12 citations · 18 across the 7 of their papers we have counts for
5 papers · 1 filter
Random polynomials with prescribed Newton polytope
Bernard Shiffman, Steve Zelditch
We show that the Newton polytope of a polynomial has a strong impact on the distribution of its mass and zeros. The basic theme is that Newton polytopes determine allowed and forbi…
Random polynomials with prescribed Newton polytope, I
Bernard Shiffman, Steve Zelditch
The Newton polytope of a polynomial is well known to have a strong impact on its zeros, as in the Kouchnirenko-Bernstein theorem on the number of simultaneous zeros of $m…
Constructing low degree hyperbolic surfaces in P^3
Bernard Shiffman, Mikhail Zaidenberg
We describe a new method of constructing Kobayashi-hyperbolic surfaces in complex projective 3-space based on deforming surfaces with a "hyperbolic non-percolation" property. We us…
Hyperbolic hypersurfaces in P^n of Fermat-Waring type
Bernard Shiffman, Mikhail Zaidenberg
In this note we show that there are algebraic families of hyperbolic, Fermat-Waring type hypersurfaces in P^n of degree 4(n-1)^2, for all dimensions n>1. Moreover, there are hyperb…
Two classes of hyperbolic surfaces in P^3
Bernard Shiffman, Mikhail Zaidenberg
We construct two classes of singular Kobayashi hyperbolic surfaces in . The first consists of generic projections of the cartesian square of a generic genus $…