Real structures on primary Hopf surfaces
The first goal of this article is to give a complete classification (up to Real biholomorphisms) of Real primary Hopf surfaces (H,s)\left(H,s), and, for any such pair, to describe in detail the following naturally associated objects : the group Auth(H,s){{\rm{Aut}}}_{h}\left(H,s) of Real automorphis...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-12-01
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| Series: | Complex Manifolds |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/coma-2024-0007 |
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| Summary: | The first goal of this article is to give a complete classification (up to Real biholomorphisms) of Real primary Hopf surfaces (H,s)\left(H,s), and, for any such pair, to describe in detail the following naturally associated objects : the group Auth(H,s){{\rm{Aut}}}_{h}\left(H,s) of Real automorphisms, the Real Picard group (Pic(H),sˆ*)\left({\rm{Pic}}\left(H),{\hat{s}}^{* }), and the Picard group of Real holomorphic line bundles PicR(H){{\rm{Pic}}}_{{\mathbb{R}}}\left(H). Our second goal is the classification of Real primary Hopf surfaces up to equivariant diffeomorphisms, which will allow us to describe explicitly in each case the real locus H(R)=HsH\left({\mathbb{R}})={H}^{s} and the quotient H⁄⟨s⟩H/\langle s\rangle . |
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| ISSN: | 2300-7443 |