Videos

Tools for extracting information from numerically approximated varieties and schemes

Presenter
September 20, 2006
Keywords:
  • Discrete approximations
MSC:
  • 49M25
Abstract
There are natural situations where one is led to consider numeric approximations of varieties, schemes, sheaves, ideals, modules, etc. For instance, given a homogeneous ideal one might be able to determine a reduced primary decomposition via numerical methods (such as homotopy continuation) whereas symbolic methods might be too slow or not even apply. This provides motivation to develop a set of tools to handle and manipulate numerically approximated varieties and schemes. In this talk, I will discuss some tools of use for these objects. This is joint work with Dan Bates and Andrew Sommese.