Holomorphe Differentialformen auf algebraischen Varietäten mit Singularitäten. I

DOI10.1007/BF01168881zbMath0299.14013MaRDI QIDQ1214972

Ernst Kunz

Publication date: 1975

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154309

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Differential forms in global analysis (58A10) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Differential algebra (12H05)

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The Poincaré index and the χ_y-characteristic of Hirzebruch ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Bounds for sectional genera of varieties invariant under Pfaff fields ⋮ The index of vector fields over Cohen-Macaulay curves ⋮ Rationale quasihomogene Singularitäten ⋮ On the transitivity of regular differential forms ⋮ The multiple residue and the weight filtration on the logarithmic de Rham complex ⋮ Characterizations of zero-dimensional complete intersections ⋮ Residuen von Differentialformen auf Cohen-Macaulay-Varietäten ⋮ Invariante reguläre Differentialformen auf Gorenstein-Algebren ⋮ Arithmetisch ganze Differentiale ⋮ Differentialformen auf algebraischen Varietäten mit Singularitäten. II ⋮ Invariante Differentiale bei der Operation einer endlichen zyklischen Gruppe ⋮ Unnamed Item ⋮ Reguläre Differentialformen ⋮ Generalized Linear Systems on Curves and Their Weierstrass Points ⋮ On a Property of Castelnuovo Varieties ⋮ Canonical modules of Rees algebras ⋮ A bound on the geometric genus of projective varieties verifying certain flag conditions

Cites Work

• Unnamed Item
• Differentialformen inseparabler algebraischer Funktionenkörper
• Differentialrechnung in der analytischen Geometrie
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Differentialmoduln eindimensionaler lokaler Ringe
• Differenten regulärer Ringe.
• Arithmetische Anwendungen der Differentialalgebren.
• On the Jacobian Ideal of the Module of Differentials

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