Work

Stable properties under weakly geometrically flat maps

Year: 2025

Type: article

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 $N$.

Source: MATHEMATICA SCANDINAVICA

DOI: 10.7146/math.scand.a-148979

Authors: Daniel Barlet, Jón Magnússon

Institutions: Institut Élie Cartan de Lorraine, Université de Lorraine, University of Iceland

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4396244352

FWCI: 3.605

Cites:

Cited by: 2

Related to: 10