Zobrazeno 1 - 10
of 101
pro vyhledávání: '"32H20"'
Autor:
Almeida, Igor, Gusevskii, Nikolay
In this work, we describe the moduli of triples of points in quaternionic projective space which define uniquely the congruence classes of such triples relative to the action of the isometry group of quaternionic hyperbolic space ${\rm H}^n_{\mathbb{
Externí odkaz:
http://arxiv.org/abs/2301.00745
Autor:
Van Tan, Tran
In [Israel J. Math, 2014], Grahl and Nevo obtained a significant improvement for the well-known normality criterion of Montel. They proved that for a family of meromorphic functions $\mathcal F$ in a domain $D\subset \mathbb C,$ and for a positive co
Externí odkaz:
http://arxiv.org/abs/2009.02697
Autor:
Janardhanan, Jaikrishnan
We prove a version of the Schwarz lemma for holomorphic mappings from the unit disk into the symmetric product of a Riemann surface. Our proof is function-theoretic and self-contained. The main novelty in our proof is the use of the pluricomplex Gree
Externí odkaz:
http://arxiv.org/abs/1812.10337
Autor:
Cao, Wensheng
Let $\mathcal{M}(n,m;\F \bp^n)$ be the configuration space of $m$-tuples of pairwise distinct points in $\F \bp^n$, that is, the quotient of the set of $m$-tuples of pairwise distinct points in $\F \bp^n$ with respect to the diagonal action of ${\rm
Externí odkaz:
http://arxiv.org/abs/1705.06458
We prove that the space of dominant/non-constant holomorphic mappings from a product of hyperbolic Riemann surfaces of finite type into certain hyperbolic manifolds with universal cover a bounded domain is a finite set.
Externí odkaz:
http://arxiv.org/abs/1701.05692
Autor:
Cunha, Heleno, Gusevskii, Nikolay
We show that if $\Gamma$ is an irreducible subgroup of ${\rm SU}(2,1)$, then $\Gamma$ contains a loxodromic element $A$. If $A$ has eigenvalues $\lambda_1 = \lambda e^{i\varphi},$ $\lambda_2 = e^{-2i\varphi}$, $\lambda_3 = \lambda^{-1}e^{i\varphi}$,
Externí odkaz:
http://arxiv.org/abs/1303.1701
Autor:
Diverio, Simone, Trapani, Stefano
We show that for every smooth generic projective hypersurface $X\subset\mathbb P^{n+1}$, there exists a proper subvariety $Y\subsetneq X$ such that $\operatorname{codim}_X Y\ge 2$ and for every non constant holomorphic entire map $f\colon\mathbb C\to
Externí odkaz:
http://arxiv.org/abs/0902.3741
Autor:
Cunha, Heleno, Gusevskii, Nikolay
We consider the space $\mathcal M$ of ordered quadruples of distinct points in the boundary of complex hyperbolic $n$-space, $\ch{n},$ up to its holomorphic isometry group ${\rm PU}(n,1).$ One of the important problems in complex hyperbolic geometry
Externí odkaz:
http://arxiv.org/abs/0812.2159
We study the dynamics of Blaschke products in two dimensions, particularly the rates of growth of the degrees of iterates and the corresponding implications for the ergodic properties of the map.
Comment: Revised version: now contains computatio
Comment: Revised version: now contains computatio
Externí odkaz:
http://arxiv.org/abs/0809.2340
Autor:
Xiao, Jie
This note completely describes the bounded or compact Riemann-Stieltjes integral operators $T_g$ acting between the weighted Bergman space pairs $(A^p_\alpha,A^q_\beta)$ in terms of particular regularities of the holomorphic symbols $g$ on the open u
Externí odkaz:
http://arxiv.org/abs/math/0610107