English

Truncated moment problems on positive-dimensional algebraic varieties

Commutative Algebra 2022-03-03 v1

Abstract

This manuscript transfers the main aspects of Prony's method from finitely-supported measures to the classes of signed or non-negative measures supported on algebraic varieties of any dimension. In particular, we show that the Zariski closure of the support of these measures is determined by finitely many moments and can be computed from the kernel of certain moment matrices.

Keywords

Cite

@article{arxiv.2203.01269,
  title  = {Truncated moment problems on positive-dimensional algebraic varieties},
  author = {Markus Wageringel},
  journal= {arXiv preprint arXiv:2203.01269},
  year   = {2022}
}

Comments

21 pages, 1 figure

R2 v1 2026-06-24T09:59:40.359Z