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Computational geometry of positive definite quadratic forms : polyhedral reduction theories, algorithms, and applications / Achill Schurmann
| Computational geometry of positive definite quadratic forms : polyhedral reduction theories, algorithms, and applications / Achill Schurmann |
| Autore | Schurmann, Achill |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2009 |
| Descrizione fisica | xv, 162 p. : ill. ; 26 cm |
| Disciplina | 512.74 |
| Collana | University lecture series, 1047-3998 ; 48 |
| Soggetto topico |
Forms, Quadratic
Polyhedral functions Discrete geometry |
| ISBN | 9780821847350 |
| Classificazione |
AMS 11-02
AMS 11H AMS 52-02 AMS 52B AMS 52C LC QA243.S39 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001835949707536 |
Schurmann, Achill
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| Providence, R. I. : American Mathematical Society, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Integer points in polyhedra / Alexander Barvinok
| Integer points in polyhedra / Alexander Barvinok |
| Autore | Barvinok, Alexander |
| Pubbl/distr/stampa | Zurich : European Mathematical Society, 2008 |
| Descrizione fisica | viii, 189 p. : ill. ; 24 cm |
| Disciplina | 511.33 |
| Collana | Zurich lectures in advanced mathematics |
| Soggetto topico |
Polyhedral functions
Lattice theory Polynomials |
| ISBN |
9783037190524
3037190523 |
| Classificazione |
AMS 52C07
AMS 52B20 AMS 05A15 LC QA171.5.B38 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The algebra of polyhedra ; Linear transformations and polyhedra ; The structure of polyhedra ; Polarity ; Tangent cones : decompositions modulo polyhedra with lines ; Open polyhedra ; The exponential valuation ; Computing volumes ; Lattices, bases, and parallelepipeds ; The Minkowski convex body theorem ; Reduced basis ; Exponential sums and generating functions ; Totally unimodular polytopes ; Decomposing a 2-dimensional cone into unimodular cones via continued fractions ; Decomposing a rational cone of an arbitrary dimension into unimodular cones ; Efficient counting of integer points in rational polytopes ; The polynomial behavior of the number of integer points in polytopes ; A valuation on rational cones ; A "local" formula for the number of integer points in a polytope |
| Record Nr. | UNISALENTO-991000330819707536 |
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Barvinok, Alexander
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| Zurich : European Mathematical Society, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah / / Alexander Barvinok [and four others], editors
| Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah / / Alexander Barvinok [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (210 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Lattice theory
Polyhedral functions Convex sets Number theory Polynomials |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7964-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""The Cayley trick and triangulations of products of simplices""""Problems from the Cottonwood Room""; ""Questions about Ehrhart coefficients.""; ""A conjecture about the Euler characteristic of algebraic varieties over the fields Fq, R, C and the division ring H.""; ""Lattice points in homogeneously expanding compact domains.""; ""Reflexive polytopes in dimension 2 and 3, and the numbers 12 and 24.""; ""Are smooth toric ideals quadratically generated?""; ""The classification of 1-point lattice tetrahedra.""; ""A conjecture on lattice tiles.""; ""Covering minima, free planes and deep holes"" |
| Record Nr. | UNINA-9910480110103321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah / / Alexander Barvinok [and four others], editors
| Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah / / Alexander Barvinok [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (210 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Lattice theory
Polyhedral functions Convex sets Number theory Polynomials |
| ISBN | 0-8218-7964-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""The Cayley trick and triangulations of products of simplices""""Problems from the Cottonwood Room""; ""Questions about Ehrhart coefficients.""; ""A conjecture about the Euler characteristic of algebraic varieties over the fields Fq, R, C and the division ring H.""; ""Lattice points in homogeneously expanding compact domains.""; ""Reflexive polytopes in dimension 2 and 3, and the numbers 12 and 24.""; ""Are smooth toric ideals quadratically generated?""; ""The classification of 1-point lattice tetrahedra.""; ""A conjecture on lattice tiles.""; ""Covering minima, free planes and deep holes"" |
