Catlin's boundary systems for sums of squares domains
Peer reviewed, Journal article
Published version
Date
2023Metadata
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- Institutt for matematiske fag [2486]
- Publikasjoner fra CRIStin - NTNU [38484]
Original version
Journal of Mathematical Analysis and Applications. 2023, 531 (1), 1-19. 10.1016/j.jmaa.2023.127772Abstract
For any given sum of squares domain in Cn , we reduce the complexity in Catlin's multitype techniques by giving a complete normalization of the geometry. Using this normalization result, we present a more elementary proof of the equality of the Catlin multitype and the commutator multitype for such domains when both invariants are finite. Finally, we reformulate algebraically Catlin's machinery for the commutator multitype computation at the origin for any given sum of squares domain in .