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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Scalar-flat Kähler metrics with varying cone angle singularities along a divisor
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by Gonçalo Oliveira and Rosa Sena-Dias;
Proc. Amer. Math. Soc. 153 (2025), 331-339
DOI: https://doi.org/10.1090/proc/17032
Published electronically: November 25, 2024

Abstract:

Using an ansatz due to LeBrun we construct complete scalar-flat Kähler metrics with a prescribed varying conical singularity along a divisor.
References
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Bibliographic Information
  • Gonçalo Oliveira
  • Affiliation: Department of Mathematics and Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Lisbon, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
  • MR Author ID: 1087767
  • ORCID: 0000-0002-4990-1788
  • Email: goncalo.m.f.oliveira@tecnico.ulisboa.pt, galato97@gmail.com
  • Rosa Sena-Dias
  • Affiliation: Department of Mathematics and Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Lisbon, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
  • MR Author ID: 800916
  • Email: rsenadias@math.ist.utl.pt
  • Received by editor(s): December 29, 2023
  • Received by editor(s) in revised form: August 1, 2024
  • Published electronically: November 25, 2024
  • Additional Notes: This work was partially supported by the Fundação para a Ciência e a Tecnologia (FCT/Portugal) through project EXPL/MAT-PUR/1408/2021EKsta.
  • Communicated by: Lu Wang
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 153 (2025), 331-339
  • MSC (2020): Primary 53C25, 53C55, 32Q15
  • DOI: https://doi.org/10.1090/proc/17032
  • MathSciNet review: 4840280