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Cycles algébriques et topologie des surfaces bielliptiques réelles. (Algebraic cycles and topology of real bi-elliptic surfaces) - MaRDI portal

Cycles algébriques et topologie des surfaces bielliptiques réelles. (Algebraic cycles and topology of real bi-elliptic surfaces) (Q1405754)

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scientific article; zbMATH DE number 1971462
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English
Cycles algébriques et topologie des surfaces bielliptiques réelles. (Algebraic cycles and topology of real bi-elliptic surfaces)
scientific article; zbMATH DE number 1971462

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    Cycles algébriques et topologie des surfaces bielliptiques réelles. (Algebraic cycles and topology of real bi-elliptic surfaces) (English)
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    26 August 2003
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    Summary: Using topological data, we give a classification of totally algebraic real surfaces among all the bi-elliptic surfaces. Thus this work completes the determination of totally algebraic real surfaces among all zero-Kodaira dimensional surfaces. Furthermore we give an example of a complex algebraic surface which is not deformation equivalent to any surface with non-empty totally algebraic structure.
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    algebraic cycles
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    totally algebraic real surfaces
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    hyperelliptic surfaces
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    bi-elliptic surfaces
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