The infinitesimal Torelli problem for zero sets of sections of vector bundles

DOI10.1007/BF01174340zbMath0613.14010MaRDI QIDQ1088739

Hubert Flenner

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/173787

zbMATH Keywords

complete intersectionsinfinitesimal Torelli theoremcohomology of vector bundle

Mathematics Subject Classification ID

Complete intersections (14M10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

Unnamed Item ⋮ Hypersurfaces of the flag variety: Deformation theory and the theorems of Kodaira-Spencer, Torelli, Lefschetz, M. Noether and Serre ⋮ Complete intersections: moduli, Torelli, and good reduction ⋮ Unnamed Item ⋮ Infinitesimal categorical Torelli theorems for Fano threefolds ⋮ Integral points on algebraic subvarieties of period domains: from number fields to finitely generated fields ⋮ o-minimal GAGA and a conjecture of Griffiths ⋮ Differential forms and quadrics of the canonical image ⋮ Generic Torelli theorem for hypersurfaces of certain compact homogeneous Kähler manifolds ⋮ On the period map for abelian covers of algebraic varieties ⋮ The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties ⋮ Very ampleness and the infinitesimal Torelli problem ⋮ Infinitesimal Torelli theorem for double coverings of surfaces of general type ⋮ Das infinitesimale Torelli Problem für einfache Überlagerungen von hohem Grad. (The infinitesimal Torelli problem for simple coverings of high degree) ⋮ Unnamed Item ⋮ On the period map for prime Fano threefolds of degree 10 ⋮ ORBIFOLD ASPECTS OF CERTAIN OCCULT PERIOD MAPS ⋮ Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds. II ⋮ Infinitesimal Torelli theorem for complete intersections in certain homogeneous Kähler manifolds. III

Cites Work

• Some remarks on vanishing theorems for holomorphic vector bundles
• Freie Auflösungen äußerer Potenzen
• A theorem of local-Torelli type
• Divisorenklassengruppen quasihomogener Singularitäten.
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The infinitesimal Torelli problem for zero sets of sections of vector bundles