A generalization of Inoue surfaces $$S^+$$

Abstract Using Lie groups with left-invariant complex structure, we construct new examples of compact complex manifolds with flat affine structure in arbitrarly high dimensions. In the 2-dimensional case, we retrieve the Inoue surfaces $$S^+$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>S</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:math> .

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Publication Details

Journal
Annali di Matematica Pura ed Applicata (1923 -)
Published
2024-10-17
DOI
https://doi.org/10.1007/s10231-024-01513-4
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

A generalization of Inoue surfaces $$S^+$$

David Petcu
Annali di Matematica Pura ed Applicata (1923 -)
Geometric and Algebraic Topology
article

A generalization of Inoue surfaces $$S^+$$

David Petcu
article en

Abstract

Abstract Using Lie groups with left-invariant complex structure, we construct new examples of compact complex manifolds with flat affine structure in arbitrarly high dimensions. In the 2-dimensional case, we retrieve the Inoue surfaces $$S^+$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>S</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:math> .

Annali di Matematica Pura ed Applicata (1923 -)Vol. 204(3)
University of Bucharest (RO), Romanian Academy (RO)
Openalex Percentile: Top 71%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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A generalization of Inoue surfaces $S^+$ — David Petcu · Annali di Matematica Pura ed Applicata (1923 -) (2024) | TGRS Research Map | TGRS