A. Isaev

activity

19982019

most citedOn the Affine Homogeneity of Algebraic Hypersurfaces Arising from Gorenstein Algebras

2 citations · 10 across the 20 of their papers we have counts for

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Showing 2017Show all

4 papers · 1 filter

math.CV2017

On necessary and sufficient conditions for the Kobayashi hyperbolicity of tube domains in $C^{2}$

Alexander Isaev

This note concerns tube domains in $C^{2}$ with the envelope of holomorphy not equal to the entire space. We construct examples showing that for such domains the sufficient…

math.CV2017

Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

Alexander Isaev

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n \geq 2$ whose holomorphic automorphism group has dimension $n^{2} - 3$ . This result complements exis…

math.CV2017

Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms

Alexander Isaev

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n \geq 2$ whose holomorphic automorphism group has dimension $n^{2} - 2$ . This result complements an e…

math.AG2017

A combinatorial proof of the smoothness of catalecticant schemes associated to complete intersections

Alexander Isaev

For zero-dimensional complete intersections with homogeneous ideal generators of equal degrees over an algebraically closed field of characteristic zero, we give a combinatorial pr…

On necessary and sufficient conditions for the Kobayashi hyperbolicity of tube domains in C2

Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms

A combinatorial proof of the smoothness of catalecticant schemes associated to complete intersections

On necessary and sufficient conditions for the Kobayashi hyperbolicity of tube domains in $C^{2}$