Singularities and multiplier algorithms for real hypersurfaces
Fassina, Martino
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https://hdl.handle.net/2142/107886
Description
Title
Singularities and multiplier algorithms for real hypersurfaces
Author(s)
Fassina, Martino
Issue Date
2020-04-22
Director of Research (if dissertation) or Advisor (if thesis)
D'Angelo, John
Doctoral Committee Chair(s)
Tumanov, Alexander
Committee Member(s)
Dodd, Christopher
La Nave, Gabriele
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Real hypersurfaces, subelliptic multipliers
Abstract
We consider Kohn’s method to generate subelliptic multipliers for the ∂¯-Neumann problem. For a domain defined by a real polynomial, we prove that Kohn’s algorithm is effective in terms of the degree. We then give geometric conditions under which effectiveness results in the holomorphic setting extend to the real analytic setting. We discuss related questions on the boundary geometry at Levi degenerate points.
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