Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Algebraic stratified general position and transversality


Authors: Clint McCrory, Adam Parusiński and Laurenţiu Păunescu
Journal: J. Algebraic Geom. 28 (2019), 139-152
DOI: https://doi.org/10.1090/jag/713
Published electronically: September 21, 2018
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Abstract | References | Additional Information

Abstract: The method of Whitney interpolation is used to construct, for any real or complex projective algebraic variety, a stratified submersive family of self-maps that yields stratified general position and transversality theorems for semialgebraic subsets.


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Additional Information

Clint McCrory
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email: clint@math.uga.edu

Adam Parusiński
Affiliation: Université Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, 06108 Nice, France
Email: adam.parusinski@unice.fr

Laurenţiu Păunescu
Affiliation: School of Mathematics, University of Sydney, Sydney, NSW, 2006, Australia
Email: laurent@maths.usyd.edu.au

DOI: https://doi.org/10.1090/jag/713
Received by editor(s): February 14, 2017
Received by editor(s) in revised form: August 16, 2017, September 17, 2017, and October 26, 2017
Published electronically: September 21, 2018
Additional Notes: This work was partially supported by ANR project STAAVF (ANR-2011 BS01 009), by ARC DP150103113, by Sydney University BSG2014, and by Faculty of Science PSSP
Article copyright: © Copyright 2018 University Press, Inc.

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