On the third gap for proper holomorphic maps between balls
X Huang, S Ji, W Yin - Mathematische Annalen, 2014 - Springer
Let FF be a proper rational map from the complex ball\mathbb B^ n B n into\mathbb B^ N BN
with n> 7 n> 7 and 3 n+ 1 ≤ N ≤ 4n-7 3 n+ 1≤ N≤ 4 n-7. Then FF is equivalent to a map …
with n> 7 n> 7 and 3 n+ 1 ≤ N ≤ 4n-7 3 n+ 1≤ N≤ 4 n-7. Then FF is equivalent to a map …
Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics
J Lebl - Michigan Mathematical Journal, 2011 - projecteuclid.org
The purpose of this paper is to use normal forms of Hermitian operators in the study of CR
maps. We strengthen a useful link between linear algebra and several complex variables …
maps. We strengthen a useful link between linear algebra and several complex variables …
Rational sphere maps
JP D'Angelo - 2021 - Springer
The unit circle S1 in the complex number system C and its self-map**s have played a
major role in the history of mathematics. Below we give many striking examples. The central …
major role in the history of mathematics. Below we give many striking examples. The central …
Proper holomorphic maps between bounded symmetric domains with small rank differences
Signature pairs for group-invariant Hermitian polynomials
D Grundmeier - International Journal of Mathematics, 2011 - World Scientific
We study the signature pair for certain group-invariant Hermitian polynomials arising in CR
geometry. In particular, we determine the signature pair for the finite subgroups of SU (2) …
geometry. In particular, we determine the signature pair for the finite subgroups of SU (2) …
Complexity results for CR map**s between spheres
JP D'ANGELO, J Lebl - International Journal of Mathematics, 2009 - World Scientific
Using elementary number theory, we prove several results about the complexity of CR
map**s between spheres. It is known that CR map**s between spheres, invariant under …
map**s between spheres. It is known that CR map**s between spheres, invariant under …
Polynomials constant on a hyperplane and CR maps of spheres
We prove a sharp degree bound for polynomials constant on a hyperplane with a fixed
number of nonnegative distinct monomials. This bound was conjectured by John P …
number of nonnegative distinct monomials. This bound was conjectured by John P …
On the complexity of proper holomorphic map**s between balls
JP D'Angelo, J Lebl - Complex Variables and Elliptic Equations, 2009 - Taylor & Francis
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Symmetries and regularity for holomorphic maps between balls
JP D'Angelo, M **ao - arxiv preprint arxiv:1711.06539, 2017 - arxiv.org
Let $ f:{\mathbb B}^ n\to {\mathbb B}^ N $ be a holomorphic map. We study subgroups
$\Gamma_f\subseteq {\rm Aut}({\mathbb B}^ n) $ and $ T_f\subseteq {\rm Aut}({\mathbb B} …
$\Gamma_f\subseteq {\rm Aut}({\mathbb B}^ n) $ and $ T_f\subseteq {\rm Aut}({\mathbb B} …