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Characterizations of \({\mathbb{P}}^ 3\) and hyperquadrics \(Q^ 3\) in \({\mathbb{P}}^ 4\)

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Publication:1090375
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DOI10.3792/pjaa.62.230zbMath0621.14024OpenAlexW2054180861MaRDI QIDQ1090375

Iku Nakamura

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.230

zbMATH Keywords

Kodaira dimensionalgebraic threefoldscompact complex threefoldsMoishezon threefoldnon-Kählerian rigidity theorem


Mathematics Subject Classification ID

(3)-folds (14J30) Families, moduli, classification: algebraic theory (14J10) Compact analytic spaces (32J99) Moduli, classification: analytic theory; relations with modular forms (14J15)




Cites Work

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  • On the complex projective spaces
  • A rigidity theorem for \({\mathbb{P}}_ 3({\mathbb{C}})\)
  • Algebraic structures on certain 3-folds
  • Moishezon threefolds homeomorphic to \({\mathbb{P}}^ 3\)
  • Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
  • On D-dimensions of algebraic varieties
  • Characterizations of complex projective spaces and hyperquadrics
  • Ein Satz über die komplexen Quadriken
  • Calabi's conjecture and some new results in algebraic geometry
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