TY - JOUR AU - Kolř, Martin AB - We introduce an alternative approach to a fundamental CR invariantthe Catlin multitype. It is applied to a general smooth hypersurface in n1, not necessarily pseudoconvex. Using this approach, we prove biholomorphic equivalence of models and give an explicit description of biholomorphisms between different models. A constructive finite algorithm for computing the multitype is described. The results can be viewed as providing a necessary step in understanding local biholomorphic equivalence of Levi degenerate hypersurfaces in n1. TI - The Catlin Multitype and Biholomorphic Equivalence of Models JO - International Mathematics Research Notices DO - 10.1093/imrn/rnq013 DA - 2010-02-15 UR - https://www.deepdyve.com/lp/oxford-university-press/the-catlin-multitype-and-biholomorphic-equivalence-of-models-9eDujBGDdc SP - 3530 EP - 3548 VL - 2010 IS - 18 DP - DeepDyve ER -