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" Points and curves in the Monster tower / "
Richard Montgomery, Michail Zhitomirskii.
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BL
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| Record Number
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587160
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| Doc. No
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b416379
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| Main Entry
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Montgomery, R., (Richard),1956-
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| Title & Author
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Points and curves in the Monster tower /\ Richard Montgomery, Michail Zhitomirskii.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, 2010.
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| Series Statement
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Memoirs of the American Mathematical Society,; no. 956
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| Page. NO
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ix, 137 p. ;; 26 cm.
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| ISBN
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9780821848180 (alk. paper)
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: 0821848186 (alk. paper)
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| Notes
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"Volume 203, number 956 (end of volume)."
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| Bibliographies/Indexes
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Includes bibliographical references (p. 135-136) and index.
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| Contents
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Introduction -- Prolongations of integral curves. Regular, vertical, and critical curves and points -- RVT classes. RVT codes of plane curves. RVT and Puiseux -- Monsterization and legendrization. Reduction theorems -- Reduction algorithm. Examples of classification results -- Determination of simple points -- Local coordinate systems on the Monster -- Prolongations and directional blow-up. Proof of Theorems A and B -- Open questions -- Appendix A. Classification of integral Engel curves -- Appendix B. Contact classification of Legendrian curves -- Appendix C. Critical, singular and rigid curves.
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| Subject
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Jet bundles (Mathematics)
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Blowing up (Algebraic geometry)
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Pfaffian systems.
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Singularities (Mathematics)
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| Dewey Classification
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516.3/6
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| LC Classification
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QA3.A57 no.956
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QA3.A57 no.956
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| Added Entry
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Zhitomirskiĭ, Mikhail.
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