearly triangular matrices / / A.M. Ostrowski |
| Autore | Ostrowski A. M |
| Pubbl/distr/stampa | Gaithersburg, MD : , : U.S. Dept. of Commerce, National Institute of Standards and Technology, , 1952 |
| Descrizione fisica | 1 online resource |
| Altri autori (Persone) | OstrowskiA. M |
| Collana | NBS report |
| Soggetto topico |
Matrices
Triangularization (Mathematics) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910711146003321 |
|
Ostrowski A. M
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| Gaithersburg, MD : , : U.S. Dept. of Commerce, National Institute of Standards and Technology, , 1952 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Triangulations of oriented matroids / / Francisco Santos
| Triangulations of oriented matroids / / Francisco Santos |
| Autore | Santos Francisco <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (95 p.) |
| Disciplina |
510 s
511/.6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Oriented matroids
Polytopes Triangularization (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0334-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries on Oriented Matroids""; ""1.1. Convexity""; ""1.2. Extensions. Lexicographic extensions""; ""1.3. Euclideanness""; ""Chapter 2. Triangulations of Oriented Matroids""; ""2.1. Definition, characterizations and remarks""; ""2.2. Equivalence of the different characterizations""; ""2.3. Some properties of triangulations""; ""2.4. Topology of triangulations""; ""Chapter 3. Duality between Triangulations and Extensions""; ""3.1. Circuit, cocircuit, extension and triangulation vectors""
""3.2. The affine span of characteristic vectors of triangulations""""3.3. Mutations versus geometric bistellar flips""; ""Chapter 4. Subdivisions of Lawrence Polytopes""; ""4.1. Lifting subdivisions. Subdivisions""; ""4.2. Lawrence polytopes only have lifting subdivisions""; ""4.3. The extension space conjecture and the Baues problem""; ""4.4. A reoriented Lawrence construction""; ""Chapter 5. Lifting Triangulations""; ""5.1. Some properties. Lifting versus regular triangulations""; ""5.2. Three interesting non-lifting triangulations""; ""5.3. Two characterizations of lifting subdivisions"" ""Bibliography"" |
| Record Nr. | UNINA-9910480521903321 |
|
Santos Francisco <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Triangulations of oriented matroids / / Francisco Santos
| Triangulations of oriented matroids / / Francisco Santos |
| Autore | Santos Francisco <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (95 p.) |
| Disciplina |
510 s
511/.6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Oriented matroids
Polytopes Triangularization (Mathematics) |
| ISBN | 1-4704-0334-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries on Oriented Matroids""; ""1.1. Convexity""; ""1.2. Extensions. Lexicographic extensions""; ""1.3. Euclideanness""; ""Chapter 2. Triangulations of Oriented Matroids""; ""2.1. Definition, characterizations and remarks""; ""2.2. Equivalence of the different characterizations""; ""2.3. Some properties of triangulations""; ""2.4. Topology of triangulations""; ""Chapter 3. Duality between Triangulations and Extensions""; ""3.1. Circuit, cocircuit, extension and triangulation vectors""
""3.2. The affine span of characteristic vectors of triangulations""""3.3. Mutations versus geometric bistellar flips""; ""Chapter 4. Subdivisions of Lawrence Polytopes""; ""4.1. Lifting subdivisions. Subdivisions""; ""4.2. Lawrence polytopes only have lifting subdivisions""; ""4.3. The extension space conjecture and the Baues problem""; ""4.4. A reoriented Lawrence construction""; ""Chapter 5. Lifting Triangulations""; ""5.1. Some properties. Lifting versus regular triangulations""; ""5.2. Three interesting non-lifting triangulations""; ""5.3. Two characterizations of lifting subdivisions"" ""Bibliography"" |
| Record Nr. | UNINA-9910788846003321 |
|
Santos Francisco <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Triangulations of oriented matroids / / Francisco Santos
| Triangulations of oriented matroids / / Francisco Santos |
| Autore | Santos Francisco <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (95 p.) |
| Disciplina |
510 s
511/.6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Oriented matroids
Polytopes Triangularization (Mathematics) |
| ISBN | 1-4704-0334-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries on Oriented Matroids""; ""1.1. Convexity""; ""1.2. Extensions. Lexicographic extensions""; ""1.3. Euclideanness""; ""Chapter 2. Triangulations of Oriented Matroids""; ""2.1. Definition, characterizations and remarks""; ""2.2. Equivalence of the different characterizations""; ""2.3. Some properties of triangulations""; ""2.4. Topology of triangulations""; ""Chapter 3. Duality between Triangulations and Extensions""; ""3.1. Circuit, cocircuit, extension and triangulation vectors""
""3.2. The affine span of characteristic vectors of triangulations""""3.3. Mutations versus geometric bistellar flips""; ""Chapter 4. Subdivisions of Lawrence Polytopes""; ""4.1. Lifting subdivisions. Subdivisions""; ""4.2. Lawrence polytopes only have lifting subdivisions""; ""4.3. The extension space conjecture and the Baues problem""; ""4.4. A reoriented Lawrence construction""; ""Chapter 5. Lifting Triangulations""; ""5.1. Some properties. Lifting versus regular triangulations""; ""5.2. Three interesting non-lifting triangulations""; ""5.3. Two characterizations of lifting subdivisions"" ""Bibliography"" |
| Record Nr. | UNINA-9910813656203321 |
|
Santos Francisco <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
