The index of vector fields over Cohen-Macaulay curves

DOI10.1016/j.bulsci.2013.04.006zbMath1287.32012OpenAlexW2079758891MaRDI QIDQ390554

Aleksandr G. Aleksandrov

Publication date: 8 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2013.04.006

zbMATH Keywords

topological indexsingular curves

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

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Differential forms on quasihomogeneous noncomplete intersections ⋮ The Poincaré index and the χ_y-characteristic of Hirzebruch

Cites Work

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• Reguläre Differentialformen
• Über den Derivationenmodul und das Jacobi-Ideal von Kurvensingularitäten
• An algebraic formula for the index of a vector field on an isolated complete intersection singularity
• Deformations of bouquets of quasihomogeneous one-dimensional singularities
• Holomorphe Differentialformen auf algebraischen Varietäten mit Singularitäten. I
• Weierstrass points and monomial curves
• Kähler differentials for points in \(\mathbb{P}^n\)
• The topological index of vector fields at quasihomogeneous complete intersections
• Kähler differentials of affine monomials curves
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Differentialmoduln eindimensionaler lokaler Ringe
• Théorie des résidus de Leray et formes de Barlet sur une intersection complète singulière
• ON THE INDEX OF VECTOR FIELDS TANGENT TO HYPERSURFACES WITH NON-ISOLATED SINGULARITIES
• COHOMOLOGY OF A QUASIHOMOGENEOUS COMPLETE INTERSECTION
• ON DEFORMATIONS OF ONE-DIMENSIONAL SINGULARITIES WITH THE INVARIANTSc= δ + 1
• Real and complex indices of vector fields on complete intersection curves with isolated singularity
• Torsion Differentials and Deformation