Global smoothing of Calabi-Yau threefolds

DOI10.1007/BF01231450zbMath0861.14036WikidataQ60961647 ScholiaQ60961647MaRDI QIDQ1910218

J. H. M. Steenbrink, Yoshinori Namikawa

Publication date: 13 May 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144326

zbMATH Keywords

Calabi-Yau threefoldrational hypersurface singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) (3)-folds (14J30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items

Calabi-Yau threefolds fibred by mirror quartic \(K3\) surfaces, Geometric stability of the cotangent bundle and the universal cover of a projective manifold, PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS, PROJECTIVITY CRITERION OF MOISHEZON SPACES AND DENSITY OF PROJECTIVE SYMPLECTIC VARIETIES, A decomposition theorem for smoothable varieties with trivial canonical class, Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds, Du Bois invariants of isolated complete intersection singularities, Deformations of weak ℚ-Fano 3-folds, Quartic double solids with ordinary singularities, On deformations of \(\mathbb{Q}\)-Fano threefolds. II, Enhanced gauge symmetry in type II string theory, A remark on deformations of 1-convex manifolds with exceptional curves, Terminal singularities, Milnor numbers, and matter in F-theory, Topological strings on non-commutative resolutions, The higher Du Bois and higher rational properties for isolated singularities, A note on nodal determinantal hypersurfaces, Non-rigid quartic -folds, Homological type of geometric transitions, A classification of terminal quartic 3-folds and applications to rationality questions, Jumping of the nef cone for Fano varieties, Abelianity Conjecture for Special Compact Kähler 3-Folds, The movable cone of certain Calabi-Yau threefolds of Picard number two, Algebraic approximation of Kähler threefolds of Kodaira dimension zero, Geometric transitions, On deformations of ℚ-Fano 3-folds, The defect of Fano $3$-folds, Primitive Contractions of Calabi–Yau Threefolds I, COHOMOLOGICALLY HYPERBOLIC ENDOMORPHISMS OF COMPLEX MANIFOLDS, A note on non-flat points in the $ \mathrm{SU} (5) \times \mathrm{U}(1)_{\mathrm{PQ}} $ F-theory model

Cites Work

• Variétés kähleriennes dont la première classe de Chern est nulle
• Betti numbers of hypersurfaces and defects of linear systems
• Simultaneous resolution of threefold double points
• On the mixed Hodge structure on the cohomology of the Milnor fibre
• The moduli space of 3-folds with \(K=0\) may nevertheless be irreducible
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Abundance theorem for minimal threefolds
• Calabi-Yau manifolds with large Picard number
• Shafarevich maps and plurigenera of algebraic varieties
• On deformations of Calabi-Yau 3-folds with terminal singularities
• Connecting moduli spaces of Calabi-Yau threefolds
• Double solids
• Rigidity of quotient singularities
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• Classification of Three-Dimensional Flips
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item