Koszul Complexes and Hypersurface Singularities

DOI10.2307/2161209zbMath0814.14037OpenAlexW4255045594MaRDI QIDQ4303802

A. D. R. Choudary, Alexandru Dimca

Publication date: 20 June 1995

Full work available at URL: https://doi.org/10.2307/2161209

zbMATH Keywords

Koszul complexHilbert seriesisolated hypersurface singularitiesMilnor algebra

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Hypersurfaces and algebraic geometry (14J70)

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On the syzygies and Hodge theory of nodal hypersurfaces, Freeness versus maximal degree of the singular subscheme for surfaces in \(\mathbb {P}^3\), On the Poincaré series of the Milnor algebra of arrangements, A generalization of Griffiths's theorem on rational integrals, Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers, Quasi-complete intersections in \(\mathbb{P}^2\) and syzygies, Syzygies of Jacobian ideals and weighted homogeneous singularities, Freeness versus maximal global Tjurina number for plane curves, Numerical invariants and moduli spaces for line arrangements, Mixed multiplicities, Hilbert polynomials and homaloidal surfaces, On the syzygies and Alexander polynomials of nodal hypersurfaces, Saturation of Jacobian ideals: some applications to nearly free curves, line arrangements and rational cuspidal plane curves, Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves, Zeta functions of projective hypersurfaces with ordinary double points, Versality, Bounds of Global Tjurina Numbers and Logarithmic Vector Fields Along Hypersurfaces with Isolated Singularities

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