Tabla de Contenidos:
  • 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.