On the syzygies and Alexander polynomials of nodal hypersurfaces
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Publication:4902784
DOI10.1002/mana.201100326zbMath1435.14010arXiv1111.1533OpenAlexW2052617412MaRDI QIDQ4902784
Gabriel Sticlaru, Alexandru Dimca
Publication date: 17 January 2013
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.1533
Chebyshev polynomialssyzygiesnodal hypersurfacesmixed Hodge structureAlexander polynomialsMilnor algebrapole order filtration
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)
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On the syzygies and Hodge theory of nodal hypersurfaces, Projective rigidity and Alexander polynomials of certain nodal hypersurfaces, On homogeneous polynomials determined by their Jacobian ideal, Hodge Ideals, Hilbert Series and Lefschetz Properties of Dimension One Almost Complete Intersections, Koszul Complexes and Pole Order Filtrations, Versality, Bounds of Global Tjurina Numbers and Logarithmic Vector Fields Along Hypersurfaces with Isolated Singularities
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