A. Isaev

activity

19982005

most citedTowards a Classification of Homogeneous Tube Domains in C^4

2 citations · 4 across the 7 of their papers we have counts for

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12 papers · 1 filter

math.CV2005★ 1 cited

Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism groups

A. V. Isaev

See math.CV/0509030 which replaces this paper.

math.CV2005

Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^{2} - 1$

A. V. Isaev

We consider complex Kobayashi-hyperbolic manifolds of dimension $n \geq 2$ for which the dimension of the group of holomorphic automorphisms is equal to $n^{2} - 1$ . We give a complete c…

math.CV2005★ 1 cited

Hyperbolic $n$ -dimensional manifolds with automorphism group of dimension $n^{2}$

A. V. Isaev

We obtain a complete classification of complex Kobayashi-hyperbolic manifolds of dimension $n \geq 2$ , for which the dimension of the group of holomorphic automorphisms is equal to $…

math.CV2004★ 2 cited

Towards a Classification of Homogeneous Tube Domains in C^4

Michael Eastwood, Vladimir Ezhov, Alexander Isaev

We classify the tube domains in C^4 with affinely homogeneous base whose boundary contains a non-degenerate affinely homogeneous hypersurface. It follows that these domains are hol…

math.CV2004

Proper holomorphic maps between Reinhardt domains in $C^{2}$

A. V. Isaev, N. G. Kruzhilin

We characterize pairs of bounded Reinhardt domains in $\CC^2$ between which there exists a proper holomorphic map and find all proper maps that are not elementary algebraic.

math.CV2003

On the dimension of the stability group for a Levi non-degenerate hypersurface

Vladimir Ezhov, Alexander Isaev

We classify locally defined non-spherical real-analytic hypersurfaces in complex space whose Levi form has no more than one negative eigenvalue and for which the dimension of the g…

Hyperbolic 2-dimensional manifolds with 3-dimensional automorphism groups

Hyperbolic manifolds of dimension n with automorphism group of dimension n2−1

Hyperbolic n-dimensional manifolds with automorphism group of dimension n2

Towards a Classification of Homogeneous Tube Domains in C^4

Proper holomorphic maps between Reinhardt domains in C2

On the dimension of the stability group for a Levi non-degenerate hypersurface

Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^{2} - 1$

Hyperbolic $n$ -dimensional manifolds with automorphism group of dimension $n^{2}$

Proper holomorphic maps between Reinhardt domains in $C^{2}$