Stable properties under weakly geometrically flat maps

In this note we show that a weakly geometrically flat map $\pi \colon M\rightarrow N$ 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 $N$.

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Publication Details

Journal
MATHEMATICA SCANDINAVICA
Published
2025-03-25
DOI
https://doi.org/10.7146/math.scand.a-148979
Citations
2
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
8.18
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article

Stable properties under weakly geometrically flat maps

Daniel Barlet, Jón Magnússon
2 citations
MATHEMATICA SCANDINAVICA
Advanced Differential Equations and Dynamical Systems
8.18
article

Stable properties under weakly geometrically flat maps

Daniel Barlet, Jón Magnússon
article en
2 citations

Abstract

In this note we show that a weakly geometrically flat map $\pi \colon M\rightarrow N$ 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 $N$.

MATHEMATICA SCANDINAVICAVol. 131(1)
University of Iceland (IS), Institut Élie Cartan de Lorraine (FR), Université de Lorraine (FR)
Openalex Percentile: Top 5%
Advanced Differential Equations and Dynamical Systems
8.18
DOIOpen Access PDFOpenAlex
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