Real varieties associated to complex varieties

DOI10.1016/S0022-4049(03)00108-7zbMath1027.14029OpenAlexW2066433416MaRDI QIDQ1414048

Edoardo Ballico

Publication date: 19 November 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(03)00108-7

zbMATH Keywords

compact complex conjugate spacetorsion bundle over a torus

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Topology of real algebraic varieties (14P25) Transcendental field extensions (12F20) Algebraic dependence theorems (32J10)

Cites Work

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• Decomposition of compact complex varieties and the cancellation problem
• When is a complex elliptic curve the product of two real algebraic curves?
• The underlying real algebraic structure of complex elliptic curves
• Caractérisation des variétés compactes simplifiables et applications aux surfaces algébriques. (Characterization of cancellable compact spaces and applications to algebraic surfaces)
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• Sur la simplification par les variétés homogenes
• Sur la simplification par les tores complexes.
• Sur la simplification dans les isomorphismes analytiques

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