| Record Nr. | UNINA-9910788659203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah / / Alexander Barvinok [and four others], editors
| Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah / / Alexander Barvinok [and four others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (210 p.) |
| Disciplina | 516.3/5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Lattice theory
Polyhedral functions Convex sets Number theory Polynomials |
| ISBN | 0-8218-7964-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""The Cayley trick and triangulations of products of simplices""""Problems from the Cottonwood Room""; ""Questions about Ehrhart coefficients.""; ""A conjecture about the Euler characteristic of algebraic varieties over the fields Fq, R, C and the division ring H.""; ""Lattice points in homogeneously expanding compact domains.""; ""Reflexive polytopes in dimension 2 and 3, and the numbers 12 and 24.""; ""Are smooth toric ideals quadratically generated?""; ""The classification of 1-point lattice tetrahedra.""; ""A conjecture on lattice tiles.""; ""Covering minima, free planes and deep holes"" |
| Record Nr. | UNINA-9910821327603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Integer points in polyhedra--geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah / Alexander Barvinok ... [et al.] editors
| Integer points in polyhedra--geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah / Alexander Barvinok ... [et al.] editors |
| Autore | AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, Geometry, Number Theory, Algebra, Optimization <2003 ; Snowbird, Utah> |
| Pubbl/distr/stampa | Providence, R.I. : American Mathematical Society, c2005 |
| Descrizione fisica | xi, 191 p. : ill. ; 26 cm |
| Disciplina | 516.35 |
| Altri autori (Persone) | Barvinok, Alexanderauthor |
| Collana | Contemporary mathematics, 0271-4132 ; 374 |
| Soggetto topico |
Lattice theory
Polyhedral functions Convex sets Number theory Polynomials |
| ISBN | 0821834592 |
| Classificazione |
LC QA171.5.A47
AMS 52B20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001155839707536 |
Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin
| Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin |
| Autore | Youssin Boris <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (109 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polyhedral functions
Filters (Mathematics) Rings (Algebra) Ideals (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0856-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""NEWTON POLYHEDRA WITHOUT COORDINATES""; ""1. Introduction""; ""Chapter 1. Integrally closed filtrations""; ""2. Definition and examples""; ""3. The language of integrally closed subalgebras""; ""4. Generators of a filtration""; ""5. Join and suspension""; ""6. Normal crossing rings and monomials""; ""7. Special filtrations and the Main Theorem""; ""Chapter 2. Contact and stably contact filtrations""; ""8. Initial forms and transversality to the normal crossing divisor""; ""9. Contact filtrations and their structure""; ""10. Galois extensions""
""21. Some unsolved problems""""Appendices""; ""A1. Weights of a quasihomogeneous filtration are independent of the coordinate system""; ""A2. Criterion for integral closedness""; ""A3. The structure of suspension""; ""A4. Multiplication and division by monomials: Proof of the structure theorem""; ""A5. Suspension of a stably contact filtration is stably contact: Proof of (11.5)""; ""References""; ""NEWTON POLYHEDRA OF IDEALS""; ""1. Introduction""; ""2. Standard bases and the main result""; ""3. Differential operators and principal parts""; ""4. Generalized Fitting ideals"" ""5. Heuristics""""6. Generic position""; ""7. Fitting ideals and filtrations generated by standard bases""; ""8. Normalized standard bases""; ""9. Proof of the Main Theorem 2.7""; ""Appendix. Sketch of another proof""; ""References"" |
| Record Nr. | UNINA-9910480463303321 |
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Youssin Boris <1959->
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| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin
| Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin |
| Autore | Youssin Boris <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (109 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polyhedral functions
