An observation on the existence of stable generalized complex structures on ruled surfaces

Abstract We point out that any stable generalized complex structure on a sphere bundle over a closed surface of genus at least two must be of constant type.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-02-05
DOI
https://doi.org/10.1112/blms.70016
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00
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article

An observation on the existence of stable generalized complex structures on ruled surfaces

Rafael Torres
Bulletin of the London Mathematical Society
Geometry and complex manifolds
article

An observation on the existence of stable generalized complex structures on ruled surfaces

Rafael Torres
article en

Abstract

Abstract We point out that any stable generalized complex structure on a sphere bundle over a closed surface of genus at least two must be of constant type.

Bulletin of the London Mathematical Society
Scuola Internazionale Superiore di Studi Avanzati (IT)
Openalex Percentile: Top 95%
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
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An observation on the existence of stable generalized complex structures on ruled surfaces — Rafael Torres · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS