Regularity and Saturation in Biprojective Spaces
The paper is being withdrawn since the results are incorporated in paper arxiv.org/abs/math.AG/0306195.
math.AG↗
arXiv subjects
Hao Hao Wang
Publications and source records attributed to Hao Hao Wang.
Equations of Parametric Surfaces with Base Points via Syzygies
Let $S$ be a parametric surface in $\proj{3}$ given as the image of $ϕ: \proj{1} \times \proj{1} \to \proj{3}$. This paper will show that the use of syzygies in the form of a combination of moving planes and moving quadrics provides a valid method for finding the implicit equation of $S$ when certain base points are present. This work extends the algorithm provided by Cox for when $ϕ$ has no base points, and it is an analogous to some of the results of Busé, Cox and D'Andrea for the case when $ϕ: \proj{2} \to \proj{3}$ has base points.
math.AG↗
Curvilinear Base Points, Local Complete Intersection and Kozsul Syzygies in Biprojective Spaces
We prove analogs of results of Cox/Schenck on the structure of certain ideals in the bigraded polynomial ring k[s,u;t,v].
math.AG↗
Castelnuovo-Mumford Regularity in Biprojective Spaces
We define the concept of regularity for bigraded modules and bigraded polynomial ring. In this setting we prove analogs of some of the classical results on $m$-regularity for graded modules over polynomial algebras.
math.AG↗