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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-9911107927203321 |
Haase Christian
|
||
| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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-9911148196403321 |
| Haase Christian | ||
| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||