Betti numbers of hypersurfaces and defects of linear systems

DOI10.1215/S0012-7094-90-06010-7zbMath0729.14017MaRDI QIDQ805692

Alexandru Dimca

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Betti numbersisolated singularitymixed Hodge structurespositions of the singularities

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Divisors, linear systems, invertible sheaves (14C20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Topological properties in algebraic geometry (14F45)

Related Items

Sextic Double Solids, Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulières, Hodge numbers of hypersurfaces, On factorial double solids with simple double points, Global smoothing of Calabi-Yau threefolds, On the classification of degree 1 elliptic threefolds with constant \(j\)-invariant, Hypersurfaces with defect, Dichotomous point counts over finite fields, On the topological classification of certain singular hypersurfaces in 4-dimensional projective space, A different method to calculate the rank of an elliptic threefold, Defect formula for nodal complete intersection threefolds, Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces, On factoriality of nodal threefolds, Deformation of polar methods, Koszul Complexes and Hypersurface Singularities, Unnamed Item, Factorial threefold hypersurfaces, Geometric transitions, The defect of Fano $3$-folds, Maximal families of nodal varieties with defect, Defect via differential forms with logarithmic poles, ON THE MILNOR MONODROMY OF THE IRREDUCIBLE COMPLEX REFLECTION ARRANGEMENTS, Weighted multiplier ideals of reduced divisors

Cites Work

• Fifteen characterizations of rational double points and simple critical points
• Algebraic cycles on certain desingularized nodal hypersurfaces
• Mixed Hodges structures on punctured neighborhoods
• Quadratische Formen und Monodromiegruppen von Singularitäten
• Fibre de Milnor d'un cône sur une courbe plane singulière
• Einfach-elliptische Singularitäten
• Double solids
• On the periods of certain rational integrals. I, II
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Local homological properties of analytic sets
• On Analytic Coverings of Weighted Projective Spaces
• On the De Rham cohomology of algebraic varieties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item