3 citations · 5 across the 5 of their papers we have counts for
5 papers
Positivity of polynomials on the nonnegative part of certain affine hypersurfaces
Colin Tan, Wing-Keung To
We consider polynomials on the intersection of the closed positive orthant with the height- level hypersurface of certain polynomials with positive coefficients. We show that an…
Characterization of polynomials whose large powers have fully positive coefficients
Colin Tan, Wing-Keung To
We give a criterion which characterizes a real multi-variate Laurent polynomial with full-dimensional smooth Newton polytope to have the property that all sufficiently large powers…
Characterization of polynomials whose large powers have all positive coefficients
Colin Tan, Wing-Keung To
We give a criterion which characterizes a homogeneous real multi-variate polynomial to have the property that all sufficiently large powers of the polynomial (as well as their prod…
Eventual positivity of Hermitian algebraic functions and associated integral operators
Colin Tan, Wing-Keung To
Quillen proved that repeated multiplication of the standard sesquilinear form to a positive Hermitian bihomogeneous polynomial eventually results in a sum of Hermitian squares, whi…
Buser-Sarnak invariant and projective normality of abelian varieties
Jun-Muk Hwang, Wing-Keung To
We show that a general -dimensional polarized abelian variety of a given polarization type and satisfying is proj…