Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Pinchuk, Sergey"'
This expository paper is concerned with the properties of proper holomorphic mappings between domains in complex affine spaces. We discuss some of the main geometric methods of this theory, such as the Reflection Principle, the scaling method, and th
Externí odkaz:
http://arxiv.org/abs/1703.07243
It is proved that dicritical singularities of real analytic Levi-flat sets coincide with the set of Segre degenerate points.
Comment: arXiv admin note: text overlap with arXiv:1606.02140
Comment: arXiv admin note: text overlap with arXiv:1606.02140
Externí odkaz:
http://arxiv.org/abs/1606.09294
We establish an effective criterion for a dicritical singularity of a real analytic Levi-flat hypersurface. The criterion is stated in terms of the Segre varieties. As an application, we obtain a structure theorem for some class of currents in the no
Externí odkaz:
http://arxiv.org/abs/1606.02140
Autor:
Pinchuk, Sergey, Shafikov, Rasul
It is shown that if a proper holomorphic map $f: \mathbb C^n \to \mathbb C^N$, $1
Externí odkaz:
http://arxiv.org/abs/1402.0414
Autor:
Pinchuk, Sergey, Sukhov, Alexandre
Publikováno v:
Proc. Steklov Inst. Math. 253 (2006), 246-255
We study the holomorphic extendability of smooth CR maps between real analytic strictly pseudoconvex hypersurfaces in complex affine spaces of different dimensions.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/math/0610065
If $X$ is an almost complex manifold, with an almost complex structure $J$ of class $\CC^\alpha$, for some $\alpha >0$, for every point $p\in X$ and every tangent vector $V$ at $p$, there exists a germ of $J$-holomorphic disc through $p$ with this pr
Externí odkaz:
http://arxiv.org/abs/math/0402331
Autor:
Pinchuk, Sergey, Verma, Kaushal
Publikováno v:
Proceedings of the American Mathematical Society, 2001 Sep 01. 129(9), 2623-2632.
Externí odkaz:
https://www.jstor.org/stable/2668786
Autor:
Bedford, Eric, Pinchuk, Sergey
No abstract available.
Externí odkaz:
http://arxiv.org/abs/math/9203201
Autor:
PINCHUK, SERGEY, SHAFIKOV, RASUL
Publikováno v:
Proceedings of the American Mathematical Society, 2015 Oct 01. 143(10), 4335-4345.
Externí odkaz:
http://www.jstor.org/stable/24507853