Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

On Huh's conjectures for the polar degree


Authors: Dirk Siersma, Joseph Steenbrink and Mihai Tibăr
Journal: J. Algebraic Geom.
DOI: https://doi.org/10.1090/jag/741
Published electronically: December 16, 2019
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Abstract | References | Additional Information

Abstract: We prove a precise version of a general conjecture on the polar degree stated by June Huh. We confirm Huh's conjectural list of all projective hypersurfaces with isolated singularities and polar degree equal to 2.


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Additional Information

Dirk Siersma
Affiliation: Institute of Mathematics, Utrecht University, P.O. Box 80010, 3508 TA Utrecht, The Netherlands
Email: D.Siersma@uu.nl

Joseph Steenbrink
Affiliation: IMAPP, Radboud University Nijmegen, Nijmegen, The Netherlands
Email: j.steenbrink@math.ru.nl

Mihai Tibăr
Affiliation: University Lille, CNRS, UMR 8524 - Laboratoire Paul Painlevé, F-59000 Lille, France
Email: mihai-marius.tibar@univ-lille.fr

DOI: https://doi.org/10.1090/jag/741
Received by editor(s): November 21, 2018
Received by editor(s) in revised form: April 4, 2019
Published electronically: December 16, 2019
Additional Notes: The first and third authors express their gratitude to the Mathematisches Forschungsinstitut Obewolfach for supporting this research project through the Research in Pairs program 2017 and acknowledge the support of the Labex CEMPI (ANR-11-LABX-0007-01)
Article copyright: © Copyright 2019 University Press, Inc.