38 citations · 74 across the 16 of their papers we have counts for
4 papers · 2 filters
Basins of attraction of automorphisms in C^3
Berit Stensønes, Liz Vivas
In this paper we shall give examples of maps and automorphisms with regions of attraction that are not simply connected.
Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics
Dusty Grundmeier, Jiri Lebl, Liz Vivas
Using Green's hyperplane restriction theorem, we prove that the rank of a Hermitian form on the space of holomorphic polynomials is bounded by a constant depending only on the maxi…
Degenerate characteristic directions for maps tangent to the Identity
Liz Vivas
Let F be a germ of (C^2,O) tangent to the identity. Assume F has a characteristic direction [v]. In [Hak] Hakim gives conditions to guarantee the existence of an attracting basin t…
Geodesics in the space of Kähler metrics
László Lempert, Liz Vivas
Let (X,ω) be a compact Kähler manifold. As discovered in the late 1980s by Mabuchi, the set H_0 of Kähler forms cohomologous to ωhas the natural structure of an infinite dimensiona…