English

Stable properties under weakly geometrically flat maps

Complex Variables 2024-05-01 v1

Abstract

In this note we show that a weakly geometrically flat map π\pi : M \rightarrow N between pure dimensional complex spaces has the local lifting property for cycles. From this result we also deduce that, under these hypotheses, several properties of M are transferred to N.

Keywords

Cite

@article{arxiv.2404.19522,
  title  = {Stable properties under weakly geometrically flat maps},
  author = {Daniel Barlet and Jon Ingolfur Magnusson},
  journal= {arXiv preprint arXiv:2404.19522},
  year   = {2024}
}
R2 v1 2026-06-28T16:11:16.981Z