Hypersurfaces of the flag variety: Deformation theory and the theorems of Kodaira-Spencer, Torelli, Lefschetz, M. Noether and Serre

DOI10.1007/BF01183036zbMath0662.14029MaRDI QIDQ1113969

Joachim Wehler

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173907

zbMATH Keywords

Picard numberLefschetz theoremsmall deformationsmooth hypersurface in the full flag manifold

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Families, moduli, classification: algebraic theory (14J10) Formal methods and deformations in algebraic geometry (14D15)

Related Items (3)

K3-surfaces with Picard number 2 ⋮ Rational points on K3 surfaces: A new canonical height ⋮ Unnamed Item

Cites Work

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• Homogeneous vector bundles
• An analogue of Max Noether's theorem
• Cyclic coverings: Deformation and Torelli theorem
• K3-surfaces with Picard number 2
• The infinitesimal Torelli problem for zero sets of sections of vector bundles
• Formale Geometrie und homogene Räume
• Les fibres uniformes de rang 3 sur \(\mathbb{P}_2(\mathbb{C})\) sont homogènes
• A very simple proof of Bott's theorem
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
• A Theorem of Completeness for Families of Compact Analytic Spaces

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