Filters (Mathematics) Rings (Algebra) Ideals (Algebra) |
| ISBN | 1-4704-0856-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""NEWTON POLYHEDRA WITHOUT COORDINATES""; ""1. Introduction""; ""Chapter 1. Integrally closed filtrations""; ""2. Definition and examples""; ""3. The language of integrally closed subalgebras""; ""4. Generators of a filtration""; ""5. Join and suspension""; ""6. Normal crossing rings and monomials""; ""7. Special filtrations and the Main Theorem""; ""Chapter 2. Contact and stably contact filtrations""; ""8. Initial forms and transversality to the normal crossing divisor""; ""9. Contact filtrations and their structure""; ""10. Galois extensions""
""21. Some unsolved problems""""Appendices""; ""A1. Weights of a quasihomogeneous filtration are independent of the coordinate system""; ""A2. Criterion for integral closedness""; ""A3. The structure of suspension""; ""A4. Multiplication and division by monomials: Proof of the structure theorem""; ""A5. Suspension of a stably contact filtration is stably contact: Proof of (11.5)""; ""References""; ""NEWTON POLYHEDRA OF IDEALS""; ""1. Introduction""; ""2. Standard bases and the main result""; ""3. Differential operators and principal parts""; ""4. Generalized Fitting ideals"" ""5. Heuristics""""6. Generic position""; ""7. Fitting ideals and filtrations generated by standard bases""; ""8. Normalized standard bases""; ""9. Proof of the Main Theorem 2.7""; ""Appendix. Sketch of another proof""; ""References"" |
| Record Nr. | UNINA-9910788874503321 |
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Youssin Boris <1959->
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||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin
| Newton polyhedra without coordinates : Newton polyhedra of ideals / / Boris Youssin |
| Autore | Youssin Boris <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (109 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polyhedral functions
Filters (Mathematics) Rings (Algebra) Ideals (Algebra) |
| ISBN | 1-4704-0856-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""CONTENTS""; ""NEWTON POLYHEDRA WITHOUT COORDINATES""; ""1. Introduction""; ""Chapter 1. Integrally closed filtrations""; ""2. Definition and examples""; ""3. The language of integrally closed subalgebras""; ""4. Generators of a filtration""; ""5. Join and suspension""; ""6. Normal crossing rings and monomials""; ""7. Special filtrations and the Main Theorem""; ""Chapter 2. Contact and stably contact filtrations""; ""8. Initial forms and transversality to the normal crossing divisor""; ""9. Contact filtrations and their structure""; ""10. Galois extensions""
""21. Some unsolved problems""""Appendices""; ""A1. Weights of a quasihomogeneous filtration are independent of the coordinate system""; ""A2. Criterion for integral closedness""; ""A3. The structure of suspension""; ""A4. Multiplication and division by monomials: Proof of the structure theorem""; ""A5. Suspension of a stably contact filtration is stably contact: Proof of (11.5)""; ""References""; ""NEWTON POLYHEDRA OF IDEALS""; ""1. Introduction""; ""2. Standard bases and the main result""; ""3. Differential operators and principal parts""; ""4. Generalized Fitting ideals"" ""5. Heuristics""""6. Generic position""; ""7. Fitting ideals and filtrations generated by standard bases""; ""8. Normalized standard bases""; ""9. Proof of the Main Theorem 2.7""; ""Appendix. Sketch of another proof""; ""References"" |
| Record Nr. | UNINA-9910828759803321 |
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Youssin Boris <1959->
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| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Polyhedral methods in geosciences / / Daniele Antonio Di Pietro, Luca Formaggia, Roland Masson, editors
| Polyhedral methods in geosciences / / Daniele Antonio Di Pietro, Luca Formaggia, Roland Masson, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (342 pages) |
| Disciplina | 515.983 |
| Collana | SEMA SIMAI Springer Series |
| Soggetto topico |
Polyhedral functions
Discretization (Mathematics) Earth sciences - Mathematics Ciències de la Terra Matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-69363-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910485599903321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Polyhedral functions
(12)
- Lattice theory (5)
- Polynomials (5)
- Convex sets (4)
- Number theory (4)