Hilbert polynomials of j-transforms

Two-dimensional Hilbert Transforms'

Computing Hilbert Class Polynomials

We present and analyze two algorithms for computing the Hilbert class polynomial HD. The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D < 0. The second is an improved Chinese remainder algorithm which uses the class group action on CM-curves over finite fields. Our run time analysis gives tighter bounds for the complexity of all known algorithms for comput...

And Hilbert Polynomials

We show that intersection multiplicities over regular local rings can be computed using Hilbert polynomials of modules over the bigraded rings constructed by Gabber in his proof of Serre's nonnegativity conjecture. As a consequence, we give a simpler proof of a criterion in Kurano and Roberts 7] for intersection multiplicities to be positive. 1. Introduction In 11], Serre introduced a deenition...

Hilbert Polynomials in Combinatorics

We prove that several polynomials naturally arising in combinatorics are Hilbert polynomials of standard graded commutative k-algebras.

Exponential Transforms and Appell Polynomials.