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Title:Singularities and multiplier algorithms for real hypersurfaces
Author(s):Fassina, Martino
Director of Research:D'Angelo, John
Doctoral Committee Chair(s):Tumanov, Alexander
Doctoral Committee Member(s):Dodd, Christopher; La Nave, Gabriele
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(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.
Issue Date:2020-04-22
Type:Thesis
URI:http://hdl.handle.net/2142/107886
Rights Information:Copyright 2020 Martino Fassina
Date Available in IDEALS:2020-08-26
Date Deposited:2020-05


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