Abstract
CONTENTS § 0. Introduction. Basic results § 1. Terminology, concepts, and notation § 2. The class of a 1-form and a Pfaffian equation § 3. Degeneracies of codimension 1 (the first encountered singularities of 1-forms and odd-dimensional Pfaffian equations) § 4. The first encountered singularities of even-dimensional Pfaffian equations (degeneracies of codimension 3) § 5. Odd-dimensional Pfaffian equations: degeneracies of codimension 3 § 6. Differential 1-forms: degeneracies of codimension ≥2 § 7. Odd-dimensional Pfaffian equations: degeneracies of codimension ≥4 § 8. Even-dimensional Pfaffian equations: degeneracies of codimension ≥4 § 9. Singularities connected with the vanishing of a 1-form § 10. The classification of submanifolds of the contact manifold § 11. The classification of first-order partial differential equations § 12. The classification of linear control systems § 13. Holomorphic classification of 1-forms and Pfaffian equations § 14. Comments References
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