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[null,"1.","Record Nr.",null,"UNINA9910827647103321"]
[null,null,"Autore",null,"Montgomery R (Richard), <1956->"]
[null,null,"Titolo",null,"Points and curves in the Monster tower / / Richard Montgomery, Michail Zhitomirskii"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2009"]
[{"$nulls":4},"©2009"]
[null,null,"ISBN",null,"1-4704-0570-9"]
[null,null,"Descrizione fisica",null,"1 online resource (137 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 203, Number 956"]
[null,null,"Classificazione",null,"SI 130"]
[null,null,"Disciplina",null,"516.3/6"]
[null,null,"Soggetti",null,"Jet bundles (Mathematics)"]
[{"$nulls":4},"Blowing up (Algebraic geometry)"]
[{"$nulls":4},"Pfaffian systems"]
[{"$nulls":4},"Singularities (Mathematics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 203, Number 956 (end of volume).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Abstract\"\"; \"\"Preface\"\"; \"\"Chapter 1. Introduction\"\"; \"\"1.1. The Monster construction\"\"; \"\"1.2. Coordinates and the contact case\"\"; \"\"1.3. Symmetries. Equivalence of points of the Monster\"\"; \"\"1.4. Prolonging symmetries\"\"; \"\"1.5. The basic theorem\"\"; \"\"1.6. The Monster and Goursat distributions\"\"; \"\"1.7. Our approach\"\"; \"\"1.8. Proof of the basic theorem\"\"; \"\"1.9. Plan of the paper\"\"; \"\"Acknowledgements\"\"; \"\"Chapter 2. Prolongations of integral curves.  Regular, vertical, and critical curves and points \"\"; \"\"2.1. From Monster curves to Legendrian curves\"\""]
[{"$nulls":4},"\"\"2.2. Prolonging curves\"\"\"\"2.3. Projections and prolongations of local symmetries\"\"; \"\"2.4. Proof of Theorem 2.2\"\"; \"\"2.5. From curves to points\"\"; \"\"2.6. Non-singular points\"\"; \"\"2.7. Critical curves\"\"; \"\"2.8. Critical and regular directions and points\"\"; \"\"2.9. Regular integral curves\"\"; \"\"2.10. Regularization theorem\"\"; \"\"2.11. An equivalent definition of a non-singular point\"\"; \"\"2.12. Vertical and tangency directions and points\"\"; \"\"Chapter 3. RVT classes. RVT codes of plane curves.  RVT and Puiseux\"\"; \"\"3.1. Definition of RVT classes\"\""]
[{"$nulls":4},"\"\"3.2. Two more definitions of a non-singular point\"\"\"\"3.3. Types of RVT classes. Regular and entirely critical prolongations\"\"; \"\"3.4. Classification problem: reduction to regular RVT classes\"\"; \"\"3.5. RVT classes as subsets of PkR2 \"\"; \"\"3.6. Why tangency points?\"\"; \"\"3.7. RVT "]
[{"$nulls":4},"code of plane curves\"\"; \"\"3.8. RVT code and Puiseux characteristic\"\"; \"\"Chapter 4. Monsterization and Legendrization.  Reduction theorems\"\"; \"\"4.1. Definitions and basic properties\"\"; \"\"4.2. Explicit calculation of the legendrization of RVT classes\"\"; \"\"4.3. From points to Legendrian curves\"\""]
[{"$nulls":4},"\"\"4.4. Simplest classification results\"\"\"\"4.5. On the implications and shortfalls of Theorems 4.14 and 4.15\"\"; \"\"4.6. From points to Legendrian curve jets.  The jet-identification number \"\"; \"\"4.7. The parameterization number\"\"; \"\"4.8. Evaluating the jet-identification number\"\"; \"\"4.9. Proof of Proposition 4.44\"\"; \"\"4.10. From Theorem B to Theorem 4.40\"\"; \"\"4.11. Proof that critical points do not have a jet-identification number\"\"; \"\"4.12. Proof of Proposition 4.26\"\"; \"\"4.13. Conclusions. Things to come\"\"; \"\"Chapter 5. Reduction algorithm.  Examples of classification results\"\""]
[{"$nulls":4},"\"\"5.1. Algorithm for calculating the Legendrization  and the parameterization number\"\"\"\"5.2. Reduction algorithm for the equivalence problem\"\"; \"\"5.3. Reduction algorithm for the classification problem\"\"; \"\"5.4. Classes of small codimension consisting of a finite number of orbits\"\"; \"\"5.5. Classification of tower-simple points\"\"; \"\"5.6. Classes of high codimension consisting of one or two orbits\"\"; \"\"5.7. Further examples of classification results;  Moduli\"\"; \"\"Chapter 6. Determination of simple points\"\"; \"\"6.1. Tower-simple and stage-simple points\"\"; \"\"6.2. Determination theorems\"\""]
[{"$nulls":4},"\"\"6.3. Explicit description of stage-simple RVT classes\"\""]