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q-effectiveness for holomorphic subelliptic multipliers

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Title
q-effectiveness for holomorphic subelliptic multipliers
Author(s)
Sung-Yeon Kim; Zaitsev, Dmitri
Publication Date
2022-05
Journal
Pure and Applied Mathematics Quarterly, v.18, no.2, pp.617 - 637
Publisher
International Press, Inc.
Abstract
We provide a solution to the effectiveness problem in Kohn’s algorithm for generating holomorphic subelliptic multipliers for (0, q) forms for arbitrary q. As application, we obtain subel-liptic estimates for (0, q) forms with effectively controlled order ε > 0 (the Sobolev exponent) for domains given by sums of squares of holomorphic functions (J.J. Kohn called them “special domains” in [K79]). These domains are of particular interest due to their re-lation with complex and algebraic geometry. Our methods include triangular resolutions introduced by the authors in [KZ20].
URI
https://pr.ibs.re.kr/handle/8788114/12306
DOI
10.4310/PAMQ.2022.v18.n2.a12
ISSN
1558-8599
Appears in Collections:
Center for Complex Geometry (복소기하학 연구단) > 1. Journal Papers (저널논문)
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