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

collaborators

Showing 2018Show all

4 papers · 1 filter

math.CV2018

Zero CR-curvature equations for Levi degenerate hypersurfaces via Pocchiola's invariants

Alexander Isaev

In our earlier articles we studied tube hypersurfaces in $C^{3}$ that are 2-nondegenerate and uniformly Levi degenerate of rank 1. In particular, we showed that the vanishi…

math.AG2018

Associated form morphism

Maksym Fedorchuk, Alexander Isaev

We study the geometry of the morphism between moduli spaces of hypersurfaces in $P^{n - 1}$ that sends a smooth hypersurface of degree $d + 1$ to its associated hypersurface of…

math.DG2018

Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

Alexander Isaev

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n \geq 4$ whose group of holomorphic automorphisms has dimension either $n^{2} - 4$ , or $n^{2} - 5$ , or $n…

math.CV2018

Associated forms: current progress and open problems

A. V. Isaev

Let $d \geq 3$ , $n \geq 2$ . The object of our study is the morphism $Φ$ , introduced in earlier articles by J. Alper, M. Eastwood and the author, that assigns to every homogeneous form…