TY  - BOOK
AU  - Montgomery,R.
AU  - Zhitomirski�i,Mikhail
TI  - Points and curves in the Monster tower
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470405700 (online)
AV  - QA614 .M646 2010
U1  - 516.3/6 22
PY  - 2010///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Jet bundles (Mathematics)
KW  - Blowing up (Algebraic geometry)
KW  - Pfaffian systems
KW  - Singularities (Mathematics)
N1  - "Volume 203, number 956 (end of volume)."; Includes bibliographical references (p. 135-136) and index; Preface; Chapter 1. Introduction; Chapter 2. Prolongations of integral curves. Regular, vertical, and critical curves and points; Chapter 3. RVT classes. RVT codes of plane curves. RVT and Puiseux; Chapter 4. Monsterization and Legendrization. Reduction theorems; Chapter 5. Reduction algorithm. Examples of classification results; Chapter 6. Determination of simple points; Chapter 7. Local coordinate systems on the Monster; Chapter 8. Prolongations and directional blow-up. Proof of Theorems A and B; Chapter 9. Open questions; Appendix A. Classification of integral Engel curves; Appendix B. Contact classification of Legendrian curves; Appendix C. Critical, singular and rigid curves; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0956
UR  - http://dx.doi.org/10.1090/S0065-9266-09-00598-5
ER  -