57 citations · 194 across the 44 of their papers we have counts for
49 papers
Q-effectiveness for holomorphic subelliptic multipliers
Dmitri Zaitsev, Sung Yeon Kim
We provide a solution to the effectiveness problem in Kohn's algorithm for generating holomorphic subelliptic multipliers for forms for arbitrary . As an application, we…
Unique jet determination and extension of germs of CR maps into spheres
Nordine Mir, Dmitri Zaitsev
We provide a new way of simultaneously parametrizing arbitrary local CR maps from real-analytic generic manifolds into spheres ${\mathbb S}^{2N'-1}\subset…
Triangular resolutions and effectiveness for holomorphic subelliptic multipliers
Sung-Yeon Kim, Dmitri Zaitsev
A solution to the effectiveness problem in Kohn's algorithm for generating subelliptic multipliers is provided for domains that include those given by sums of squares of holomorphi…
Real-analytic coordinates for smooth strictly pseudoconvex CR-structures
Ilya Kossovskiy, Dmitri Zaitsev
For a smooth strictly pseudoconvex hypersurface in a complex manifold, we give a necessary and sufficient condition for being CR-diffeomorphic to a real-analytic CR manifold. Our c…
Sums of squares in pseudoconvex hypersurfaces and torsion phenomena for Catlin's boundary systems
Alexander Basyrov, Andreea C. Nicoara, Dmitri Zaitsev
Given a pseudoconvex hypersurface in C^n and an arbitrary weight, we show the existence of local coordinates in which the polynomial model contains a particularly simple sum of squ…
A geometric approach to Catlin's boundary systems
Dmitri Zaitsev
For a point in a smooth real hypersurface $M\subset\C^n$, where the Levi form has the nontrivial kernel , we introduce an invariant cubic tensor $τ^3_p \colon \C T_p…